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CVP Relationships

Cost-Volume-Profit (CVP) analysis examines the relationships between selling prices, sales volume, production costs, and profits. It allows managers to better understand how these factors affect a firm's profitability. CVP analysis assumes costs can be separated into fixed and variable components, and that variable costs per unit and selling prices remain constant over the relevant range of activity. Managers can use sensitivity analysis to vary assumptions and see the effects on the breakeven point and profit.

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0% found this document useful (0 votes)
231 views52 pages

CVP Relationships

Cost-Volume-Profit (CVP) analysis examines the relationships between selling prices, sales volume, production costs, and profits. It allows managers to better understand how these factors affect a firm's profitability. CVP analysis assumes costs can be separated into fixed and variable components, and that variable costs per unit and selling prices remain constant over the relevant range of activity. Managers can use sensitivity analysis to vary assumptions and see the effects on the breakeven point and profit.

Uploaded by

seph091592
Copyright
© Attribution Non-Commercial (BY-NC)
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Download as PDF, TXT or read online on Scribd
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Cost-Volume-Profit Analysis

MODULE 4 COST-VOLUME-PROFIT ANALYSIS THEORIES: 1. To which function of management is CVP analysis most applica le! ". Planning C. #i$ecting %. O$gani&ing #. Cont$olling %o a'illa (. The systematic e)amination of the $elationships among selling p$ices* +olume of sales an' p$o'uction* costs* an' p$ofits is te$me': ". cont$i ution ma$gin analysis C. u'geta$y analysis %. cost,+olume,p$ofit analysis #. g$oss p$ofit analysis %o a'illa -. The te$m cont$i ution ma$gin is est 'efine' as the: ". 'iffe$ence etween fi)e' costs an' +a$ia le costs. %. 'iffe$ence etween $e+enue an' fi)e' costs. C. amount a+aila le to co+e$ fi)e' costs an' p$ofit. #. amount a+aila le to co+e$ +a$ia le costs.

%. "mount of sales $e+enue nee'e' to co+e$ ente$p$ise fi)e' costs. C. Relationship among $e+enues* +a$ia le costs* an' fi)e' costs at +a$ious le+els of acti+ity. #. Volume o$ output le+el at which the ente$p$ise $ea/s e+en. %o a'illa 4. 5hich of the facto$s is 6a$e7 in+ol+e' in stu'ying cost,+olume,p$ofit $elationships! ". 8e+els of p$o'uction C. 9i)e' costs %. Va$ia le costs #. "ll of these %o a'illa :. "t the $ea/e+en point* fi)e' cost is always ". 8ess than the cont$i ution ma$gin C. ;o$e than the cont$i ution ma$gin %. E<ual to the cont$i ution ma$gin. #. ;o$e than the +a$ia le cost %o a'illa =. "t the $ea/,e+en point: ". net income will inc$ease y the unit cont$i ution ma$gin fo$ each a''itional item sol' a o+e $ea/,e+en. %. the total cont$i ution ma$gin changes f$om negati+e to positi+e C. fi)e' costs a$e g$eate$ than cont$i ution ma$gin #. the cont$i ution ma$gin $atio egins to inc$ease %o a'illa 1>.In cost,+olume,p$ofit analysis* the g$eatest p$ofit will e ea$ne' at ". One hun'$e' pe$cent at no$mal p$o'ucti+e capacity. %. The p$o'uction point with the lowest ma$ginal cost. C. The p$o'uction point at which a+e$age total $e+enue e)cee's a+e$age ma$ginal cost. #. The point at which ma$ginal cost an' ma$ginal $e+enue a$e e<ual. %o a'illa 11.5hich of the following is not an assumption un'e$lying C,V,P analysis! ". The eha+io$ of total $e+enue is linea$. %. ?nit +a$ia le e)penses $emain unchange' as acti+ity +a$ies. C. In+ento$y le+els at the eginning an' en' of the pe$io' a$e the same.
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%o a'illa

.. Cost,+olume,p$ofit analysis allows management to 'ete$mine the $elati+e p$ofita ility of a p$o'uct y ". Highlighting potential ottlenec/s in the p$o'uction p$ocess. %. #ete$mining the cont$i ution ma$gin pe$ unit an' p$o0ecte' p$ofits at +a$ious le+els of p$o'uction. C. "ssigning costs to a p$o'uct in a manne$ that ma)imi&es the cont$i ution ma$gin. #. 1eeping fi)e' costs to an a solute minimum. %o a'illa 2. Cost,+olume,p$ofit analysis cannot e use' if which of the following occu$s! ". Costs cannot e p$ope$ly classifie' into fi)e' an' +a$ia le costs. %. The pe$ unit +a$ia le costs change. C. The total fi)e' costs change. #. Pe$ unit sales p$ices change. %o a'illa 3. The most useful info$mation 'e$i+e' f$om a $ea/e+en cha$t is the ". "mount of sales $e+enue nee'e' to co+e$ ente$p$ise +a$ia le costs.

Cost-Volume-Profit Analysis

#. The num e$ of units p$o'uce' e)cee's the num e$ of units sol'. %o a'illa 1(.5hich of the following assumptions is inhe$ent to C,V,P analysis! ". In manufactu$ing fi$ms* the eginning an' en'ing in+ento$y le+els a$e the same. %. In a multi,p$o'uct o$gani&ation* the sales mi) +a$ies o+e$ time. C. The eha+io$ of total $e+enue is cu$+ilinea$. #. he $ele+ant $ange is not a consi'e$ation. %o a'illa 1-.5hich of the following assumptions is closely $ele+ant to cost, +olume,p$ofit analysis! ". fo$ multiple p$o'uct analysis* the sales mi) is not impo$tant %. in+ento$y le+els $emain unchange' C. total fi)e' costs an' unit +a$ia le costs can e i'entifie' an' $emain constant o+e$ the $ele+ant $ange #. % an' C %o a'illa 1.."'+ocates of cost,+olume,p$ofit analysis a$gue that: ". 9i)e' costs a$e i$$ele+ant fo$ 'ecision ma/ing. %. 9i)e' costs a$e man'ato$y fo$ CVP 'ecision ma/ing. C. #iffe$entiation etween the patte$ns of +a$ia le costs an' fi)e' costs is c$itical. #. 9i)e' costs a$e necessa$y to calculate in+ento$y +aluations. %o a'illa 12.5ith $espect to fi)e' costs* C,V,P analysis assumes total fi)e' costs ". pe$ unit $emains constant as +olume changes %. $emain constant f$om one pe$io' to the ne)t C. +a$y 'i$ectly with +olume #. $emain constant ac$oss changes in +olume %o a'illa 13.The CVP mo'el assumes that o+e$ the $ele+ant $ange of acti+ity: ". only $e+enues a$e linea$. C. unit +a$ia le cost is not constant. %o a'illa %. total fi)e' cost changes. #. $e+enues an' total costs a$e linea$.

14.5hich of the following is not a limiting facto$ of Cost,Volume,P$ofit analysis! ". The p$ocess assumes a linea$ $elationship among the +a$ia les. %. The p$ocess assumes +a$ia le costs pe$ unit a$e a+aila le. C. Efficiency is assume' to e constant. #. In+ento$y le+els a$e assume' to not change. %o a'illa 1:.Cost,+olume,p$ofit analysis is a techni<ue a+aila le to management to un'e$stan' ette$ the inte$$elationships of se+e$al facto$s that affect a fi$m@s p$ofit. "s with many such techni<ues* the accountant o+e$simplifies the $eal wo$l' y ma/ing assumptions. 5hich of the following is not a ma0o$ assumption un'e$lying CVP analysis! ". "ll costs incu$$e' y a fi$m can e sepa$ate' into thei$ fi)e' an' +a$ia le components. %. The p$o'uctAs selling p$ice pe$ unit is constant at all +olume le+els within a $ele+ant $ange. C. Ope$ating efficiency an' employee p$o'ucti+ity is constant at all +olume le+els. #. 9o$ multi,p$o'uct situations* the sales mi) can +a$y at 'iffe$ent +olume le+els. %o a'illa 1=.Pines Company has a highe$ 'eg$ee of ope$ating le+e$age than Tagaytay Company. 5hich of the following is t$ue! ". Pines has highe$ +a$ia le e)pense. %. Pines is mo$e p$ofita le than Tagaytay CompanyAs. C. Pines is mo$e $is/y than Tagaytay is. #. Pines@ p$ofits a$e less sensiti+e to pe$centage changes in sales. %o a'illa (>."s p$o0ecte' net income inc$eases the ". 'eg$ee of ope$ating le+e$age 'eclines. C. $ea/,e+en point goes 'own. %o a'illa %. ma$gin of safety stays constant. #. cont$i ution ma$gin $atio goes up. (1.Bi+en the following notations* what is the units!
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$ea/e+en sales le+el in

Cost-Volume-Profit Analysis

SP C selling p$ice pe$ unit 9C C total fi)e' cost VC C +a$ia le cost pe$ unit ". SP D 69CDVC7 %. 9CD6VCDSP7

%. has a high net income. $ea/e+en point. C. VCD6SP E 9C7 #. 9CD6SP E VC7 %o a'illa

#. is

ope$ating

close

to

its

((." company inc$ease' the selling p$ice fo$ its p$o'uct f$om P1.>> to P1.1> a unit when total fi)e' costs inc$ease' f$om P.>>*>>> to P.:>*>>> an' +a$ia le cost pe$ unit $emaine' unchange'. How woul' these changes affect the $ea/e+en point! ". The $ea/e+en point in units woul' e inc$ease'. %. The $ea/e+en point in units woul' e 'ec$ease'. C. The $ea/e+en point in units woul' $emain unchange'. #. The effect cannot e 'ete$mine' f$om the info$mation gi+en. %o a'illa (-.On Fanua$y 1* (>>4* Inc$emental Company inc$ease' its 'i$ect la o$ wage $ates. "ll othe$ u'gete' costs an' $e+enues we$e unchange'. How 'i' this inc$ease affect Inc$emental CompanyAs u'gete' $ea/,e+en point an' u'gete' ma$gin of safety! %o a'illa ". %. C. #. %u'gete' %$ea/,e+en Inc$eas Inc$eas #ec$eas #ec$eas Point e e e e E)pecte' ;a$gin of Inc$eas #ec$eas #ec$eas Inc$eas Safety e e e e (.."s the +a$ia le cost inc$eases ut the selling p$ice $emains constant* the ". #eg$ee of ope$ating le+e$age 'eclines C. %$ea/e+en point goes 'own %o a'illa %. ;a$gin of safety stays constant #. Cont$i ution ma$gin $atio goes up (2." +e$y high 'eg$ee of ope$ating le+e$age 6#O87 in'icates that a fi$m: ". has high fi)e' costs. C. has high +a$ia le costs. %o a'illa
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(3.5ith the ai' of compute$ softwa$e* manage$s can +a$y assumptions $ega$'ing selling p$ices* costs* an' +olume an' can imme'iately see the effects of each change on the $ea/,e+en point an' p$ofit. Such an analysis is calle' ". G5hat ifH o$ sensiti+ity analysis. C. Compute$ ai'e' analysis. %. Va$y the 'ata analysis. #. #ata gathe$ing. %o a'illa (4.If a company $aises its ta$get peso p$ofit* its ". $ea/,e+en point $ises. %. fi)e' costs inc$ease. C. $e<ui$e' total cont$i ution ma$gin inc$eases. #. selling p$ice $ises.

%o a'illa

(:.%$oa'way Company sells th$ee p$o'ucts: "* % an' C. P$o'uct "@s unit cont$i ution ma$gin is highe$ than P$o'uct %@s which is highe$ than P$o'ucts C@s. 5hich one of the following e+ents is most li/ely to inc$ease the company@s o+e$all $ea/,e+en point! ". The installation of new automate' e<uipment an' su se<uent lay,off of facto$y wo$/e$s. %. " 'ec$ease in P$o'uct C@s selling p$ice. C. "n inc$ease in the o+e$all ma$/et 'eman' fo$ P$o'uct %. #. " change in the $elati+e ma$/et 'eman' fo$ the p$o'ucts* with the inc$ease fa+o$ing P$o'uct " $elati+e to P$o'uct % an' P$o'uct C. %o a'illa (=.5hich of the following is not a enefit of using sensiti+ity analysis! ". ;o$e people can see the impact of thei$ i'eas on the p$o0ect. %. The use of a sp$ea'sheet p$og$am inc$eases the accu$acy of the p$o0ections. C. 5hat will happen is not /nown in a'+ance so a +a$iety of options can e e)plo$e' p$io$ to ma/ing a 'ecision. #. " well,w$itten sp$ea'sheet will allow fo$ a +a$iety of <uestions to e answe$e' in a minimal amount of time. %o a'illa

Cost-Volume-Profit Analysis

->." Cost,Volume,P$ofit g$aph contains an I"$ea of 8ossI an' an I"$ea of P$ofita ilityI. 5hich of the following est e)plains the 'iffe$ence etween the two points on the g$aph! ". The a$ea of loss $ep$esents the 'iffe$ence etween Sales an' Va$ia le Cost. %. The a$ea of loss egins with the concept that fi)e' costs ha+e to e $eco+e$e' p$io$ to sales cont$i uting to p$ofit. C. The a$ea of p$ofit $ep$esents the 'iffe$ence etween Sales an' Va$ia le Cost. #. The a$ea of p$ofit egins with the concept that no company woul' ha+e any le+el of sales elow the $ea/,e+en point. %o a'illa -1.5hich of the following est 'esc$i es the impact of selling mo$e units! ". The inc$ease in sales +olume inc$eases total +a$ia le cost. %. The inc$ease in sales +olume means an inc$ease in total fi)e' cost. C. The inc$ease in sales inc$eases cont$i ution ma$gin* causing net income to 'ec$ease. #. The inc$ease in sales inc$eases cont$i ution ma$gin pe$ unit causing the $ea/,e+en point to 'ec$ease. %o a'illa -(.On a cost,+olume,p$ofit cha$t 6 $ea/,e+en g$aph7* whe$e a$e the total fi)e' costs shown! ". "s the point whe$e the sales line inte$sects the +e$tical a)is 6pesos7 %. "s the point whe$e the sales line c$osses the total cost line C. "s the point whe$e the sales line c$osses the ho$i&ontal a)is 6+olume7 #. "s the point whe$e the total cost line inte$sects the +e$tical a)is 6pesos7 %o a'illa --.5hen using con+entional cost,+olume,p$ofit analysis* some assumptions a out costs an' sales p$ices a$e ma'e. 5hich of the following is one of those assumptions! ". The cont$i ution ma$gin will change as +olume inc$eases %. The +a$ia le cost pe$ unit will 'ec$ease as +olume inc$eases
100

C. The sales p$ice pe$ unit will $emain constant as +olume inc$eases #. 9i)e' cost pe$ unit will $emain the same as +olume inc$eases %o a'illa -..Classifying a cost as fi)e' o$ +a$ia le 'epen's on how it eha+es ". pe$ unit* as the +olume of acti+ity changes. %. in total* as the +olume of acti+ity changes. C. oth " an' % a$e co$$ect. #. none of the a o+e. %o a'illa -2." fi)e' cost is the same pe$centage of sales in th$ee 'iffe$ent months. 5hich of the following is t$ue! ". The company ha' the same sales in each of those months. %. The cost is oth fi)e' an' +a$ia le. C. The company is ope$ating at its $ea/,e+en point. #. The company is achie+ing its ta$get le+el of p$ofit. %o a'illa -3.Pe$,unit +a$ia le cost ". $emains constant within the $ele+ant $ange. %. inc$eases as +olume inc$eases within the $ele+ant $ange. C. 'ec$eases as +olume inc$eases within the $ele+ant $ange. #. 'ec$eases if +olume inc$eases eyon' the $ele+ant $ange. %o a'illa -4.In planning p$o'uct mi) fo$ ma)imum p$ofit* CVP analysis woul' stimulate sales of the p$o'uct y inc$easing the: ". sales p$ice C. cont$i ution ma$gin %. +a$ia le cost pe$ unit #. emphasis on custome$ p$io$ity %o a'illa -:." $elati+ely low ma$gin of safety $atio fo$ a p$o'uct is usually an in'ication that the p$o'uct: ". is losing money %. has a high cont$i ution ma$gin C. is $is/ie$ than highe$ ma$gin of safety p$o'ucts #. is less $is/y than highe$ ma$gin of safety p$o'ucts %o a'illa

Cost-Volume-Profit Analysis

-=.5ithin the $ele+ant $ange* total $e+enues an' total costs ". inc$ease* ut at a 'ec$easing $ate. C. $emain constant. %. 'ec$ease. #. can e g$aphe' as st$aight lines. %o a'illa .>."n assumption in a CVP analysis is that a change in costs is cause' y a change in ". unit 'i$ect mate$ial cost C. sales commission pe$ unit %o a'illa %. the num e$ of units #. efficiency 'ue to lea$ning cu$+e effect .1.In CVP analysis* when the num e$ of units changes* which one of the following will $emain the same! ". Total sales $e+enues C. Total fi)e' costs %. Total +a$ia le costs #. Total cont$i ution ma$gin %o a'illa .(."s fi)e' costs fo$ a fi$m $ise* all othe$ things hel' constant* the $ea/e+en point will ". e unchange' C. inc$ease %. not e affecte' y fi)e' costs #. 'ec$ease %o a'illa .-.5hich of the following woul' not affect the $ea/e+en point! ". Jum e$ of units sol'. C. Total fi)e' costs. %. Va$ia le cost pe$ unit. #. Sales p$ice pe$ unit. %o a'illa ...The ma$gin of safety is a /ey concept of CVP analysis. The ma$gin of safety is ". The cont$i ution ma$gin $ate. %. The 'iffe$ence etween u'gete' cont$i ution ma$gin an' actual cont$i ution ma$gin. C. The 'iffe$ence etween u'gete' cont$i ution ma$gin an' $ea/e+en cont$i ution ma$gin #. The 'iffe$ence etween u'gete' sales an' $ea/e+en sales. %o a'illa

.2." techni<ue fo$ 'ete$mining what woul' happen in a 'ecision analysis if a /ey p$e'iction o$ assumption p$o+es to e w$ong is calle': ". CVP analysis. C. Post,au'it analysis. %o a'illa %. Sensiti+ity analysis. #. Cont$i ution,ma$gin +a$iation analysis. .3."n inc$ease in the unit +a$ia le cost will gene$ally cause an inc$ease in all of the following e)cept ". the $ea/,e+en point. C. total +a$ia le costs. %. cont$i ution ma$gin. #. unit selling p$ice. %o a'illa .4.The most li/ely st$ategy to $e'uce the $ea/e+en point woul' e to ". Inc$ease oth the fi)e' costs an' the cont$i ution ma$gin. %. #ec$ease oth the fi)e' costs an' the cont$i ution ma$gin. C. #ec$ease the fi)e' costs an' inc$ease the cont$i ution ma$gin. #. Inc$ease the fi)e' costs an' 'ec$ease the cont$i ution ma$gin. %o a'illa .:.The $ea/,e+en point in total sales 'ec$eases when: ". +a$ia le cost inc$eases an' sales $emain unchange' %. +a$ia le cost inc$eases an' sales inc$ease C. fi)e' cost inc$eases #. fi)e' cost 'ec$eases

%o a'illa

.=.5hich of the following est 'esc$i es the impact of an inc$ease in fi)e' cost! ". The inc$ease in fi)e' cost will $esult in an inc$ease in selling mo$e units. %. The inc$ease in fi)e' cost will cause an inc$ease in +a$ia le cost. C. The inc$ease in fi)e' cost causes net income to 'ec$ease an' the $ea/,e+en point to 'ec$ease. #. The inc$ease in fi)e' cost causes net income to 'ec$ease an' the $ea/,e+en point to inc$ease. %o a'illa 2>." companyAs $ea/e+en point in peso sales may e affecte' y e<ual pe$centage inc$eases in oth selling p$ice an' +a$ia le cost pe$ unit 6assume all othe$ facto$s a$e e<ual within the $ele+ant
101

Cost-Volume-Profit Analysis

$ange7. The e<ual pe$centage changes in selling p$ice an' +a$ia le cost pe$ unit will cause the $ea/e+en point in peso sales to ". #ec$ease y less than the pe$centage inc$ease in selling p$ice. %. #ec$ease y mo$e than the pe$centage inc$ease in the selling p$ice. C. Inc$ease y less than the pe$centage inc$ease in selling p$ice. #. Remain unchange'. %o a'illa 21.If the fi)e' costs atten'ant to a p$o'uct inc$ease while +a$ia le costs an' sales p$ice $emains constant* what will happen to cont$i ution ma$gin 6C;7 an' $ea/e+en point 6%EP7! %o a'illa ". %. C. #. C; Inc$ease #ec$ease ?nchange ?nchange ' ' %EP #ec$ease Inc$ease Inc$ease ?nchange ' 2(.5hich of the following will 'ec$ease the $ea/e+en point! %o a'illa #ec$ease in Selling Inc$ease in #i$ect Inc$ease in 9i)e' P$ice 8a o$ Cost " KES KES KES . % KES JO KES . C JO JO KES . # JO JO JO . 2-.5hich of the following is an inco$$ect statement! ". The cont$i ution income statement that is p$epa$e' fo$ inte$nal use$s is ette$ than the t$a'itional income statement as a management tool to p$e'ict the $esults of inc$eases o$ 'ec$eases in sales +olume* +a$ia le costs* an' fi)e' costs. %. The g$eate$ the p$opo$tion of fi)e' costs in a fi$m@s cost st$uctu$e* the smalle$ will e the impact on p$ofit f$om a gi+en pe$centage change in sales $e+enue.

C. In an economic $ecession* the highly automate' company with high fi)e' costs will e less a le to a'apt to lowe$ consume$ 'eman' than will a fi$m with a mo$e la o$,intensi+e p$o'uction p$ocess. #. " ma0o$ 'iffe$ence etween income statements p$epa$e' un'e$ the t$a'itional fo$mat an' those p$epa$e' un'e$ the cont$i ution fo$mat is that e)penses un'e$ the t$a'itional fo$mat a$e shown y function* while the e)penses shown un'e$ the cont$i ution fo$mat a$e shown y function an' cost eha+io$. %o a'illa 2..If a company is ope$ating at a loss* ". fi)e' costs a$e g$eate$ than sales. %. selling p$ice is lowe$ than the +a$ia le cost pe$ unit. C. selling p$ice is less than the a+e$age total cost pe$ unit. #. fi)e' cost pe$ unit is g$eate$ than +a$ia le cost pe$ unit. %o a'illa 22."s ". %. C. #. +olume inc$eases* a+e$age cost pe$ unit inc$eases. 'ec$eases. $emains constant. inc$eases in p$opo$tion to the change in +olume.

%o a'illa

23.If all goes acco$'ing to plan e)cept that unit +a$ia le cost falls* ". total cont$i ution ma$gin will e lowe$ than e)pecte'. %. the cont$i ution ma$gin pe$centage will e lowe$ than e)pecte'. C. p$ofit will e highe$ than e)pecte'. #. pe$,unit cont$i ution ma$gin will e lowe$ than e)pecte'. %o a'illa 24.5hich of the following 'ec$eases pe$,unit cont$i ution ma$gin the most fo$ a company that is cu$$ently ea$ning a p$ofit! ". " 1>L 'ec$ease in selling p$ice. C. " 1>L inc$ease in fi)e' costs. %o a'illa %. " 1>L inc$ease in +a$ia le cost pe$ unit. #. " 1>L inc$ease in fi)e' cost pe$ unit. 2:.If +a$ia le cost as a pe$centage of sales inc$eases* the
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Cost-Volume-Profit Analysis

". cont$i ution ma$gin pe$centage inc$eases. %. selling p$ice inc$eases. C. $ea/,e+en point in pesos inc$eases. #. fi)e' costs 'ec$ease.

". cont$i ution $atio. %. cont$i ution ma$gin pe$ unit. %o a'illa

C. total +a$ia le cost. #. total fi)e' cost.

%o a'illa

2=.Int$o'ucing income ta)es into cost,+olume,p$ofit analysis ". $aises the $ea/,e+en point. %. lowe$s the $ea/,e+en point. C. inc$eases unit sales nee'e' to ea$n a pa$ticula$ ta$get p$ofit. #. 'ec$eases the cont$i ution ma$gin pe$centage. %o a'illa 3>.If a company is ea$ning a p$ofit* its fi)e' costs ". a$e less than total cont$i ution ma$gin. %. a$e e<ual to total cont$i ution ma$gin. C. a$e g$eate$ than total +a$ia le costs. #. can e g$eate$ than o$ less than total cont$i ution ma$gin. %o a'illa 31." cost,+olume,p$ofit g$aph $eflects $elationships ". that a$e e)pecte' to hol' o+e$ the $ele+ant $ange. %. of $esults o+e$ the past few yea$s. C. that the company@s manage$s woul' li/e to ha+e happen. #. li/ely to p$e+ail fo$ the in'ust$y. %o a'illa 3(.The following 'iag$am manufactu$ing company. is a cost,+olume,p$ofit
E P # " O % C

3-.Select the answe$ that est 'esc$i es the la ele' item on the 'iag$am. ". "$ea C#E $ep$esents the a$ea of net loss. %. 8ine "C g$aphs total fi)e' costs. C. Point # $ep$esents the point at which the cont$i ution ma$gin pe$ unit inc$eases. #. 8ine "C g$aphs total costs. %o a'illa 3..In a cost,+olume,p$ofit g$aph ". the total $e+enue line c$osses the ho$i&ontal a)is at the $ea/e+en point. %o a'illa %. eyon' the $ea/e+en sales +olume* p$ofits a$e ma)imi&e' at the sales +olume whe$e total $e+enues e<ual total costs. C. an inc$ease in unit +a$ia le costs woul' 'ec$ease the slope of the total cost line. #. an inc$ease in the unit selling p$ice woul' shift the $ea/e+en point in units to the left. 32."n ". %. C. #. inc$ease in the income ta) $ate $aises the $ea/,e+en point. lowe$s the $ea/,e+en point. 'ec$eases sales $e<ui$e' to ea$n a pa$ticula$ afte$,ta) p$ofit. inc$eases sales $e<ui$e' to ea$n a pa$ticula$ afte$,ta) p$ofit. %o a'illa

g$aph

fo$

33.If the sales mi) shifts towa$' highe$ cont$i ution ma$gin p$o'ucts* the $ea/,e+en point ". 'ec$eases. %. inc$eases. C. $emains constant. #. it is impossi le to tell without mo$e info$mation. %o a'illa
Volume

The 'iffe$ence etween line "% an' line "C 6a$ea %"C7 is the
103

34.Ta$get costing is ". a su stitute fo$ CVP analysis. %. use' y companies that cannot classify thei$ costs y eha+io$.

Cost-Volume-Profit Analysis

C. inapp$op$iate if a company has al$ea'y esta lishe' a ta$get p$ofit. #. use' in 'ecisions to offe$ a new p$o'uct o$ ente$ a new ma$/et. %o a'illa 3:.In o$'e$ fo$ the $ea/,e+en computation to e meaningful to management* sales mi) shoul' e compute' using the ". e)pecte' mi) C. most 'esi$a le mi) %. least 'esi$a le mi) #. t$a'itional mi) %o a'illa 3=.5hich of the following is a t$ue statement a out sales mi)! ". P$ofits may 'ecline with an inc$ease in total peso of sales if the sales mi) shifts to sell mo$e of the high cont$i ution ma$gin p$o'uct. %. P$ofits may 'ecline with an inc$ease in total peso of sales if the sales mi) shifts to sell mo$e of the lowe$ cont$i ution ma$gin p$o'uct. C. P$ofits will $emain constant with an inc$ease in total peso of sales if the total sales in units $emains constant. #. P$ofits will $emain constant with a 'ec$ease in total peso of sales if the sales mi) also $emains constant. %o a'illa PROBLEMS: 1 . B$een Co$po$ation e)pects to sell -*>>> plants a month. Its ope$ations manage$ estimate' the following monthly costs: Va$ia le costs P 4*2>> 9i)e' costs 12*>>> 5hat sales p$ice pe$ plant 'oes she nee' to achie+e to egin ma/ing a p$ofit if she sells the estimate' num e$ of plants pe$ month! ". P4.21 C. P2.>> %. P4.2> #. P(.2> %o a'illa
(

". P(2*>>> %. P12*>>>


-

C. P1>*>>> #. P1(*>>>

%o a'illa

. The Re' 8ions %$othe$hoo' is planning its annual Ri+e$ oat E)t$a+agan&a. The E)t$a+agan&a committee has assem le' the following e)pecte' costs fo$ the e+ent: #inne$ pe$ pe$son P 4> P$og$ams an' sou+eni$ pe$ pe$son -> O$chest$a 12*>>> Tic/ets an' a'+e$tising 4*>>> Ri+e$ oat $ental .:*>>> 9loo$ show an' st$olling ente$tainment 1>*>>> The committee mem e$s woul' li/e to cha$ge P->> pe$ pe$son fo$ the e+eningAs acti+ities. "ssume that only (2> pe$sons a$e e)pecte' to atten' the e)t$a+agan&a* what tic/et p$ice must e cha$ge' to $ea/e+en! ". P.(> C. P-(> %. P-2> #. P-=> %o a'illa . Consi'e$ the following: 9i)e' e)penses P4:*>>> ?nit cont$i ution ma$gin 1( Ta$get net p$ofit .(*>>> How many unit sales a$e $e<ui$e' to ea$n the ta$get net p$ofit! ". 12*>>> units C. 1(*:>> units %. 1>*>>> units #. (>*>>> units %o a'illa . Ca$$i ean Company p$o'uces a p$o'uct that sells fo$ P3>. The +a$ia le manufactu$ing costs a$e P-> pe$ unit. The fi)e' manufactu$ing cost is P1> pe$ unit ase' on the cu$$ent le+el of acti+ity* an' fi)e' selling an' a'minist$ati+e costs a$e P: pe$ unit. " selling commission of 1>L of the selling p$ice is pai' on each unit sol'. The cont$i ution ma$gin pe$ unit is: ". P(.. C. P->. %. P-3. #. P2.. %o a'illa

. "n o$gani&ation@s $ea/,e+en point is .*>>> units at a sales p$ice of P2> pe$ unit* +a$ia le cost of P-> pe$ unit* an' total fi)e' costs of P:>*>>>. If the company sells 2>> a''itional units* y how much will its p$ofit inc$ease!
104

Cost-Volume-Profit Analysis
3

. Seal Ka$' O$naments sells lawn o$naments fo$ P12 each. Seal@s cont$i ution ma$gin $atio is .>L. 9i)e' costs a$e P-(*>>>. Shoul' fi)e' costs inc$ease ->L* how many a''itional units will Seal ha+e to p$o'uce an' sell in o$'e$ to gene$ate the same net p$ofit as un'e$ the cu$$ent con'itions! ". 1*3>>. C. 3*=--. %. 2*---. #. 1*>34. %o a'illa . "t a $ea/,e+en point of 2*>>> units sol'* +a$ia le e)penses we$e P1>*>>> an' fi)e' e)penses we$e P2>*>>>. The p$ofit f$om the 2*>>1st unit woul' e! ". P1> C. P12 %. P2> #. P1( %o a'illa . Balactica Company has fi)e' costs of P1>>*>>> an' $ea/e+en sales of P:>>*>>>. %ase' on this $elationship* what is its p$o0ecte' p$ofit at P1*(>>*>>> sales! ". P 2>*>>> C. P12>*>>> %. P(>>*>>> #. P.>>*>>> %o a'illa . The sales p$ice pe$ unit will inc$ease f$om P-( to P.>. The +a$ia le cost pe$ unit will $emain at P(.* an' the fi)e' costs will $emain unchange' at P.>>*>>>. How many fewe$ units must e sol' to $ea/,e+en at the new sales p$ice of P.> pe$ unit! ". (2*>>> C. 1>*>>> %. (*2>> #. 1(*2>> %o a'illa . The Ha$' Company sells wi'gets. The company $ea/s e+en at an annual sales +olume of :>*>>> units. "t an annual sales +olume of 1>>*>>> units the company $epo$ts a p$ofit of P((>*>>>. The annual fi)e' costs fo$ the Ha$' Company a$e: ". P ::>*>>> C. P :>>*>>> %. P1*1>>*>>> #. P1*>>>*>>> %o a'illa . "l at$oss Company has fi)e' costs of P=>*->>. "t a sales +olume of P-3>*>>>* $etu$n on sales is 1>LM at a P3>>*>>> +olume* $etu$n on sales is (>L. 5hat is the $ea/,e+en +olume! ". P((2*>>> C. P->1*>>>
105

%. P(2:*>>>
1(

#. P(.>*>>>

%o a'illa

. "n entity has fi)e' costs of P(>>*>>> an' +a$ia le costs pe$ unit of P3. It plans on selling .>*>>> units in the coming yea$. If the entity pays income ta)es on its income at a $ate of .>L* what sales p$ice must the fi$m use to o tain an afte$,ta) p$ofit of P(.*>>> on the .>*>>> units! ". P11.3> C. P1(.>> %. P11.-3 #. P1(.2> %o a'illa . The following is the 8u) Co$po$ation@s cont$i ution fo$mat income statement fo$ last month: Sales P(*>>>*>>> 8ess +a$ia le e)penses 1*.>>*>>> Cont$i ution ma$gin 3>>*>>> 8ess fi)e' e)penses -3>*>>> Jet income P (.>*>>> The company has no eginning o$ en'ing in+ento$ies. " total of .>*>>> units we$e p$o'uce' an' sol' last month. 5hat is the company@s 'eg$ee of ope$ating le+e$age! ". >.1( C. (.2> %. >..> #. -.-> %o a'illa . #elma$ Company has the oppo$tunity to inc$ease its annual sales y P1(2*>>> y selling to a new* $is/ie$ g$oup of custome$s. The uncollecti le e)pense is e)pecte' to e 1>L* an' collection costs will e 1>L. The companyAs manufactu$ing an' selling e)penses a$e 4>L of sales* an' its effecti+e ta) $ate is .>L. If #elma$ we$e to accept this oppo$tunity* the companyAs afte$ ta) p$ofits woul' inc$ease y ". P 4*2>> C. P1(*2>> %. P 3*>>> #. P12*>>> %o a'illa . In (>>3 8ucia Company ha' a net loss of P:*>>>. The company sells one p$o'uct with a selling p$ice of P:> an' a +a$ia le cost pe$ unit of P3>. In (>>4* the company woul' li/e to ea$n a efo$e,ta) p$ofit of P.>*>>>. How many a''itional units must the company

1-

1.

1>

12

11

Cost-Volume-Profit Analysis

sell in (>>4 than it sol' in (>>3! "ssume that the ta) $ate is .> pe$cent. ". 1*3>> C. (*>>> %. (*.>> #. 2*.>> %o a'illa
13

(>

. %ulusan Company has sales of P.>>*>>> with +a$ia le costs of P->>*>>>* fi)e' costs of P1(>*>>>* an' an ope$ating loss of P(>*>>>. How much inc$ease in sales woul' %ulusan nee' to ma/e in o$'e$ to achie+e a ta$get ope$ating income of 1>L of sales! ". P.>>*>>> C. P2>>*>>> %. P.3(*>>> #. P:>>*>>> %o a'illa . The following 'ata apply to #i+a Co$po$ation fo$ the yea$ (>>3: Total +a$ia le cost pe$ unit P-.2> Cont$i ution ma$ginDsales ->L %$ea/e+en sales 6p$esent +olume7 P1*>>>*>>> #i+a wants to sell an a''itional 2>*>>> units at the same selling p$ice an' cont$i ution ma$gin pe$ unit. %y how much can fi)e' costs inc$ease to gene$ate a g$oss ma$gin e<ual to 1>L of the sales +alue of the a''itional 2>*>>> units to e sol'! ". P 2>*>>> C. P 34*2>> %. P 24*2>> #. P1(2*>>> %o a'illa . ;a$sman Company ha' a ma$gin of safety $atio of (>L* +a$ia le costs of 3>L of sales* fi)e' costs of P(.>*>>>* a $ea/,e+en point of P3>>*>>>* an' an ope$ating income of P3>*>>> fo$ the cu$$ent yea$. 5hat a$e the cu$$ent yea$@s sales! ". P 2>>*>>> C. P 42>*>>> %. P 3>>*>>> #. P =>>*>>> %o a'illa . Regal* Inc. sells P$o'uct ; fo$ P2 pe$ unit. The fi)e' costs a$e P(1>*>>> an' the +a$ia le costs a$e 3>L of the selling p$ice. 5hat woul' e the amount of sales if Regal is to $eali&e a p$ofit of 1>L of sales! ". P4>>*>>> C. P2(2*>>> %. P.4(*2>> #. P.(>*>>> %o a'illa

. The following economic 'ata we$e p$o+i'e' y the co$po$ate planning staff of Hea+en* Inc.: Sales +olume ->*>>> units Sales p$ice pe$ unit P-> ?nit +a$ia le costs: Va$ia le manufactu$ing P1Othe$ +a$ia le costs : ?nit +a$ia le costs P(1 ?nit cont$i ution ma$gin P : 9i)e' costs: ;anufactu$ing P12>*>>> Othe$ fi)e' costs P 2>*>>> Total fi)e' costs P(>>*>>> The management is consi'e$ing installing a new* automate' manufactu$ing p$ocess that will inc$ease fi)e' costs y P2>*>>> an' $e'uce +a$ia le manufactu$ing cost y P- pe$ unit. The management set a ta$get a p$ofit of P4>*>>> efo$e an' afte$ the ac<uisition of the automate' machine. "fte$ installation of the automate' machine* what will e the change in the units $e<ui$e' to achie+e the ta$get p$ofit! ". 3*334 unit inc$ease C. -*--- unit 'ec$ease %. 2*334 unit 'ec$ease #. .*--- unit 'ec$ease %o a'illa

14

1:

(1

1=

. In planning its ope$ations fo$ ne)t yea$ ase' on a sales fo$ecast of P3*>>>*>>>* He$$an* Inc. p$epa$e' the following estimate' costs an' e)penses: Va$ia le 9i)e' #i$ect mate$ials P1*3>>*>>> #i$ect la o$ 1*.>>*>>> 9acto$y o+e$hea' 3>>*>>> P =>>*>>> Selling e)penses (.>*>>> -3>*>>> "'minist$ati+e 3>*>>> 1.>*>>> e)penses P-*=>>*>>> P1*.>>*>>> 5hat woul' e the amount of peso sales at the $ea/e+en point! ". P(*(2>*>>>. C. P.*>>>*>>>.

106

Cost-Volume-Profit Analysis

%. P-*2>>*>>>.
((

#. P2*->>*>>>.

%o a'illa

. The E)p$essi+e Company cu$$ently has fi)e' cost of P44>*2>>. This cost is e)pecte' to inc$ease y P1>-*2>> if the company e)pan's its p$o'uction facilities. Cu$$ently* it sells its p$o'uct fo$ P.4. The p$o'uct has a +a$ia le cost pe$ unit of P(.. How many mo$e units must the company sell to $ea/ e+en* at the cu$$ent sales p$ice pe$ unit* than it 'i' to $ea/ e+en p$io$ to the inc$ease in fi)e' cost! ". -*2>> C. .*2>> %. .*>>> #. 3*>>> %o a'illa . The Tan/e$ Company estimate' the following 'ata fo$ the coming yea$: 9i)e' manufactu$ing costs P232*>>> Va$ia le p$o'uction costs pe$ peso of sales ;ate$ials P >.1(2 #i$ect la o$ >.12> Va$ia le o+e$hea' >.>42 Va$ia le selling costs pe$ peso of sales >.12> Tan/e$ estimates its sales fo$ the coming yea$ to e P(*>>>*>>>. The e)pecte' cost of goo's sol' fo$ the coming yea$ is ". P1*(32*>>> C. P1*232*>>> %. P1*112*>>> #. P 4>>*>>>
(3

"lpineAs management is unhappy with the $esults an' plans to ma/e some changes fo$ ne)t yea$. If management implements a new ma$/eting p$og$am* fi)e' costs a$e e)pecte' to inc$ease y P1=*(>> an' +a$ia le costs to inc$ease y P1 pe$ unit. ?nit sales a$e e)pecte' to inc$ease y 12 pe$cent. 5hat is the effect on income if the fo$egoing changes a$e implemente'! ". 'ec$ease of P(1*(>> C. inc$ease of P 1*:>> %. inc$ease of P1-*:>> #. inc$ease of P1.*:>> %o a'illa . ;e$ca'o* Inc. ha' the following economic 'ata fo$ (>>4: Jet sales P.>>*>>> Cont$i ution ma$gin 13>*>>> ;a$gin of safety .>*>>> 5hat is ;e$ca'oAs $ea/e+en point in (>>4! ". P-3>*>>> C. P-(>*>>> %. P(::*>>> #. P :>*>>> %o a'illa . ;a$<ue& Co. manufactu$es a single p$o'uct. 9o$ (>>3* the company ha' sales of P=>*>>>* +a$ia le costs of P2>*>>>* an' fi)e' costs of P->*>>>. ;a$<ue& e)pects its cost st$uctu$e an' sales p$ice pe$ unit to $emain the same in (>>4M howe+e$ total sales a$e e)pecte' to 0ump y (>L. If the (>>4 p$o0ections a$e $eali&e'* net income in (>>4 shoul' e)cee' net income in (>>3 y ". 1>>L C. (>L %. :>L #. 2>L %o a'illa . %elow is the income statement fo$ Ha$po Co. fo$ (>>3: Sales P.>>*>>> Va$ia le costs 6 1(2*>>>7 Cont$i ution ma$gin P(42*>>> 9i)e' costs 6 (>>*>>>7 P$ofit efo$e ta) P 42*>>> "ssuming that the fi)e' costs a$e e)pecte' to $emain at P(>>*>>> fo$ (>>4* an' the sales p$ice pe$ unit an' +a$ia le cost pe$ unit a$e also e)pecte' to $emain constant* how much p$ofit efo$e ta) will

(-

(4

%o a'illa

(.

. "t a sales +olume le+el of (*(2> units* %alua$te CompanyAs cont$i ution ma$gin is one an' one,half of the fi)e' costs of P-3*>>>. Cont$i ution ma$gin is ->L How much peso sales shoul' the %alua$te Company sell to ea$n 1> pe$cent of sales! ". P(4>*>>> C. P-3>*>>> %. P1:>*>>> #. P2.>*>>> %o a'illa . The "lpine CompanyAs yea$,en' income statement is as follows: Sales 6(>*>>> units7 P-3>*>>> Va$ia le costs ((>*>>> Cont$i ution ma$gin P1.>*>>> 9i)e' costs 1>2*>>> Jet income P -2*>>>
107

(:

(2

Cost-Volume-Profit Analysis

e p$o'uce' if the company anticipates (>>4 sales $ising to 1->L of the (>>3 le+el! ". P =4*2>> C. P1=2*>>> %. P124*2>> #. P1:>*>>> %o a'illa
(=

. "lmos Co$po$ation p$o'uces a p$o'uct that sells fo$ P1> pe$ unit. The +a$ia le cost pe$ unit is P3 an' total fi)e' costs a$e P1(*>>>. "t this selling p$ice* the company ea$ns a p$ofit e<ual to 1>L of total peso sales. %y $e'ucing its selling p$ice to P= pe$ unit* the manufactu$e$ can inc$ease its unit sales +olume y (2L. "ssume that the$e a$e no ta)es an' that total fi)e' costs an' +a$ia le cost pe$ unit $emain unchange'. If the selling p$ice we$e $e'uce' to P= pe$ unit* the companyAs p$ofit woul' ha+e een ". P-*>>>. C. P2*>>>. %. P.*>>>. #. P3*>>>. %o a'illa . Info$mation conce$ning the (>>4 financial p$o0ections of the Sil+e$ Company is as follows: Jet sales of P-*>>>*>>>. 9i)e' costs of P:>>*>>>. P>.32 inc$ease in cost of sales fo$ each peso inc$ease in net sales. 5hat is the p$o0ecte' cost of sales fo$ (>>4! ". P =2>*>>> C. P1*>2>*>>> %. P(*42>*>>> #. P1*:2>*>>> %o a'illa . The Chil'less Company sells wi'gets. The company $ea/s e+en at an annual sales +olume of 42*>>> units. "ctual annual sales +olume was $epo$te' a p$ofit of P(>>*>>>. Chil'less Company a$e ". P:>>*>>> %. P3>>*>>> 1>>*>>> units* an' the company The annual fi)e' costs fo$ the C. P(>>*>>> #. P12>*>>> %o a'illa

9acto$y o+e$hea'* all fi)e' (=*>>> Selling e)pense 6-2L +a$ia le* 32L fi)e'7 (.*>>> 5hat unit p$ice woul' the company ha+e to cha$ge to ma/e P(*(2> on a sale of 1*2>> a''itional units that woul' e shippe' out of the no$mal ma$/et a$ea! ". P2.1> C. P..1> %. P2.3> #. P2.>> %o a'illa
--

. The ;an'a$in Company@s p$o'uct mi) inclu'es P4(>*>>> in sale of N an' P3.>*>>> in sale of K. N@s cont$i ution ma$gin is 3>L an' K@s is .>L of sales. 9i)e' costs amount to P2>2*::1. K@s sale at $ea/e+en point shoul' amount to ". P3.>*>>> C. P2(=*.=> %. P4(>*>>> #. P.4>*2=> %o a'illa . 8e+iAs Company has $e+enues of P2>>*>>>* +a$ia le costs of P->>*>>>* an' p$eta) p$ofit of P12>*>>>. Ha' the company inc$ease' the sales p$ice pe$ unit y 1>L* $e'uce' fi)e' costs y (>L* an' left +a$ia le cost pe$ unit unchange'* what woul' the new $ea/e+en point in pesos ha+e een! ". P ::*>>> C. P1>>*>>> %. P :>*>>> #. P1(2*>>> %o a'illa . " fi$m has fi)e' costs of P(>>*>>> an' +a$ia le cost pe$ unit of P3. It plans to sell .>*>>> units in the coming yea$. If the fi$m pays income ta)es on its income at a $ate of .>L* what sales p$ice must the fi$m use to o tain an afte$,ta) p$ofit of P(.*>>>! ". P11.3> C. P11.-3 %. P1(.>> #. P1(.2> %o a'illa . %elow is the income statement fo$ %len'e$ Co. fo$ (>>4: Sales P.>>*>>> Va$ia le costs 61(2*>>>7 Cont$i ution ma$gin P(42*>>> 9i)e' costs 6 (>>*>>>7 P$ofit efo$e ta) P 42*>>>

-.

->

-2

-1

-3

-(

. The costs to p$o'uce (.*>>> units at 4>L capacity a$e: #i$ect mate$ials P-3*>>> #i$ect la o$ 2.*>>>
108

Cost-Volume-Profit Analysis

5hat is the 'eg$ee of ope$ating le+e$age fo$ %len'e$ Company fo$ (>>4! ". -.34 C. 2.-%. 1..2 #. 1.34 %o a'illa
-4

". P->>*>>> %. P.>>*>>>


.1

C. P2>>*>>> #. P:>>*>>>

%o a'illa

. 9oo' 9acto$y* Inc. sells loose iscuits fo$ P2 pe$ unit. The fi)e' costs a$e P(1>*>>> an' the +a$ia le costs a$e .2L of the selling p$ice. 5hat woul' e the amount of sales if 9oo' 9acto$y* Inc. we$e to $eali&e a p$ofit of 12L of sales! ". P4>>*>>> C. P2(2*>>> %. P.4(*2>> #. P.(>*>>> %o a'illa . The Opposition Sales Co$po$ation is e)pecting an inc$ease of fi)e' costs y P4:*42> upon mo+ing thei$ place of usiness to the 'owntown a$ea. The company anticipates that the selling p$ice pe$ unit an' the +a$ia le e)penses will not change. "t p$esent* the sales +olume necessa$y to $ea/e+en is P42>*>>> ut with the e)pecte' inc$ease in fi)e' costs* the sales +olume necessa$y to $ea/e+en woul' go up to P=42*>>>. %ase' on these p$o0ections* what we$e the total fi)e' costs efo$e the inc$ease of P4:*42>! ". P-.1*(2> C. P1:-*42> %. P(3(*2>> #. P->>*>>> %o a'illa

-:

. %al oa* Inc. ha' the following economic info$mation fo$ the yea$ (>>3: Sales 62>*>>> units O P(>7 P1*>>>*>>> Va$ia le manufactu$ing costs .>>*>>> 9i)e' costs (2>*>>> Income ta) $ate .> pe$cent %al oa* Inc. u'gets its (>>4 sales at 3>*>>> units o$ P1*(>>*>>>. The company anticipates an inc$ease' competitionM hence* an a''itional P42*>>> a'+e$tising costs is u'gete' in o$'e$ to maintain its sales ta$get fo$ (>>4. 5hat is the amount of peso sales nee'e' fo$ (>>4 in o$'e$ to e<ual the afte$,ta) income in (>>3! ". P1*1(2*>>> C. P1*-(2*>>> %. P1*1:4*2>> #. P1*-:4*2>> %o a'illa

.(

. ;au$esmo Company 'e+elope' the following info$mation fo$ the yea$ en'e' #ecem e$ -1* (>>4: P$o'uct " P$o'uct % Total ?nits Sol' .*>>> 3*>>> 1>*>>> Sales P1(*>>> P(4*>>> P-=*>>> Va$ia le costs 3*>>> 12*>>> (1*>>> Cont$i ution ma$gin P 3*>>> P1(*>>> 1:*>>> 9i)e' costs 1(*3>> Jet income P 2*.>> If the sales mi) changes to 2*>>> units of P$o'uct " an' 2*>>> units of P$o'uct %* the effect on the companyAs $ea/,e+en point woul' e ". to inc$ease it y (>> units. C. to inc$ease it y 1*(>> units. %. to 'ec$ease it y (>> units. #. no change. %o a'illa

-=

. "t .>*>>> units of sales* %ene+olent Co$po$ation ha' an ope$ating loss of P-.>> pe$ unit. 5hen sales we$e 4>*>>> units* the company ha' a p$ofit of P1.(> pe$ unit. The num e$ of units to $ea/e+en is ". -2*>>> C. .2*>>> %. 2(*2>> #. 24*3.4 %o a'illa . The following info$mation pe$tains to Hennin Co$po$ation fo$ the yea$ en'ing #ecem e$ -1* (>>3: %u'gete' sales P1*>>>*>>> %$ea/e+en sales 4>>*>>> %u'gete' cont$i ution ma$gin 3>>*>>> Cashflow $ea/e+en (>>*>>> The ma$gin of safety fo$ the Hennin Co$po$ation is:
109

.>

.-

. ;eno$ Company sells two p$o'ucts with the following pe$ unit 'ata: Stan'a$' #elu)e Selling p$iceDunit P42 P1(>

Cost-Volume-Profit Analysis

Va$ia le costsDunit .2 3> Cont$i ution ma$ginDunit P-> P 3> Sales mi) ( If fi)e' costs a$e P3->*>>>* the num e$ of stan'a$' an' 'elu)e units that ;eno$ must sell to $ea/ e+en is %o a'illa ". 1*:>> stan'a$' an' 1*(>> 'elu)e. C. =*>>> stan'a$' an' 3*>>> 'elu)e. %. -*3>> stan'a$' an' (*.>> 'elu)e. #. (1*>>> stan'a$' an' 1.*>>> 'elu)e.
..

P$o'uct C: unit.

3 units O P1(.(2 sales p$iceM P1>.-2 +a$ia le cost pe$

#ial Ente$p$ise@s fi)e' costs a$e P42*=2>. 5hat a$e the composite $ea/,e+en point! ". =:*>>> C. -*2>> %. (*>>> #. .*>>>
.3

%o a'illa

. The following a$e p$o0ections a out the two p$o'ucts of #o$ine Company* au les an' t$in/ets* fo$ the coming yea$: %au les T$in/ets ?nits "mou ?nits "mou Total nt nt Sales 1>*>> P1>*> 4*2>> P1>*> P(>*> > >> >> >> Costs 9i)e' P P P (*>>> 2*3>> 4*3>> Va$ia le 3*>> -*>> =*> > > >> P P P13*3 :*>>> :*3>> >> Income efo$e P P P ta)es (*>>> 1*.>> -*.>> "ssuming that the custome$s pu$chase composite units of fou$ au les an' th$ee t$in/ets* the $ea/e+en output fo$ the two p$o'ucts woul' e %o a'illa ". %. C. #. %au les 3*=>= 3*=>= 2*>>> 2*>>> T$in/ets 3*=>= 2*1:( :*>>> 3*>>> . The sales mi) fo$ #ial Ente$p$ise is as follows: P$o'uct ": 1( units O P2.(2 sales p$iceM P..:2 +a$ia le cost pe$ unit. P$o'uct %: 1> units O P4.2> sales p$iceM P3.=2 +a$ia le cost pe$ unit.
110

. "le)an'$a Co. p$o+i'es two p$o'ucts* Vel+et an' Cotton. Vel+et accounts fo$ 3> pe$cent of total sales. The +a$ia le costs as a pe$centage of selling p$ices a$e 3>L fo$ Vel+et an' :2L fo$ Cotton. Total fi)e' costs a$e P((2*>>>. If fi)e' costs will inc$ease y -> pe$cent* what amount of peso sales woul' e necessa$y to gene$ate an ope$ating p$ofit of P.:*>>>! ". P1*-2>*>>> C. P1*1-2*>>> %. P .:3*.(2 #. P =1>*>>> %o a'illa

.4

. 8ast month* Pamo$a Company ha' an income of P>.42 pe$ unit with sales of 3>*>>> units. #u$ing the cu$$ent month when the unit sales a$e e)pecte' to e only .2*>>>* the$e is a loss of P1.(2 pe$ unit. %oth the +a$ia le cost pe$ unit an' total fi)e' costs $emain constant. The fi)e' costs amounte' to ". P :>*>>> %. P(.4*2>> C. P-3>*>>> #. P(1>*>>>

%o a'illa

.:

.2

. %ytes Company is a $etaile$ of +i'eo 'is/s. The p$o0ecte' afte$,ta) income fo$ the cu$$ent yea$ is P1(>*>>> ase' on a sales +olume of (>>*>>> +i'eo 'is/s. %ytes has een selling the 'is/s at P13 each. The +a$ia le costs consist of the P1> pe$ unit pu$chase p$ice of the 'is/s an' a han'ling cost of P( pe$ 'is/. %ytesA annual fi)e' costs a$e P3>>*>>>* an' %ytes is su 0ect to a .>L income ta) $ate. ;anagement is planning fo$ the coming yea$ when it e)pects that the unit pu$chase p$ice of the +i'eo 'is/s will inc$ease ->L.

Cost-Volume-Profit Analysis

%ytes CompanyAs $ea/e+en point fo$ the cu$$ent yea$ in num e$ of +i'eo 'is/s is ". 1>>*>>> units C. 2>*>>> units %. 12>*>>> units #. 3>*>>> units %o a'illa
.=

Bla$eless Company estimates that its 'i$ect la o$ costs will inc$ease : pe$cent ne)t yea$. How many units will Bla$eless ha+e to sell ne)t yea$ to $each $ea/e+en! ". =4*2>> units C. 1>1*4.> units %. :-*24( units #. :3*(2> units %o a'illa
2(

. "lon&o Co$po$ation ha' sales of P1(>*>>> fo$ the month of ;ay. It has a ma$gin of safety $atio of (2 pe$cent* an' an afte$,ta) $etu$n on sales of 3 pe$cent. The company assumes its sales eing constant e+e$y month. If the ta) $ate is .> pe$cent* how much is the annual fi)e' cost! ". P -3*>>> C. P =>*>>> %. P.-(*>>> #. P-3>*>>> %o a'illa . Cultu$e' Company is a manufactu$e$ of its only one p$o'uct line. It ha' sales of P.>>*>>> fo$ (>>4 with a cont$i ution ma$gin $atio of (> pe$cent. Its ma$gin of safety $atio was 1> pe$cent. 5hat a$e the companyAs fi)e' costs! ". P 4(*>>> C. P :>*>>> %. P(::*>>> #. P-(>*>>>

2>

%o a'illa

21

. Santos Company is planning its a'+e$tising campaign fo$ ne)t yea$ an' has p$epa$e' the following u'get 'ata ase' on a &e$o a'+e$tising e)pen'itu$e: Jo$mal plant capacity (>>*>>> units Sales 12>*>>> units Selling p$ice P(2 pe$ unit Va$ia le manufactu$ing costs P12 pe$ unit 9i)e' manufactu$ing costs P:>>*>>> 9i)e' selling costs P4>>*>>> "n a'+e$tising agency claims that an agg$essi+e a'+e$tising campaign woul' ena le Santos to inc$ease its unit sales y (>L. 5hat is the ma)imum amount that Santos Company can pay fo$ a'+e$tising an' ha+e an ope$ating p$ofit of P(>>*>>> ne)t yea$! ". P1>>*>>> C. P->>*>>> %. P(>>*>>> #. P22>*>>> %o a'illa . "'+entu$ous Co. is consi'e$ing '$opping a p$o'uct. Va$ia le costs a$e P3>.>> pe$ unit. 9i)e' o+e$hea' costs* e)clusi+e of 'ep$eciation* ha+e een allocate' at a $ate of P-.2> pe$ unit an' will continue whethe$ o$ not p$o'uction ceases. #ep$eciation on the e<uipment is P3>*>>> a yea$. If p$o'uction is stoppe'* the e<uipment can e sol' fo$ P(4>*>>>* if p$o'uction continues* howe+e$* it will e useless at the en' of 1 yea$ an' will ha+e no sal+age +alue. The selling p$ice is P1>> a unit. Igno$ing ta)es* the minimum num e$ of units to e sol' in the cu$$ent yea$ to $ea/ e+en on a cash flow asis is ". 1*2>> units. C. :*(2> units. %. 3*42> units. #. =*42> units %o a'illa . Pansipit Company ha' a (2 pe$cent ma$gin of safety. Its afte$,ta) $etu$n on sales is 3 pe$cent. The companyAs income is su 0ect to ta)

. Bla$eless Company manufactu$es an' sells sunglasses. The p$ice an' cost 'ata a$e as follows: Selling p$ice pe$ pai$ of Sunglasses P(2.>> Va$ia le costs pe$ pai$ of sunglasses: Raw mate$ials P11.>> #i$ect la o$ 2.>> ;anufactu$ing o+e$hea' (.2> Selling e)penses 1.-> Total +a$ia le costs pe$ unit P1=.:> "nnual fi)e' costs: ;anufactu$ing o+e$hea' P1=(*>>> Selling an' a'minist$ati+e (43*>>> Total fi)e' costs P.3:*>>> 9o$ecaste' annual sales +olume 61(>*>>> pai$s7P-*>>>*>>> Income ta) $ate .>L

2-

2.

111

Cost-Volume-Profit Analysis

$ate of .> pe$cent. If fi)e' costs amount to P-(>*>>>* how much peso sales 'i' Pansipit ma/e fo$ the yea$! ". P1*>33*334 C. P1*(:>*>>> %. P1*>>>*>>> #. P :>>*>>> %o a'illa
22

24

. The management of ;esa Company has pe$fo$me' cost stu'ies an' has p$o0ecte' the following annual costs ase' on 3>*>>> units of p$o'uction an' sales: Total "nnual Pe$cent of Va$ia le Po$tion of Total Costs "nnual Costs #i$ect P3>>*>>> 1>> mate$ial #i$ect 4(>*>>> :> la o$ ;fg. .>>*>>> 2> O+e$hea' Selling 1=(*2>> (2 costs 5hat selling p$ice will yiel' a 12 pe$cent p$ofit f$om sales of 3>*>>> units! ". P.1.34 C. P(4.-> %. P-4.2> #. P-2..( %o a'illa . The following 'ata $elate to Ha$+este$ Company which sells a single p$o'uct: ?nit selling p$ice P :>.>> Pu$chase cost pe$ unit 22.>> Sales commission 12 L of selling p$ice 1(.>> ;onthly fi)e' costs P1:>*>>> The fi$mAs two salespe$sons woul' li/e to change thei$ compensation f$om a 12 pe$cent commission to a 4.2 pe$cent commission plus P12*>>> each pe$ month in fi)e' sala$y. Cu$$ently* they only $ecei+e commissions as thei$ compensation. "t what sales +olume in units woul' the two cost st$uctu$es e in'iffe$ent! ". (*2>> units C. .*>>> units %. -*>>> units #. 2*>>> units %o a'illa
112

. ;ulti9$ame Company has the following $e+enue an' cost u'gets fo$ the two p$o'ucts it sells: Plastic 9$ames Blass 9$ames Sales p$ice P1>.>> P12.>> #i$ect mate$ials 6 (.>>7 6 -.>>7 #i$ect la o$ 6 -.>>7 6 2.>>7 9i)e' o+e$hea' 6 -.>>7 6 (.427 Jet income pe$ P (.>> P ..(2 unit %u'gete' unit 1>>*>>> ->>*>>> sales The u'gete' unit sales e<ual the cu$$ent unit 'eman'* an' total fi)e' o+e$hea' fo$ the yea$ is u'gete' at P=42*>>>. "ssume that the company plans to maintain the same p$opo$tional mi). The total num e$ of units that ;ulti9$ame nee's to p$o'uce an' sell in o$'e$ to $ea/ e+en is ". 12>*>>> units C. 12-*=.4 units %. 1>>*>>> units #. ->>*>>> units %o a'illa

2:

23

. #u$ing (>>3* St. Paul 8a supplie' hospitals with a comp$ehensi+e 'iagnostic /it fo$ P1(>. "t a +olume of :>*>>> /its* St. Paul ha' fi)e' costs of P1*>>>*>>> an' ope$ating income efo$e income ta)es of P(>>*>>>. %ecause of an a'+e$se legal 'ecision* St. PaulAs (>>4 lia ility insu$ance inc$ease' y P1*(>>*>>> o+e$ (>>3. "ssuming the +olume an' othe$ costs a$e unchange'* what shoul' the (>>4 p$ice e if St. Paul is to ma/e the same P(>>*>>> ope$ating income efo$e income ta)es! ". P1(> C. P12> %. P1-2 #. P(.> %o a'illa . The following 'ata $elate to He$ e$t Company which sells a single p$o'uct: ?nit selling p$ice P (>.>> Pu$chase cost pe$ unit 11.>> Sales commission* 1>L of selling p$ice (.>> ;onthly fi)e' costs P:>*>>>

2=

Cost-Volume-Profit Analysis

The fi$mAs salespe$sons woul' li/e to change thei$ compensation f$om a 1> pe$cent commission to a 2 pe$cent commission plus P(>*>>> pe$ month in sala$y. Cu$$ently* they only $ecei+e commissions as thei$ compensation. The change in compensation plan shoul' change the monthly $ea/e+en point y ". 1*>41 Inc$ease C. 1*2-: Inc$ease %. 1*>41 #ec$ease #. 1*2-: #ec$ease %o a'illa
3>

Costs: "nnual machine P3>*>>>.>> P:(*2>>.>> $ental Popco$n cost pe$ o) -.=> -.=> Cost of each o) >.:> >.:> Othe$ +a$ia le cost pe$ o) 3.3> ..(> The le+el of output in o)es at which the Economy an' the Regula$ woul' ea$n the same p$ofit 6loss7 is ". (>*>>> o)es C. 12*>>> o)es %. =*-42 o)es #. 1(*2>> o)es %o a'illa
3-

. The manage$ of Jaughty 9oo' Company $e+iewe' the following 'ata: 9$uits ;eat Canne' P$o'ucts Cont$i ution ma$gin .>L 2>L .>L $atio Sales mi) in pesos (>L ->L 2>L 9i)e' costs* P1*(=>*>>> pe$ month. The $ea/e+en sales fo$ each month is ". P1*344*>>> C. P.*2>>*>>> %. P-*>>>*>>> #. P3*>>>*>>> %o a'illa . The O$egano 5atch Company manufactu$es a line of la'iesA watches which a$e sol' th$ough 'iscount houses. Each watch is sol' fo$ P1*2>>M the fi)e' costs a$e P-*3>>*>>> fo$ ->*>>> watches o$ lessM +a$ia le cost is P=>> pe$ watch. 5hat is O$eganoAs 'eg$ee of ope$ating le+e$age at sales of 1(*>>> watches! ". (.>N C. >.2N %. 2.>N #. >.(N %o a'illa

31

. The Ha$pe$ Co$po$ation manufactu$es an' sells T,shi$ts imp$inte' with college names an' slogans. 8ast yea$* the shi$ts sol' fo$ P4.2> each* an' the +a$ia le cost to manufactu$e them was P(.(2 pe$ unit. The company nee'e' to sell (>*>>> shi$ts to $ea/ e+en. The net income last yea$ was P2*>.>. Ha$pe$As e)pectations fo$ the coming yea$ inclu'e the following: 1. The sales p$ice of the T,shi$ts will e P= (. Va$ia le cost to manufactu$e will inc$ease y one,thi$' -. 9i)e' costs will inc$ease y 1>L .. The income ta) $ate of .>L will e unchange' The selling p$ice that woul' maintain the same cont$i ution ma$gin $ate as last yea$ is ". P =.>> C. P1>.>> %. P :.(2 #. P =.42 %o a'illa . #u$ing the month of Fune* "$mani Co$po$ation p$o'uce' 1(*>>> units an' sol' them fo$ P(> pe$ unit. Total fi)e' costs fo$ the pe$io' we$e P12.*>>>* an' the ope$ating p$ofit was P(3*>>>. The +a$ia le cost pe$ unit fo$ Fune was ". P..2> C. P3.>> %. P2.>> #. P4.14 %o a'illa . Stone Company plans to sell .>>*>>> laun'$y hange$s. The fi)e' costs a$e P3>>*>>>* an' the +a$ia le cost is 3>L of the selling p$ice. If the company wants to $eali&e a p$ofit of P1(>*>>>* the selling p$ice of each laun'$y hange$ must e ". P(.2> C. P..2> %. P-.42 #. P2.>> %o a'illa

3.

3(

. #u/e* Inc. owns an' ope$ates a chain of foo' cente$s. The management is consi'e$ing installing machines that will ma/e popco$n on the p$emises. These machines a$e a+aila le in two 'iffe$ent si&es with the following 'etails: Economy Regula$ "nnual capacity (>*>>> 2>*>>>
113

32

Cost-Volume-Profit Analysis
33

. The unit cont$i ution ma$gin of P$o'uct " is P(> an' of P$o'uct % is P13. If si) units of P$o'uct " an' eight units of P$o'uct % can e p$o'uce' pe$ machine hou$* the cont$i ution ma$gin of the p$o'ucts pe$ machine hou$ is %o a'illa ". P$o'uct "* P13>M P$o'uct %* P=3 C. P$o'uct "* P-.--M P$o'uct %* P(.>> %. P$o'uct "* P1(>M P$o'uct %* P1(: #. P$o'uct "* P-(.>>M P$o'uct %* P->.>> . The %itte$sweet Company is a wholesale 'ist$i uto$ of can'y. The company se$+ices +a$ious g$oce$y* con+enience* an' '$ug sto$es in ;et$o ;anila. Small* ut stea'y g$owth in sales* has een achie+e' y the company o+e$ the past few yea$s while can'y p$ices ha+e een inc$easing. The company is fo$mulating its plans fo$ the coming fiscal yea$. P$esente' elow a$e the 'ata use' to p$o0ect the cu$$ent yea$As afte$,ta) net income of P11>*.>>. "+e$age selling p$ice P..>> pe$ o) "+e$age +a$ia le costs Cost of can'y P(.>> pe$ o) Selling e)penses >..> pe$ o) Total P(..> pe$ o) "nnual fi)e' costs: Selling P 13=*>>> "'minist$ati+e (:>*>>> Total P ..>*>>> E)pecte' annual sales +olume 6-=>*>>> o)es7P1*23>*>>> The manufactu$e$s of can'ies ha+e announce' that they will inc$ease p$ices of thei$ p$o'ucts an a+e$age of 12L in the coming yea$ 'ue to inc$eases in $aw mate$ial 6suga$* cocoa* peanuts* etc.7 an' la o$ costs. %itte$sweet Company e)pects that all othe$ costs will $emain at the same $ates o$ le+els as the cu$$ent yea$. %itte$sweet is su 0ect to .> pe$cent ta) $ate. If net income afte$ ta)es woul' $emain the same afte$ the cost of can'y inc$eases ut no inc$ease in the sales p$ice is ma'e* how many o)es of can'y must %itte$sweet sell!
114

". .:>*>>> %. (4*3>>


3:

C. .>>*>>> #. (=*->>

%o a'illa

34

. 8a$& Company p$o'uces a single p$o'uct. It sol' (2*>>> units last yea$ with the following $esults: Sales P3(2*>>> Va$ia le costs P-42*>>> 9i)e' costs 12>*>>> 2(2*>>> Jet income efo$e P1>>*>>> ta)es Income ta)es .>*>>> Jet income P 3>*>>> In an attempt to imp$o+e its p$o'uct in the coming yea$* 8a$& is consi'e$ing $eplacing a component pa$t in its p$o'uct that has a cost of P(.2> with a new an' ette$ <uality costing P..2> pe$ unit. " new machine will also e nee'e' to inc$ease plant capacity. The machine woul' cost P1:*>>> with a useful life of 3 yea$s an' no sal+age +alue. The company uses st$aight,line 'ep$eciation metho' on all plant assets. If 8a$& wishes to maintain the same cont$i ution ma$gin $atio afte$ implementing the changes* what selling p$ice pe$ unit of p$o'uct must it cha$ge ne)t yea$ to co+e$ the inc$ease' mate$ial costs! ". P(4.>> C. P(2.>> %. P-(.2> #. P(:.-%o a'illa

3=

. %; ;oto$s* Inc. employs .> sales pe$sonnel to ma$/et its line of economy automo iles. The a+e$age ca$ sells fo$ P1*(>>*>>> an' a 3L commission is pai' to the salespe$son. %; ;oto$s is consi'e$ing a change to a commission a$$angement that woul' pay each salespe$son a sala$y of P(.*>>> pe$ month plus a commission of (L of the sales ma'e y that salespe$son. The amount of total ca$ sales at which the two e)pense st$uctu$es woul' e in'iffe$ent is ". P((*2>>*>>> C. P->*>>>*>>> %. P(.*>>>*>>> #. P1(*>>>*>>> %o a'illa

Cost-Volume-Profit Analysis
4>

. Roun' Company is a g$oce$y sto$e that is cu$$ently open only ;on'ay th$ough Satu$'ay. Roun' Company is consi'e$ing opening on Sun'ays. The annual inc$emental costs of Sun'ay openings a$e estimate' at P-1*(>>. Roun'As g$oss ma$gin on sales is (2 pe$cent. Roun' estimates that 42 pe$cent of its Sun'ay sales to custome$s woul' e ma'e on othe$ 'ays if the sto$e we$e not open on Sun'ays. The one,'ay +olume of Sun'ay sales that woul' e necessa$y fo$ Roun' to attain the same wee/ly ope$ating as the cu$$ent si),'ay wee/ is ". P(*.>> C. P=*3>> %. P-*(>> #. P=*=:. %o a'illa

"ssuming that last yea$As fi)e' costs totale' P=1>*>>>* what was Sola$ CompanyAs composite $ea/,e+en point! ". -.*1(2 C. 11*-42 %. (4*->( #. =*1>1 %o a'illa
4-

. Ri+e$ an' Co.* ma/e$ of <uality pipes* has e)pe$ience' a stea'y g$owth in sales fo$ the past fi+e yea$s. Howe+e$* inc$ease in competition has le' Ri+e$ Co. to elie+e that an agg$essi+e a'+e$tising campaign will e necessa$y ne)t yea$ to maintain the companyAs p$esent g$owth. To p$epa$e fo$ ne)t yea$As a'+e$tising campaign* the companyAs accountant has p$epa$e' an' p$esente' the management with 'ata fo$ the cu$$ent yea$* (>>3* as p$esente' elow: Cost Sche'ule Va$ia le costs: #i$ect la o$ P :>.>>Dpipe #i$ect mate$ials -(.2>Dpipe Va$ia le o+e$hea' (2.>>Dpipe Total +a$ia le costs P1-4.2>Dpipe 9i)e' costs: ;anufactu$ing P (2>*>>> Selling .>>*>>> "'minist$ati+e 4>>*>>> Total fi)e' costs P1*-2>*>>> Selling p$ice* pe$ pipe P (2>.>> E)pecte' sales* (>>4 6(>*>>> units7 P2*>>>*>>> Ta) $ate: .>L The company has set the sales ta$get fo$ (>>4 at a le+el of P2*2>>*>>> 6o$ ((*>>> pipes7. If an a''itional P11(*2>> ha+e to e spent fo$ a'+e$tising in (>>4* what is the $e<ui$e' sales le+el in pesos to e<ual (>>3As afte$,ta) income! ". P.*42>*>>> C. P2*(2>*>>> %. P2*42>*>>> #. P.*(2>*>>> %o a'illa

41

. "ilu Company has the following ope$ating 'ata fo$ its manufactu$ing ope$ations: ?nit selling p$ice P (2> ?nit +a$ia le cost 1>> Total fi)e' costs :.>*>>> The companyAs 'ecision to inc$ease the wages of hou$ly wo$/e$s will inc$ease the unit +a$ia le cost y 1> pe$cent. Inc$eases in the sala$ies of facto$y supe$+iso$s an' p$ope$ty ta)es fo$ the facto$y will inc$ease fi)e' costs y . pe$cent. If sales p$ice is hel' constant* the ne)t $ea/,e+en point fo$ "ilu Company will e ". Inc$ease' y 3.> units. C. #ec$ease' y 3.> units. %. Inc$ease' y .>> units. #. Inc$ease' y :>> units. %o a'illa . Sola$ Company sells two p$o'ucts* %iggs an' %oggs. 8ast yea$* Sola$ Company sol' 1(*>>> units of %iggs an' (.*>>> units of %oggs. Relate' 'ata fo$ last yea$ a$e: P$o'uct ?nit Selling P$ice %iggs %oggs P1(> :> ?nit Va$ia le Cost P:> 3> ?nit Cont$i ution ;a$gin P.> (>

4(

115

Cost-Volume-Profit Analysis
4.

. "'o e Company sol' 1>>*>>> units of its p$o'uct at P(> pe$ unit. Va$ia le costs we$e P1. pe$ unit* consisting of manufactu$ing costs of P11 an' selling costs of P-. 9i)e' costs* which we$e incu$$e' unifo$mly th$oughout the yea$* amounte' to P4=(*>>> 6manufactu$ing costs of P2>>*>>> an' selling e)penses of P(=(*>>>7. The$e ha' een no eginning o$ en'ing in+ento$ies. If la o$ costs comp$ise of 2> pe$cent +a$ia le costs an' (> pe$cent f fi)e' costs* a 1> pe$cent inc$ease in wages an' sala$ies woul' inc$ease the num e$ of units $e<ui$e' to $ea/ e+en to ". 12(*.(C. 1.-*:42 %. 142*314 #. 1(=*=-: %o a'illa

Va$ia le selling cost P1.>> P1.>> The sales manage$ has ha' a P13>*>>> inc$ease in the u'get allotment fo$ a'+e$tising an' wants to apply the money to the most p$ofita le p$o'uct. The p$o'ucts a$e not su stitutes fo$ one anothe$ in the eyes of the companyAs custome$s. The manage$ may 'e+ote the enti$e P13>*>>> to inc$ease' a'+e$tising fo$ eithe$ NK,4 o$ %#,.. Suppose Tactless has only 1>>*>>> machine hou$s that can e ma'e a+aila le to p$o'uce a''itional units of NK,4 an' %#,.. If the potential inc$ease in sales units fo$ eithe$ p$o'uct $esulting f$om a'+e$tising is fa$ in e)cess of this p$o'uction capacity* which p$o'uct shoul' e a'+e$tise' an' what is the estimate' inc$ease in cont$i ution ma$gin ea$ne'! %o a'illa ". P$o'uct NK,4 shoul' e p$o'uce'* yiel'ing a cont$i ution ma$gin of P42*>>>. %. P$o'uct NK,4 shoul' e p$o'uce'* yiel'ing a cont$i ution ma$gin of P1--*---. C. P$o'uct %#,. shoul' e p$o'uce'* yiel'ing a cont$i ution ma$gin of P1:4*2>>. #. P$o'uct %#,. shoul' e p$o'uce'* yiel'ing a cont$i ution ma$gin of P(2>*>>>.
44

42

. ;ellow* Inc. sells its single p$o'uct fo$ P.> pe$ unit. ;ellow pu$chases the p$o'uct fo$ P(>. The salespeople $ecei+e a sala$y plus a commission of 2L of sales. 8ast yea$ the co$po$ationAs net income was P1>>*:>>. The co$po$ation is su 0ect to ->L income ta) $ate. The fi)e' costs of the company a$e: "'+e$tising P1(.*>>> Rent 3>*>>> Sala$ies 1:>*>>> Othe$ fi)e' costs -(*>>> Total P-=3*>>> The company is consi'e$ing changing the compensation plan fo$ sales pe$sonnel. If the o$gani&ation inc$eases the commission to 1>L of $e+enues an' $e'uces sala$ies y P:>*>>>* what $e+enues must the o$gani&ation ha+e to $aise in o$'e$ to ea$n the same net income as last yea$! ". P1*3>>*>>> C. P1*-2>*>>> %. P1*12>*>>> #. P1*3->*>>> %o a'illa . Tactless ;anufactu$ing Company p$o'uces two p$o'ucts fo$ which the following 'ata ha+e een ta ulate'. 9i)e' manufactu$ing cost is applie' at a $ate of P1.>> pe$ machine hou$. Pe$ ?nit NK,4 %#,. Selling p$ice P..>> P-.>> Va$ia le manufactu$ing cost P(.>> P1.2> 9i)e' manufactu$ing cost P>.42 P>.(>
116

43

. #$ape Co$p. woul' li/e to ma$/et a new p$o'uct at a selling p$ice of P12 pe$ unit. 9i)e' costs fo$ this p$o'uct a$e P1*>>>*>>> fo$ less than 2>>*>>> units of output an' P1*2>>*>>> fo$ 2>>*>>> o$ mo$e units of output. The cont$i ution ma$gin pe$centage is -2L. How many units of this p$o'uct must e sol' to ea$n a ta$get ope$ating income of P1 million! ". -33*334 C. .43*1=> %. -:>*=2( #. (23*.1> %o a'illa . Ca$e Company sol' 1>>*>>> units of its p$o'uct at P(> pe$ unit. Va$ia le costs a$e P1. pe$ unit* consisting of manufactu$ing costs of P11 an' selling costs of P-. 9i)e' costs* which a$e incu$$e' unifo$mly th$oughout the yea$* amount to P4=(*>>> 6manufactu$ing

4:

Cost-Volume-Profit Analysis

costs of P2>>*>>> an' selling costs of P(=(*>>>7. The$e we$e no eginning o$ en'ing in+ento$ies. If la o$ costs a$e 2>L of +a$ia le costs an' (>L of fi)e' costs* a 1>L inc$ease in wages an' sala$ies woul' inc$ease the num e$ of units $e<ui$e' to $ea/e+en 6in f$action fo$m7 to ". :>4*:.>D2.-. C. :>4*:.>D1..4. %. :-1*3>>D2.4:. #. :-1*3>>D1..(:. %o a'illa Question Jos. 4= th$ough :1 a$e ase' on the following: ;etal In'ust$ies* Inc. ope$ates its p$o'uction 'epa$tment only when o$'e$s a$e $ecei+e' fo$ one o$ oth of its two p$o'ucts* two si&es of metal 'iscs. The manufactu$ing p$ocess egins with the cutting of 'oughnut,shape' $ings f$om $ectangula$ st$ips of sheet metalM these $ings a$e then p$esse' into 'iscs. The sheets of metal* each . feet long an' weighing -( ounces* a$e pu$chase' P1-.3> pe$ $unning foot. The 'epa$tment has een ope$ating at a loss fo$ the past yea$ as shown elow. Sales fo$ the yea$ P1*4(>*>>> 8ess: e)penses 1*44(*>>> Jet loss fo$ the 'epa$tment P 2(*>>> The following info$mation is a+aila le. Ten thousan' .,foot pieces of metal yiel'e' .>*>>> la$ge 'iscs* each weighing . ounces an' selling fo$ P(=* an' .>*>>> small 'iscs* each weighing (.. ounces an' selling fo$ P1.. The co$po$ation has een p$o'ucing at less than Gno$mal capacityH an' has ha' no spoilage in the cutting step of the p$ocess. The s/eletons $emaining afte$ the $ings ha+e een cut a$e sol' fo$ sc$ap at P:.>> pe$ poun'. The +a$ia le con+e$sion cost of each la$ge 'isc is :>L of the 'iscAs 'i$ect mate$ial cost* an' +a$ia le con+e$sion cost of each small 'isc is 42L of the 'iscAs 'i$ect mate$ial cost. Va$ia le con+e$sion costs a$e the sum of 'i$ect la o$ an' +a$ia le o+e$hea'. 9i)e' costs we$e P:3>*>>>.
117

4=

. The net cost pe$ ounce of mate$ial is ". P(.>> C. P1.4> %. P1.3> #. P1.:>

%o a'illa

:>

. The total +a$ia le costs pe$ unit fo$ the la$ge an' small 'iscs* $especti+ely* a$e ". P1>.(> an' P:.3>. C. P =.1> an' P2.->. %. P1...> an' P:..>. #. P11.:> an' P3.3>. %o a'illa . If the mate$ial costs fo$ la$ge an' small 'iscs a$e P:.2> an' P2.1>* $especti+ely* an' the no$mal p$o'uction capacity is 1>>*>>>,unit le+el* what is the $ea/e+en point! ". =1*311. C. 4=*:13. %. :4*(13. #. :(*.1(. %o a'illa

:1

Questions :( th$ough :3 a$e ase' on the Statement of Income of #a+ao* Inc. which $ep$esents the ope$ating $esults fo$ the cu$$ent fiscal yea$ en'ing #ecem e$ -1. #a+ao ha' sales of 1*:>> tons of p$o'uct 'u$ing the cu$$ent yea$. The manufactu$ing capacity of #a+aoAs facilities is -*>>> tons of p$o'uct. Consi'e$ each <uestionAs situation sepa$ately. Sales P=>>*>>> Va$ia le costs ;anufactu$ing P-12*>>> Selling costs 1:>*>>> Total +a$ia le costs P.=2*>>> Cont$i ution ma$gin P.>2*>>> 9i)e' costs ;anufactu$ing P =>*>>> Selling 11(*2>> "'minist$ation .2*>>> Total fi)e' costs P(.4*2>> Jet income efo$e income ta)es P124*2>> Income ta)es 6.>L7 63-*>>>7 Jet income afte$ income ta)es P =.*2>>
:(

. The $ea/e+en +olume in tons of p$o'uct fo$ the yea$ is

Cost-Volume-Profit Analysis

". %.
:-

.(> .=2

C. 1*1>> #. 22>

%o a'illa

. If the sales +olume is estimate' to e (*1>> tons in the ne)t yea$* an' if the p$ices an' costs stay at the same le+els an' amounts ne)t yea$* the afte$,ta) income that #a+ao can e)pect fo$ ne)t yea$ is ". P1-2*>>> C. P11>*(2> %. P(:-*2>> #. P1:.*2>> %o a'illa . #a+ao has a potential fo$eign custome$ that has offe$e' to uy 1*2>> tons at P.2> pe$ ton. "ssume that all of #a+aoAs costs woul' e at the same le+els an' $ates as last yea$. 5hat net income afte$ ta)es woul' #a+ao ma/e if it too/ this o$'e$ an' $e0ecte' some usiness f$om $egula$ custome$s so as not to e)cee' capacity! ". P(=4*2>> C. P(11*2>> %. P(2(*>>> #. P(23*2>> %o a'illa . 5ithout p$e0u'ice to you$ answe$s to p$e+ious <uestions* an' assume that #a+ao plans to ma$/et its p$o'uct in a new te$$ito$y. #a+ao estimates that an a'+e$tising an' p$omotion p$og$am costing P31*2>> annually woul' nee' to e un'e$ta/en fo$ the ne)t two o$ th$ee yea$s. In a''ition* a P(2 pe$ ton sales commission o+e$ an' a o+e the cu$$ent commission to the sales fo$ce in the new te$$ito$y woul' e $e<ui$e'. How many tons woul' ha+e to e sol' in the new te$$ito$y to maintain #a+aoAs cu$$ent afte$,ta) income of P=.*2>>! ". ->4.2 C. (4-.%. 1*>=2.> #. 1*2.2.> %o a'illa . 5ithout p$e0u'ice to p$ece'ing <uestions* assume that #a+ao estimates that the pe$ ton selling p$ice will 'ecline 1>L ne)t yea$. Va$ia le costs will inc$ease P.> pe$ ton an' the fi)e' costs will not change. 5hat sales +olume in pesos will e $e<ui$e' to ea$n an afte$,ta) income of P=.*2>> ne)t yea$! ". P1*1.>*>>> C. P1*2>>*>>> %. P :(2*>>> #. P1*-2>*>>> %o a'illa

:.

Question Jos. :4 th$ough =1 a$e ase' on the following: "nilao S/i Company $ecently e)pan'e' its manufactu$ing capacity to allow it to p$o'uct up to 12*>>> pai$s of c$oss,count$y s/is of eithe$ the mountainee$ing mo'el o$ the tou$ing mo'el. The sales 'epa$tment assu$es management that it can sell etween =*>>> an' 1-*>>> pai$s 6units7 of eithe$ p$o'uct this yea$. %ecause the mo'els a$e +e$y simila$* "nilao S/i will p$o'uce only one of the two mo'els. The following 'ata we$e compile' y the accounting 'epa$tment. ;ountainee$ing Tou$ing Selling p$ice pe$ P::.>> :>.>> unit Va$ia le cost pe$ 2(.:> (.:> unit 9i)e' costs will total P-3=*3>> if the mountainee$ing mo'el is p$o'uce' ut will e only P-13*:>> if the tou$ing mo'el is p$o'uce'. "nilao S/i Company is su 0ect to a .>L income ta) $ate.
:4

:2

. If "nilao S/i Company 'esi$es an afte$,ta) net income of P(.*>>>* how many pai$s of tou$ing mo'el s/is will the company ha+e to sell! ". 1-*11: C. 1-*:2%. 1(*2(= #. .*.3> %o a'illa . The total sales $e+enue at which "nilao S/i Company woul' ma/e the same p$ofit o$ loss $ega$'less of the s/i mo'el it 'eci'e' to p$o'uce is ". P::>*>>> C. P=(.*>>> %. P.((*.>> #. P3:3*.>> %o a'illa . How much woul' the +a$ia le cost pe$ unit of the tou$ing mo'el ha+e to change efo$e it ha' the same $ea/e+en point in units as the mountainee$ing mo'el! ". P(.3:Dunit inc$ease C. P2.>-Dunit 'ec$ease %. P..2-Dunit inc$ease #. P(.=4Dunit 'ec$ease %o a'illa . If the +a$ia le cost pe$ unit of tou$ing s/is 'ec$eases y 1>L* an' the total fi)e' cost of tou$ing s/is inc$eases y 1>L* the new $ea/e+en point will e ". 1>*4-> pai$s

::

:=

:3

=>

118

Cost-Volume-Profit Analysis

%. 1-*>>4 pai$s C. 1(*:1( pai$s #. ?nchange' f$om 11*3.: pai$s e<ual an' offsetting
=1

%o a'illa ecause the cost changes a$e

. If the "nilao S/i Company sales 'epa$tment coul' gua$antee the annual sale of 1(*>>> s/is of eithe$ mo'el* "nilao woul' ". P$o'uce tou$ing s/is ecause they ha+e a lowe$ fi)e' cost. %. P$o'uce only mountainee$ing s/is ecause they a lowe$ $ea/e+en point. C. P$o'uce mountainee$ing s/is ecause they a$e mo$e p$ofita le. #. %e in'iffe$ent as to which mo'el is sol' ecause each mo'el has the same +a$ia le cost pe$ unit. %o a'illa

8ess fi)e' inte$est cost Income efo$e income ta)es 8ess income ta) 6->L7 Jet income RP$ima$ily 'ep$eciation on sto$age facilities

2.>*>>> 1*3>>*>>> .:>*>>> P1*1(>*>>>

"s ;aui han'e' the statement to 1im Vice$oy* PullmanAs p$esi'ent* she commente'* GI went ahea' an' use' the agentsA 12L commission $ate in completing these statements* ut weA+e 0ust lea$ne' that they $efuse to han'le ou$ p$o'ucts ne)t yea$ unless we inc$ease the commission $ate to (>L.H GThatAs the last st$aw*H 1im $eplie' ang$ily. GThose agents ha+e een 'eman'ing mo$e an' mo$e* an' this time theyA+e gone too fa$. How can they possi ly 'efen' a (>L commission $ate!H GThey claim that afte$ paying fo$ a'+e$tising* t$a+el* an' the othe$ costs of p$omotion* the$eAs nothing left o+e$ fo$ p$ofit*H $eplie' ;aui. GI say itAs 0ust plain $o e$y*H $eto$te' 1im. G"n' I also say itAs time we 'umpe' those guys an' got ou$ own sales fo$ce. Can you get you$ people to wo$/ up some cost figu$es fo$ us to loo/ at!H G5eA+e al$ea'y wo$/e' them up*H sai' ;aui. GSe+e$al companies we /now a out pay a 4.2L commission to thei$ own salespeople* along with a small sala$y. Of cou$se* we woul' ha+e to han'le all p$omotion costs* too. 5e figu$e ou$ fi)e' costs woul' inc$ease y P(*.>>*>>> pe$ yea$* ut that woul' e mo$e than offset y the P-*(>>*>>> 6(>L ) P13*>>>*>>>7 that we woul' a+oi' on agentsA commissions.H The $ea/'own of the P(*.>>*>>> cost figu$e follows: Sala$ies: Sales manage$ P 1>>*>>> Salespe$sons 3>>*>>> T$a+el an' ente$tainment .>>*>>> "'+e$tising 1*->>*>>> Total P(*.>>*>>>
119

Question Jos. =( th$ough =3 a$e ase' on the following: Pullman Company is a small ut g$owing manufactu$e$ of telecommunications e<uipment. The company has no sales fo$ce of its ownM $athe$* it $elies completely on in'epen'ent sales agents to ma$/et its p$o'ucts. These agents a$e pai' a commission of 12L of selling p$ice fo$ all items sol'. ;aui Soliman* PullmanAs cont$olle$* has 0ust p$epa$e' the companyAs u'gete' income statement fo$ ne)t yea$. The statement follows: Pullman Company %u'gete' Income Statement 9o$ the Kea$ En'e' #ecem e$ -1 Sales ;anufactu$ing costs: Va$ia le 9i)e' o+e$hea' B$oss ma$gin Selling an' a'minist$ati+e costs: Commissions to agents 9i)e' ma$/eting costsR 9i)e' a'minist$ati+e costs Jet ope$ating income

P13*>>>*>>> P4*(>>*>>> (*-.>*>>> =*2.>*>>> 3*.3>*>>>

(*.>>*>>> 1(>*>>> 1*:>>*>>>

.*-(>*>>> (*1.>*>>>

Cost-Volume-Profit Analysis
=3

GSupe$*H $eplie' 1im. G"n' I note that the P(*.>>*>>> is 0ust what weA$e paying the agents un'e$ the ol' 12L commission $ate.H GItAs e+en ette$ than that*H e)plaine' ;aui. G5e can actually sa+e P42*>>> a yea$ ecause thatAs what weA$e ha+ing to pay the au'iting fi$m now to chec/ out the agentsA $epo$ts. So ou$ o+e$all a'minist$ati+e costs woul' e less.H GPull all of these num e$ togethe$ an' weAll show them to the e)ecuti+e committee tomo$$ow*H sai' 1im. G5ith the app$o+al of the committee* we can mo+e on the matte$ imme'iately.H
=(

. The +olume of sales at which net income woul' e e<ual $ega$'less of whethe$ Pullman Company sells th$ough agents at a (>L commission $ate o$ employs its own sales fo$ce: ". P11*3(2*>>> C. P1=*(>>*>>> %. P1(*>>>*>>> #. P1:*3>>*>>> %o a'illa

. 5hat is the $ea/e+en point in pesos fo$ ne)t yea$ assuming that the agentsA commission $ate $emains unchange' at 12L! ". P1>*32>*>>> C. P =*>>>*>>> %. P1(*>>>*>>> #. P1>*42>*>>> %o a'illa . 5hat is the $ea/e+en point in pesos fo$ ne)t yea$ assuming that the agentsA commission $ate is inc$ease' to (>L! ". P1-*141*>>> C. P1-*41.*(:3 %. P12*>>>*>>> #. P1(*42>*>>> %o a'illa . 5hat is the $ea/e+en point in pesos fo$ ne)t if the company employs its own sales fo$ce! ". P12*>>>*>>> C. P1-*>=>*=>= %. P1(*=2.*2.2 #. P12*124*:=2 %o a'illa . "ssume that Pullman Company 'eci'es to continue selling th$ough agents an' pays the (>L commission $ate. The +olume of sales that woul' e $e<ui$e' to gene$ate the same net income as containe' in the u'gete' income statement fo$ ne)t yea$ woul' e: ". P1:*(:2*41. C. P1=*((2*>>> %. P1:*-3:*.(1 #. P(>*.1.*41. %o a'illa

Question Jos. =4 th$ough 1>( a$e ase' on the following info$mation: San Ca$los ope$ates a gene$al hospital ut $ents space an' e's to sepa$ate entities fo$ speciali&e' t$eatment such as pe'iat$ics* mate$nity* psychiat$ic* etc. San Ca$los cha$ges each sepa$ate entity fo$ common se$+ices to its patients li/e meals an' laun'$y an' fo$ all a'minist$ati+e se$+ices such as illings* collections* etc. "ll uncollecti le accounts a$e cha$ge' 'i$ectly to the entity. Space an' e' $entals a$e fi)e' fo$ the yea$. 9o$ the enti$e yea$ en'e' Fune ->* the Pe'iat$ics #epa$tment at San Ca$los Hospital cha$ge' each patient an a+e$age of P32> pe$ 'ay* ha' a capacity of 3> e's* ope$ate' (. hou$s pe$ 'ay fo$ -32 'ays* an' ha' $e+enue of P1>*343*(2>. E)penses cha$ge' y the hospital to the Pe'iat$ics #epa$tment fo$ the yea$ en'e' Fune -> we$e: %asis of "llocation Patient %e' #ays Capacity #ieta$y P -(:*2>> Fanito$ial P 11:*.>> 8aun'$y 1=4*1>> 8a * othe$ than 'i$ect cha$ges to patients .1>*3(2 Pha$macy .1>*3(2 Repai$s an' maintenance 32*4>> 33*>.2 Bene$al a'minist$ati+e se$+ices 1*(1:*4:> Rent (*2.3*41> %illings an' collections 3:=*:2> %a' 'e t e)pense (.3*-42
120

=-

=.

=2

Cost-Volume-Profit Analysis

11.*=42 (.>*-12 P(*.3-*42 P.*1=>*(2 > > The only pe$sonnel 'i$ectly employe' y the Pe'iat$ics #epa$tment a$e supe$+ising nu$ses* nu$ses* an' ai'es. The hospital has minimum pe$sonnel $e<ui$ements ase' on total annual patient 'ays. Hospital $e<ui$ements eginning at the minimum* e)pecte' le+el of ope$ation follow: "nnual Patient "i'es Ju$ses Supe$+ising Ju$ses #ays 1>*>>> E 1.*>>> (1 11 . 1.*>>1 E 14*>>> (( 1( . 14*>>1 E (-*4(2 (( 1. (-*4(3 E (2*22> (2 1. 2 (2*221 E (4*-42 (3 1. 2 (4*-43 E (=*(>> (= 13 3 The staffing le+els a o+e $ep$esent full,time e<ui+alents* an' it shoul' e assume' that the Pe'iat$ics #epa$tment always employs only the minimum num e$ of $e<ui$e' full,time e<ui+alent pe$sonnel. "nnual sala$ies fo$ each class of employee follow: supe$+ising nu$ses* P1:>*>>>M nu$ses* P1->*>>>M an' ai'es* P2>*>>>. Sala$y e)pense fo$ the yea$ en'e' Fune -> fo$ supe$+ising nu$ses* nu$ses* an' ai'es was P4(>*>>>* P1*23>*>>>* an' P1*1>>*>>>* $especti+ely. The Pe'iat$ics #epa$tment ope$ate' at 1>>L capacity 'u$ing 111 'ays of the past yea$. It is estimate' that 'u$ing => of these capacity 'ays* the 'eman' a+e$age 14 patients mo$e than capacity an' e+en went as high as (> patients mo$e on some 'ays. The hospital has an a''itional (> e's a+aila le fo$ $ent fo$ the coming fiscal yea$.
=4

Othe$s Total

%.
==

=*:(>

#. 1(*>>>

%o a'illa

. The num e$ of patient 'ays nee'e' to co+e$ total costs is ". 1.*4:> C. 12*:(> %. 12*1.> #. 13*>:> %o a'illa . If the Pe'iat$ics #epa$tment $ente' an a''itional (> e's an' all othe$ facto$s $emain the same as in the past yea$* what woul' e the inc$ease in $e+enue! ". P ==.*2>> C. P1*>2.*2>> %. P :44*2>> #. P :=4*2>> %o a'illa .Continuing to consi'e$ the (> a''itional $ente' e's* the inc$ease in total +a$ia le cost applie' pe$ patient 'ay is ". P((=*-2> C. P((=*32> %. P((=*2>> #. P(-=*-2> %o a'illa .5hat is the inc$ease in fi)e' cost applie' fo$ e' capacity* gi+en the inc$ease in num e$ of e's! ". P1*-=3*334 C. P1*.4>*>>> %. P1*1:4*(-: #. P1*2(>*>>> %o a'illa

1>>

1>1

1>(

. The cont$i ution ma$gin pe$ patient 'ay is ". P.>>.>> C. P2>>.>> %. P.2>.>> #. P2(2.>>

%o a'illa e'

Question Jos. 1>- E 1>2 a$e ase' on the following: ;s. Sha$/ey sta$te' a pi&&a $estau$ant in (>>-. 9o$ this pu$pose a uil'ing was $ente' fo$ P.>*>>> pe$ month. Two women we$e hi$e' to wo$/ full time at the $estau$ant an' si) college stu'ents we$e hi$e' to wo$/ -> hou$s pe$ wee/ 'eli+e$ing pi&&a. This le+el of employment has een consistent. "n outsi'e accountant was hi$e' fo$ ta) an' oo//eeping pu$poses* fo$ which ;s. Sha$/ey pays P->*>>> pe$ month. The necessa$y $estau$ant e<uipment an' 'eli+e$y ca$s we$e pu$chase' with cash. ;s. Sha$/ey has notice' that e)penses fo$ utilities an' supplies ha+e een $athe$ constant. ;s. Sha$/ey inc$ease' he$ usiness etween (>>- an' (>>3. P$ofits ha+e mo$e than 'ou le' since (>>-. ;s. Sha$/ey 'oes not un'e$stan' why p$ofits ha+e inc$ease' faste$ than +olume. " p$o0ecte' income statement fo$ the yea$ en'e' #ecem e$ -1* (>>4* p$epa$e' y the accountant* is shown elow:
121

=:

. How many patient 'ays a$e necessa$y to co+e$ fi)e' costs fo$ capacity an' fo$ supe$+iso$y nu$ses! ". =*2>> C. 1>*(2>

Cost-Volume-Profit Analysis

Sales Cost of foo' sol' P(*:2>*>>> 5ages S f$inge enefits: Restau$ant help :12*>>> #eli+e$y help 1*4->*>>> Rent .:>*>>> "ccounting se$+ices -3>*>>> #ep$eciation: #eli+e$y e<uipment 2>>*>>> Restau$ant e<uipment ->>*>>> ?tilities (-(*2>> Supplies 1(>*>>> Jet income efo$e ta)es Income ta)es 6.>L7 Jet income Jote: The a+e$age pi&&a sells fo$ P(2>.
1>-

P=*2>>*>>>

4*-:4*2>> P(*11(*2>> :.2*>>> P1*(34*2>>

.5hat is the ta) shiel' on the noncash fi)e' costs! ". P-(>*>>> C. P1.=*2>> %. P-.>*>>> #. P2.>*>>>

income statement is shown elow. "ssume that cost of goo's sol' is 1>> pe$cent +a$ia le cost. Sales P1>*>>>*>>> Cost of goo's sol' 3*>>>*>>> B$oss ma$gin P .*>>>*>>> Selling an' a'minist$ati+e Commissions P(*>>>*>>> Othe$ e)penses 6fi)e'7 1>>*>>> (*1>>*>>> Income efo$e ta)es P 1*=>>*>>> Income ta) 6->L7 24>*>>> Jet income P 1*-->*>>> Time)As management is consi'e$ing the possi ility of employing full, time sales pe$sonnel. Th$ee in'i+i'uals woul' e $e<ui$e'* at an estimate' annual sala$y of P->*>>> each* plus commissions of 2 pe$cent of sales. In a''ition* a sales manage$ woul' e employe' at a fi)e' annual sala$y of P13>*>>>. "ll othe$ fi)e' costs* as well as the +a$ia le cost pe$centages* woul' $emain the same as the estimates in the (>>4 u'gete' income statement.
1>3

%o a'illa

1>.

.5hat is the $ea/e+en point in num e$ of pi&&as that must e sol'! ". (2*=(= C. (-*23= %. 1:*12> #. .(*11. %o a'illa .5hat is the cash flow $ea/e+en point in num e$ of pi&&as that must e sol'! ". 1=*2(= C. 1(*==> %. (1*(:. #. 1>*44%o a'illa
1>4

.How much is the estimate' $ea/,e+en point in peso sales fo$ the yea$ en'ing #ecem e$ -1* (>>4* ase' on the u'gete' income statement p$epa$e' y the cont$olle$! ". P2>>*>>> C. P(2>*>>> %. P.>>*>>> #. P1(2*>>> %o a'illa .How much is the estimate' $ea/,e+en point in peso sales fo$ the yea$ en'ing #ecem e$ -1* (>>4* if the company employs its own sales pe$sonnel! ". P 2.(*:24 C. P :42*>>> %. P 4.(*:24 #. P1*>>>*>>> %o a'illa .How much +olume in peso sales woul' e $e<ui$e' fo$ the yea$ en'ing #ecem e$ -1* (>>4* to yiel' the same net income as p$o0ecte' in the u'gete' income statement* if Time) continues to use the in'epen'ent sales agents an' ag$ees to thei$ 'eman' fo$ a (2 pe$cent sales commission! ". P :*>>>*>>> C. P1>*>>>*>>> %. P =*2--*--#. P1-*---*--%o a'illa

1>2

Question Jos. 1>3 th$ough 1>= a$e ase' on the following info$mation: Time) Spo$ting Boo's Company* a wholesale supply company* engages in'epen'ent sales agents to ma$/et the companyAs p$o'ucts th$oughout the count$y. These agents cu$$ently $ecei+e a commission of (> pe$cent of sales* ut they a$e 'eman'ing an inc$ease to (2 pe$cent of sales ma'e 'u$ing the yea$ en'ing #ecem e$ -1* (>>4. The cont$olle$ al$ea'y p$epa$e' the (>>4 u'get efo$e lea$ning of the agentsA 'eman' fo$ an inc$ease in commission. The u'gete' (>>4
122

1>:

Cost-Volume-Profit Analysis
1>=

.How much is the estimate' +olume in peso sales that woul' gene$ate an i'entical net income fo$ the yea$ en'ing #ecem e$ -1* (>>4* $ega$'less of whethe$ Time) employs its own sales pe$sonnel o$ continues to use the in'epen'ent sales agents an' pays them a (2 pe$cent commission! ". P1*>>>*>>> C. P1*2>>*>>> %. P1*(2>*>>> #. P1*:>>*>>> %o a'illa

". (-*-.. %. (4*>>>


11-

C. (=*:-#. ->*>>>

%o a'illa

."ssuming that Step Company will 0ust $ent a manufactu$ing space fo$ a month in o$'e$ to p$o'uce special o$'e$ fo$ :*>>> toys. 5hat is the accepta le minimum selling p$ice to Step Company fo$ the special sale! ". P1..>> C. P((.>> %. P12.(2 #. P(..>> %o a'illa

Question Jos. 11> th$ough 11- a$e ase' on the following 'ata: Step Company p$o'uces toys an' othe$ items fo$ use in each an' $eso$t a$eas. " small* inflata le toy has come onto the ma$/et that the company is an)ious to p$o'uce an' sell. Enough capacity e)ists in the companyAs plant to p$o'uce 13*>>> units of the toy each month. Va$ia le costs to manufactu$e an' sell one unit woul' e P1(.2>* an' fi)e' costs associate' with the toy woul' total P-2>*>>> pe$ month. The companyAs ;a$/eting #epa$tment p$e'icts that 'eman' fo$ the new toy will e)cee' the 13*>>> units that the company is a le to p$o'uce. "''itional manufactu$ing space can e $ente' f$om anothe$ company at a fi)e' cost of P1>*>>> pe$ month. Va$ia le costs in the $ente' facility woul' total P1. pe$ unit* 'ue to somewhat less efficient ope$ations than in the main plant. The new toy will sell fo$ P-> pe$ unit.
11>

Question Jos. 11. th$ough 11: a$e ase' on the following: %olton CompanyAs income statement fo$ last month is gi+en elow: Sales 612*>>> units O P->7 P.2>*>>> 8ess +a$ia le e)penses -12*>>> Cont$i ution ma$gin 1-2*>>> 8ess fi)e' e)penses =>*>>> Jet income P .2*>>> The in'ust$y in which %olton Company ope$ates is <uite sensiti+e to cyclical mo+ements in the economy. Thus* p$ofits +a$y consi'e$a ly f$om yea$ to yea$ acco$'ing to gene$al economic con'itions. The company has a la$ge amount of unuse' capacity an' is stu'ying ways of imp$o+ing p$ofits. " new e<uipment has Company to automate e $e'uce' y P= pe$ total of P((2*>>> each
11.

.The $ea/e+en units fo$ the new toy woul' e: ". (>*>>> C. (1*>>> %. 1:*>>> #. ((*2>>

come onto the ma$/et that woul' allow %olton a po$tion of its ope$ations. Va$ia le costs woul' unit. Howe+e$* fi)e' costs woul' inc$ease to a month.

%o a'illa

111

.How many units shoul' the company nee' to sell in o$'e$ to ea$n a efo$e,ta) p$ofit of P12>*>>>! ". =*1.C. -1*:42 %. ->*-42 #. -2*>>> %o a'illa .If the sales manage$ $ecei+es a onus of P1.>> fo$ each unit sol' in e)cess of the $ea/,e+en point* how many units must e sol' each month to ea$n a $etu$n of (2L on the monthly in+estment in fi)e' costs!
123

.How much income fo$ the month woul' the company ea$n if the new e<uipment is pu$chase'! ". P.2*>>> C. P3>*>>> %. P->*>>> #. P42*>>> %o a'illa .How many units a$e $e<ui$e' as inc$ease o$ 'ec$ease in point if the new e<uipment is pu$chase'! ". Pe$o C. -*(>> units %. (*2>> units #. .*>>> units $ea/e+en %o a'illa

112

11(

Cost-Volume-Profit Analysis
113

.The 'eg$ee of ope$ating le+e$age 'u$ing the month whe$e the new e<uipment is use' is: ". -.> times C. 3.> times %. ..2 times #. =.> times %o a'illa .Refe$ to the o$iginal 'ata. Rathe$ than pu$chase a new e<uipment* the p$esi'ent is thin/ing a out changing the companyAs ma$/eting metho'. ?n'e$ the new metho'* sales woul' inc$ease y (>L each month an' net income woul' inc$ease y one,thi$'. 9i)e' costs coul' e slashe' to only P.:*>>> pe$ month. Compute the $ea/,e+en point fo$ the company afte$ the change in ma$/eting metho'. ". :*>>> units C. =*>>> units %. 1(*2>> units #. 1>*>>> units %o a'illa ."ssuming that 'u$ing the month following the month new e<uipment has een sta$te' in use* the unit sales inc$ease' y .*2>> units. The +a$ia le e)penses pe$ unit an' the monthly fi)e' costs as affecte' y the ac<uisition of the new e<uipment a$e e)pecte' to $emain constant. 5hat is the e)pecte' p$ofit of the company fo$ that month! ". P :1*>>> C. P :2*2>> %. P1(3*>>> #. P .2*>>> %o a'illa

Sales commission 9i)e' e)penses pe$ yea$: Rent "'+e$tising Sala$ies Total
11=

1.> P2>> P1*3>>*>>> -*>>>*>>> 1*.>>*>>> P3*>>>*>>>

114

.How many units a$e $e<ui$e' fo$ the companyAs #a+ao sales outlet to $ea/e+en! ". 1(*>>> pai$s C. (>*>>> pai$s %. 14*1.- pai$s #. ((*>>> pai$s %o a'illa .If 1:*>>> pai$s of shoes a$e sol' in a yea$* what woul' e #a+ao sales outletAs net income! ". P 3>>*>>> C. P 2>>*>>> %. P63>>*>>>7 #. P62>>*>>>7 %o a'illa .The company is consi'e$ing paying the sto$e manage$ of #a+ao sales outlet an incenti+e commission of P42 pe$ pai$ of shoes 6in a''ition to the salespe$sonAs commission7. If this change is ma'e* what will e the new $ea/e+en in pai$s of shoes! ". (3*334 C. (>*>>> %. 13*>>> #. ((*>>> %o a'illa .Instea' of paying the manage$ a st$aight P42 pe$ pai$ of shoes commission on all pai$s of shoes sol'* the company is consi'e$ing paying the sto$e manage$ P2> commission on each pai$ of shoes sol' in e)cess of the $ea/e+en point. If this change is ma'e* what will e the sales outletAs net income o$ loss if (2*>>> pai$s of shoes a$e sol'! ". P (2>*>>> C. P1*2>>*>>> %. P =>>*>>> #. P1*(2>*>>> %o a'illa .If the company woul' pay the manage$ P2> commission on each pai$ of shoes sol' in e)cess of the $ea/e+en point* how many pai$s of shoes a$e $e<ui$e' to ea$n P=>>*>>> p$ofit!

1(>

11:

1(1

Question Jos. 11= th$ough 1(. a$e ase' on the following: Papate$o Co$po$ation ope$ates a chain of shoe sto$es a$oun' the count$y. The sto$es ca$$y many styles of shoes that a$e all sol' at the same p$ice. To encou$age sales pe$sonnel to e agg$essi+e in thei$ sales effo$ts* the company pays a su stantial sales commission on each pai$ of shoes sol'. Sales pe$sonnel also $ecei+e a small asic sala$y. The following cost an' $e+enue 'ata $elate to #a+ao sales outlet an' a$e typical of the companyAs many sales outlets: Selling p$ice P:>> Va$ia le e)penses: In+oice costs P-3>
124

1((

1(-

Cost-Volume-Profit Analysis

". (-*3>> %. (-*>>>


1(.

C. (2*>>> #. (4*2>>

%o a'illa

.The company is consi'e$ing eliminating sales commissions enti$ely in its sto$es an' inc$easing fi)e' sala$ies y P(*1.(*>>> annually. If this change is ma'e* what will e the num e$ of pai$s of shoes to e sol' y #a+ao outlet to e in'iffe$ent to commission asis! ". (2*->> C. (1*>>> %. 12*->> #. 1:*2>2 %o a'illa

'ou le. 5hat will the new p$ofit o$ loss if these changes a$e a'opte'! ". P 3>*>>> C. P .2*>>> %. P63>*>>>7 #. P6.2*>>>7 %o a'illa
1(:

The following info$mation shoul' e use' to answe$ Question Jos. 1(2 th$ough 1-1. #ue to e$$atic sales of its sole p$o'uct , a high,capacity atte$y fo$ laptop compute$s* Salce'o Company has een e)pe$iencing 'ifficulty fo$ some time. The companyAs income statement fo$ the most $ecent month is gi+en elow: Sales 61=*2>> units O P->>7 P2*:2>*>>> 8ess +a$ia le e)penses .*>=2*>>> Cont$i ution ma$gin 1*422*>>> 8ess fi)e' e)penses 1*:>>*>>> Jet loss P 6.2*>>>7
1(2

.Refe$ to the o$iginal 'ata. The ;a$/eting #epa$tment thin/s that a fancy new pac/age fo$ the laptop compute$ atte$y woul' help sales. The new pac/age woul' inc$ease pac/aging costs y P4.2> pe$ unit. "ssuming no othe$ changes* how many units woul' ha+e to e sol' each month to ea$n a p$ofit of P=4*2>>! ". (1*:1: C. (2*.2> %. (-*>>> #. (:*>>> %o a'illa .Refe$ to the o$iginal 'ata. %y automating ce$tain ope$ations* the company coul' $e'uce +a$ia le costs y P- pe$ unit. Howe+e$* fi)e' costs woul' inc$ease y P4(*>>> each month. How woul' the $ea/e+en point in units change if the company automate' the ope$ations! ". 1*>>> units inc$ease C. -*>>> units inc$ease %. 1*>>> units 'ec$ease #. -*>>> units 'ec$ease %o a'illa

1(=

1->

.The $ea/ e+en in peso sales fo$ Salce'o Company is: ". P3*>>>*>>> C. P2*:2(*423 %. P(*241*.(= #. P4*2>>*>>>

%o a'illa
1-1

."t what le+el of p$o'uction woul' the automation of the p$o'uction p$ocess e in'iffe$ent to the p$esent p$ocess! ". 1:*>>> C. (.*>>> %. (1*>>> #. (:*>>> %o a'illa .5hich of the two metho's 6the p$esent o$ the automate'7 has highe$ income at the le+el of sales of (3*>>> units! ". ;anual* P3>*>>> C. ;anual* P(.>*>>> %. "utomate'* P3>*>>> #. "utomate'* P(.>*>>> %o a'illa

1(3

.The p$esi'ent elie+es that a P13>*>>> inc$ease in the monthly a'+e$tising u'get* com ine' with an intensifie' effo$t y the sales staff* will $esult in an P:>>*>>> inc$ease in monthly sales. If the p$esi'ent is $ight* what will e the effect on the companyAs monthly net income o$ loss! ". P1(>*>>> inc$ease C. P1(>*>>> 'ec$ease %. P :>*>>> inc$ease #. P :>*>>> 'ec$ease %o a'illa .Refe$ to the o$iginal 'ata. The sales manage$ is con+ince' that a 1>L $e'uction in the selling p$ice* com ine' with an inc$ease of P3>>*>>> in the monthly a'+e$tising u'get* will cause unit sales to
125

1(4

Question Jos. 1-( E 1-. a$e ase' on the following: "lmo Company manufactu$es an' sells a'0usta le canopies that attach to moto$ homes an' t$aile$s. The ma$/et co+e$s new unit pu$chases as well as $eplacement canopies. "lmo 'e+elope' its (>>4 usiness plan ase' on the assumption that canopies woul' sell at a p$ice of P.>>

Cost-Volume-Profit Analysis

each. The +a$ia le costs fo$ each canopy we$e p$o0ecte' at P(>>* an' the annual fi)e' costs we$e u'gete' at P1>>*>>>. "lmoAs afte$Eta) p$ofit o 0ecti+e was P(.>*>>>M the companyAs effecti+e ta) $ate is .> pe$cent. 5hile "lmoAs sales usually $ise 'u$ing the secon' <ua$te$* the ;ay financial statements $epo$te' that sales we$e not meeting e)pectations. 9o$ the fi$st fi+e months of the yea$* only -2> units ha' een sol' at the esta lishe' p$ice* with +a$ia le costs as planne'* an' it was clea$ that the (>>4 afte$,ta) p$ofit p$o0ection woul' not e $eache' unless some actions we$e ta/en. "lmoAs p$esi'ent assigne' a management committee to analy&e the situation an' 'e+elop se+e$al alte$nati+e cou$ses of action. The following mutually e)clusi+e alte$nati+es* la ele' "* %* an' C* we$e p$esente' to the p$esi'ent. Re'uce the sales p$ice y P.>. The sales o$gani&ation fo$ecast that with the significantly $e'uce' sales p$ice* (*4>> units can e sol' 'u$ing the $emain'e$ of the yea$. Total fi)e' an' +a$ia le unit costs will stay as u'gete'. 8owe$ the +a$ia le costs pe$ unit y P(2 th$ough the use of less e)pensi+e mate$ials an' slightly mo'ifie' manufactu$ing techni<ues. The sales p$ice will also e $e'uce' y P->* an' sales of (*(>> units fo$ the $emain'e$ of the yea$ a$e fo$ecast. Cut fi)e' costs y P1>*>>>* an' lowe$ the sales p$ice y 2 pe$cent. Va$ia le costs pe$ unit will e unchange'. Sales of (*>>> units a$e e)pecte' fo$ the $emain'e$ of the yea$.
1-(

%. 1*4>>
1-.

#. (*2>>

%o a'illa y P.>* what will %o a'illa

.If management 'eci'es to $e'uce the selling p$ice "lmo@s afte$,ta) p$ofit e! ". P124*(>> C. P(.1*(>> %. P13>*:>> #. P->1*(>>

1-2

.If the management can $e'uce the +a$ia le cost pe$ unit y P(2 th$ough the use of less e)pensi+e mate$ials an' slightly mo'ifie' manufactu$ing techni<ues* with the sales p$ice $e'uce' y P->* an' sales of (*(>> units fo$ the $emain'e$ of the yea$ a$e fo$ecast* the amount of e)pecte' income fo$ the yea$ was: ". P(-=*.>> C. P(.1*(>> %. P(>.*>>> #. P-==*>>> %o a'illa .How much woul' e the e)pecte' income fo$ the yea$ if the management cut fi)e' costs y P1>*>>>* an' lowe$ the sales p$ice y 2 pe$cent* with +a$ia le costs pe$ unit unchange' an' sales of (*>>> units a$e e)pecte' fo$ the $emain'e$ of the yea$! ". P(-=*.>> C. P(.1*(>> %. P(>.*>>> #. P-==*>>> %o a'illa .If the sales p$ice is $e'uce' y 3.(2 pe$cent sta$ting Fune 1* an analysis in'icates that (*2>> unit sales can e ma'e if the company has to spent fo$ a''itional a'+e$tising. 5hat is the ma)imum amount of a'+e$tising cost that the company can spen' an' still the p$ofit o 0ecti+e is achie+e'! ". P-2*>>> C. P12*>>> %. P((*2>> #. P 4*2>> %o a'illa

1-3

1-4

."ssuming no changes we$e ma'e to the selling p$ice o$ cost st$uctu$e* how many units must "lmo sell to $ea/ e+en! ". 134 C. 2>> %. (2> #. 1*4>> %o a'illa ."ssuming no changes we$e ma'e to the selling p$ice o$ cost st$uctu$e* how many units must "lmo sell to achie+e its afte$,ta) p$ofit o 0ecti+e! ". 1*(2> C. (*>>>
126

1--

. "nswe$: % Cont$i ution ;a$gin C 9i)e' costs C P12*>>> 6Cont$i ution ;a$ginD?nit Sales7 T Va$ia le cost pe$ unit C #esi$e' ;inimum Sales P$ice 6P12*>>> U -*>>>7 T 6P4*2>> U -*>>>7 4.2> P (>.>> P1>*>>>

. "nswe$: C ?nit cont$i ution ma$gin 6P2> , P->7 "''itional p$ofit 62>> ) P(>7

"fte$ the $ea/,e+en le+el* the amount of p$ofit e<uals the unit cont$i ution ma$gin multiplie' y the num e$ of units sol' in e)cess of $ea/,e+en units. The can'i'ates shoul' $emem e$ that the p$ofit inc$eases cont$i ution ma$gin $ought y a''itional units sol'.
3

y the amount of

"nswe$: " Cost of 'inne$ 9a+o$s an' p$og$am 9i)e' costs 612*>>> T 4*>>> T .:*>>> T 1>*>>>7D(2> Cost to e cha$ge'

P 4>.>> ->.>> -(>.>> P.(>.>>

. "nswe$: % The num e$ of units $e<ui$e' to ea$n the ta$get p$ofit is e<ual to the sum of fi)e' e)penses an' the ta$get p$ofit 'i+i'e' y the unit cont$i ution ma$gin. The num e$ of units $e<ui$e' to ea$n the ta$get net p$ofit is: 6P4:*>>> T P.(*>>>7 U P1( 1>*>>> . "nswe$: " Selling P$ice 8ess: Va$ia le ;anufactu$ing Cost 1>L Commission ?nit Cont$i ution ;a$gin P 3> 6 ->7 6 37 P (.

. "nswe$: " Cu$$ent $ea/,e+en: Pesos: 6P-(*>>> U >..>7 ?nits: VP-(*>>> U P37 2*--Cont$i ution ma$gin pe$ unit: P12 ) >..> P "''itional units to co+e$ a''itional fi)e' costs: 6P-(*>>> ) >.-7 P3 "lte$nati+e solution: Jew $ea/e+en units 6P-(*>>> ) 1.-7 U P3 8ess cu$$ent $ea/e+en units Inc$ease in $ea/e+en units

P:>*>>> 3.>> 1*3>> 3*=-2*--1*3>>

. "nswe$: " The amount of cont$i ution ma$gin pe$ unit is constant within a $ele+ant $ange. The amount of p$ofit is inc$ease' y the amount of unit cont$i ution ma$gin. Cont$i ution ma$gin pe$ unit: fi)e' cost U $ea/e+en unit sales 2>*>>> U 2*>>> P1>.>> "t $ea/e+en point* the p$ofit is &e$o. The$efo$e* the p$ofit at a le+el of 2*>>1 units will e P1> which is the amount of cont$i ution p$o+i'e' y the unit 6one unit7 in e)cess of $ea/e+en point.

"nswe$: " C;R C 9i)e' costDSales C 1>>*>>>D:>>*>>> C 1(.2>L P$ofit C 61*(>>*>>> E :>>*>>>7>.1(2 P2>*>>>

The amount of sales that p$o+i'es p$ofit shoul' e the sales $e+enues a o+e the $ea/ e+en sales. "lte$nati+e solution: Total cont$i ution ma$gin 1*(>>*>>> ) >.1(2 9i)e' costs P$ofit
9

P12>*>>> 1>>*>>> P 2>*>>> P: 2>*>>> P13 (2*>>> (2*>>> 11.>> P::>*>>>

"nswe$: " Cu$$ent unit cont$i ution ma$gin 6P-( E P(.7 Cu$$ent $ea/,e+en units 6P.>>*>>> U P:7 Jew unit cont$i ution ma$gin 6P.> , P(.7 Jew $ea/,e+en units 6.>>*>>> U 137 Jet 'ec$ease in $ea/e+en units 62>*>>> E (2*>>>7 "nswe$: " C; pe$ unit: ((>*>>> D 61>>*>>> E :>*>>>7 9i)e' costs: :>*>>> ) 11

10

The cont$i ution ma$gin pe$ unit is linea$ o$ constant pe$ unit. The$efo$e: TC; ?nits C ?C;
11

"nswe$: % TC; Sales C C;R Change in TC;: 63>>*>>>R>.(7 E 6-3>*>>>R>.17 C;R: Inc$ease in TC; U Inc$ease in Sales :.*>>> U (.>*>>> %$ea/e+en sales =>*->> U >.-2

:.*>>> -2L (2:*>>> .>*>>> (>>*>>> (.>*>>>

12

"nswe$: C %efo$e,ta) p$ofit (.*>>> U >.3 "'' fi)e' cost Total cont$i ution ma$gin

Selling p$ice C ?VC T ?C; Selling P$ice C 3 T 6(.>*>>> U .>*>>>7


13

1(.>>

. "nswe$: C The company@s 'eg$ee of ope$ating le+e$age is 'ete$mine' as follows: #eg$ee of ope$ating le+e$age C Cont$i ution ma$gin U Jet income #eg$ee of ope$ating le+e$age C P3>>*>>> U P(.>*>>> C (.2> . "nswe$: " Inc$ease in sales 8ess +a$ia le costs an' e)penses >.=> ) 1(2*>>> "''itional p$ofit efo$e ta) 8ess a''itional ta) >..> ) 1(*2>> "''itional p$ofit 1(2*>>> 11(*2>> 1(*2>> 2*>>> 4*2>>

14

15

. "nswe$: % "''itional p$ofit U ?C; C a''itional unit sales C 6.>*>>> T :*>>>7 U 6:>,3>7 C (*.>> units . "nswe$: " Total peso sales $e<ui$e' 1(>*>>> U 6>.(2 E >.17 :>>*>>>R 8ess p$io$ sales .>>*>>> Re<ui$e' inc$ease in sales .>>*>>>

16

RPeso sales $e<ui$e' to ea$n p$ofit state' as pe$centage of sales 6ROS7: S C V9C T 6ROSS7W C;R 6C;R S7 C V9C T 6ROSS7W 6C;R S7 , 6ROSS7 C 9C 6C;R E ROS7 S C 9C S C 9C 6C;R E ROS7
17

"nswe$: " Cont$i ution ma$gin 2>*>>> ) 62,-.2>7 8ess: a''itional p$ofit 6(2>*>>> ) >.1>7 "''itional fi)e' costs Selling p$ice C P-.2> U >.4>

42*>>> (2*>>> 2>*>>> P2.>>

18

. "nswe$: C " sho$te$ calculation of fin'ing the amount of sales is to 'i+i'e $ea/e+en sales y 61 E ;SR7 Sales C P3>>*>>> 61 E >.(7 P42>*>>> "n alte$nati+e solution to fin' sales is to compute the p$ofit ma$gin. P$ofit ma$gin C Cont$i ution ma$gin $atio ) ma$gin of safety $atio. P$ofit ma$gin C (>L ) .>L :L Sales C P$ofit U P$ofit ma$gin

Sales 63>*>>> U >.>:7


19

P42>*>>>

. "nswe$: " Peso sales C 9CD6C;R , ROS7 C P(1>*>>>D6>..> , >.1>7 C;R C .>L

P4>>*>>>

" long computation of $e<ui$e' sales uses the following e<uation: S C P(1>*>>> T >.1>S >..> >..>S C P(1>*>>> T >.1>S >..>S , >.1>S C P(1>*>>> S C P(1>*>>>D6>..> E >.1>7 S C P4>>*>>>
20

. "nswe$: C Cu$$ent num e$ of units $e<ui$e' to ea$n the ta$get net p$ofit: V6P(>>*>>> T P4>*>>>7 U P=W ->*>>> "fte$ the automate' machine is place' into se$+ice* the num e$ of units $e<ui$e' to ea$n the ta$get net p$ofit will e: 66P(2>*>>> T P4>*>>>7 U P1(7

(3*334

Change in units: ->*>>> , (3*334 C -*--- 'ec$ease in unit sales


21

"nswe$: C C;RC 1>>L , 6-.= U 3.>7 C -2L %ES C 1*.>>*>>> U .-2

.*>>>*>>>

22

"nswe$: C Jew $ea/,e+en point: P:4.*>>> U P(-:*>>> Cu$$ent $ea/,e+en point in units: P44>*2>> U P(- --*2>> Inc$ease in units: -:*>>> , --*2>> .*2>> "lte$nati+e solution: 6P1>-*2>> U P(-7 .*2>>

23

. "nswe$: " The estimate' cost of goo's sol' C P232*>>> T >.-2SR RSum of all pe$centages fo$ +a$ia le p$o'uction costs C P232*>>> T 6P(*>>>*>>> ) >.-27 C P1*(32*>>>

24

. "nswe$: % Peso sales $e<ui$e' to ea$n 1>L of salesM 9CD6C;R E ROS7 C P-3*>>>D6>.->,>.1>7 C 1:>*>>>

25

"nswe$: " Re+ise' cont$i ution ma$gin (>*>>> ) 1.12 ) 64,171-:*>>> 9i)e' cost 61>2*>>> T 1=*(>>7 1(.*(>> Re+ise' p$ofit 1-*:>> P$io$ p$ofit -2*>>> #ec$ease in p$ofit (1*(>> "nswe$: " ;a$gin of Safety C %u'gete' sales E %$ea/e+en sales ;a$gin of Safety: P.>>*>>> E P.>*>>> P-3>*>>>

26

27

. "nswe$: % #O8 at P=>*>>> sales: Sales Va$ia le costs Total Cont$i ution ma$gin 9i)e' costs P$ofit #O8 C TC;DOP C .>*>>>D1>*>>> L inc$ease in sales ) #O8 C L inc$ease in p$ofit . ) (>L C :>L

=>*>>> 2>*>>> .>*>>> ->*>>> 1>*>>> . times

28

"nswe$: % (>>3 #O8 C (42*>>>D42*>>> -.34 Pe$centage Inc$ease in p$ofit* (>>4 C -.34 ) ->L 11>L (>>4 P$ofit C 42*>>> T642*>>> ) 1.1>7 P124*2>> "nswe$: " Peso sales 1(*>>>D6>..> E >.17 ?nit sales P.>*>>>D1> Inc$ease' units .*>>> ) 1.(2 Re+ise' cont$i ution ma$gin 2*>>> ) 6= E 37 8ess fi)e' cost Re+ise' p$ofit P.>*>>> .*>>> 2*>>> P12*>>> 1(*>>> P -*>>>

29

30

. "nswe$: % P$o0ecte' cost of sales: P:>>*>>> T 6P-*>>>*>>> ) >.327 . "nswe$: % ?nit C; C Change in P$ofit U Change in Sales C (>>*>>> U 61>>*>>> E 42*>>>7 C: 9i)e' costs C %$ea/e+en units ) ?C; 42*>>> ) : C 3>>*>>>

P(*42>*>>>

31

32

"nswe$: %

?nit cost: ;ate$ials 6P-3*>>> U (.*>>>7 8a o$ 6P2.*>>> U (.*>>>7 Va$ia le selling e)pense Va$ia le unit cost Re<ui$e' p$ofit 6(*(2> U 1*2>>7 Re<ui$e' minimum selling p$ice
33

P1.2> (.(2 >.-2 P..1> 1.2> P2.3>

. "nswe$: # Composite $atio: N: 3.>*>>> U 64(>*>>> T 3.>*>>>7 K: 4(>*>>> U 64(>*>>> T 3.>*>>>7 5eighte',"+e$age Cont$i ution ;a$gin: 6.2(=.1 X .3>7 T 6..4>2= X ..>7 %$ea/e+en sales in pesos: 62>2*::1 U >.2>2::(7 KAs peso sales at $ea/e+en P1; ) >..4>2=

.4.>2=L 2(.=.1L >.2>2::( P1*>>>*>>> P .4>*2=> 22>*>>> ->>*>>> (2>*>>>

34

"nswe$: " Sales 62>>*>>> ) 1.1>7 Va$ia le cost Cont$i ution ma$gin

C;R C (2> U 22> C .2..2L O$iginal fi)e' costs: 2>>*>>> E ->>*>>> E 12>*>>> C 2>*>>> Jew fi)e' cost C 2>*>>> ) >.:> C .>*>>> %$ea/e+en sales C .>*>>>D>..2.2 C P::*>>>
35

"nswe$: % %efo$e,ta) p$ofit 6(.*>>> U >.37 "'' fi)e' costs Total cont$i ution ma$gin

P .>*>>> (>>*>>> P(.>*>>>

Cont$i ution ma$gin pe$ unit 6P(.>*>>> U .>*>>>7 P 3.>> Va$ia le cost pe$ unit 3.>> Selling p$ice P1(.>>
36

. "nswe$: " #O8 C C;DOP C (42*>>>D42*>>> C -.34 times . "nswe$: C Peso sales : 9C U 6C;R , P$ofit ;a$gin7 C P(1>*>>> U 6>.22 , >.127 C P2(2*>>> C;R C 1>>L , .2L C 22L

37

38

. "nswe$: % C;R: Change in 9i)e' Costs U Change in %$ea/e+en Sales 4:*42> U 6=42*>>> E 42>*>>>7 >.-2 9i)e' costs efo$e an inc$ease of 4:*42>: 42>*>>> ) >.-2 (3(*2>>

The inc$ease in fi)e' costs of P4:*42> e<uals the inc$ease in cont$i ution ma$gin in o$'e$ to continue at $ea/e+en sales.
39

. "nswe$: # ?C; C 64>*>>> ) 1.(>7T6.>*>>> ) -7 4>*>>> E .>*>>> C P3.:> 9C C ?nits6?C; E p$ofit pe$ unit7 C 4>*>>>63.:> E 1.(>7 C P-=(*>>> %E? C -=(*>>>D3.:> C 24*3.4

40

. "nswe$: " ;a$gin of safety in peso sales C %u'gete' sales E %$ea/e+en sales ;a$gin of safety C P1; E P.4; P->>*>>> . "nswe$: " (>>3 Sales "'+e$tising Cost 642>>> U .37 Re<ui$e' (>>4 peso sales "nswe$: " Re+ise' 5"C; 6>.2 ) 1.2>7 T 6>.2 ) (7 O$iginal 5"C; 6>.. ) 1.2>7 T 6>.3 ) (7 Re+ise' %$ea/e+en units 1(*3>>D1.42 O$iginal %$ea/e+en units 1(*3>>D1.:> Inc$ease in $ea/e+en units 1*>>>*>>> 1(2*>>> 1*1(2*>>> 1.42 1.:> 4*(>> 4*>>> (>> P.( 12*>>> =*>>> 3*>>>

41

42

43

. "nswe$: C 5"C; C 6-> ) >.37 T 63> ) >..7 %$ea/e+en units: 3->*>>>D.( %$ea/'own: P$o'uct Stan'a$' 12*>>> ) >.3 P$o'uct #elu)e 12*>>> ) >..

44

"nswe$: % 5"C; C 6.D4 ) >..>7T6-D4 ) >.=- C P>.3(:24 %E units C 4*3>>D>.3(:24 C 1(*>=1 %au les C 1(*>=1 ) .D4 C 3*=>=

T$in/ets C 1(*>=1 ) -D4 C 2*1:(


45

"nswe$: C Total sales $e+enue pe$ composite sales: 61( ) P2.(27 T 61> ) P4.2>7 T 63 ) P1(.(27 Total +a$ia le cost pe$ composite sales: 61( ) P..:27 T 61> ) P3.=27 T 63 ) P1>.-27 Total cont$i ution ma$gin pe$ composite sales 6P(11.2> , P1:=.:>7 Composite $ea/e+en point P42*=2> U P(1.4>

P(11.2> P1:=.:> P (1.4> -*2>>

Jote: Total $ea/e+en units: -*2>> ) (: C =:*>>>


46

"nswe$: C 5"C;R C 6.3 ) ..7 T 6.. ) .127 9i)e' Costs C ((2>>> ) 1.Sales 6(=(2>> T .:>>>7 U .-

->L P (=(*2>> P1*1-2*>>>

47

. "nswe$: C ?C; C 63>*>>> ) >.427T6.2*>>> ) 1.(27 3>*>>> E .2*>>> C 3.42 9i)e' cost C 63>*>>> ) 3.427,63>*>>> ) >.427 P-3>*>>> P12>*>>>

48

. "nswe$: % %EV C 3>>*>>> 13 E 1( . "nswe$: % C;R C %efo$e Ta) P$ofit ;a$gin ;DS Ratio C 6>.>3 U >.37 U .(2 C .>L 9C C 61(>*>>> ) ..>7 E 61(>*>>> ) .1>7 C P-3*>>> "nnual 9C C -3*>>> ) 1(

49

P.-(*>>>

50

"nswe$: " P$ofit ;a$gin C (>L ) 1>L C (L P$ofit C .>>*>>> ) (L C :*>>> 9i)e' Costs C C; , P$ofit 9i)e' Costs C 6.>>*>>> ) (>L7 E :*>>> "nswe$: " Re+ise' ?C; C (2 E 1=.:> E 62 ) >.>:7 %E? C .3:*>>>D..:>

P4(*>>> P..:> =4*2>>

51

52

. "nswe$: " The Company p$o0ecte' &e$o p$ofit ase' on &e$o a'+e$tising e)pen'itu$e. "''itional C; 6->*>>> units O 1>7 P->>*>>>

8ess: Re<ui$e' p$ofit ;a)imum a'+e$tising cost


53

(>>*>>> P1>>*>>> 3*42>

. .

"nswe$: % Cash,flow $ea/e+en: (4>*>>> U 61>>,3>7 "nswe$: " C;R C %efo$e,ta) $etu$n on salesD;SR C 6>.>3 >.3>7 >.(2 %ES C -(>*>>> >..> Sales C :>>*>>> >.42

54

>..> o$ .>L P :>>*>>> P1*>33*334

55

. "nswe$: % The easie$ calculation of sales +alue of 3>*>>> units is to 'i+i'e the total annual costs y total cost $atio of :2L 61>>L , 12L7. Sales $e<ui$e' C P1*=1(*2>>D>.:2 P(*(2>*>>> ?nit selling p$ice C (*(2>*>>>D3>*>>> P-4.2> . "nswe$: # In'iffe$ence Point C Change in 9i)e' Cost U Change in Va$ia le Cost Inc$ease in fi)e' cost: ( O 12*>>> P->*>>> #ec$ease in +a$ia le cost 612L , 4.2L7 :> P3 In'iffe$ence point: ->*>>> U 3 2*>>> units

56

57

"nswe$: " 5"C; C 6>.(2 ) 27T6>.42 ) 47 C 3.2> %E? C =42*>>>D3.2> C 12>*>>>

58

. "nswe$: % The a''itional fi)e' costs of P1*(>>*>>> shoul' e fully co+e$e' y the same amount as a''itional sales 6also a''itional cont$i ution ma$gin7 th$ough an inc$ease in selling p$ice. Inc$ease' p$ice P1(> T61.(>;D:>*>>>7 P 1-2

59

"nswe$: " %$ea/e+en point: Ol' policy: P:>*>>>D4 Jew policy: P1>>*>>>D: Inc$ease in %$ea/e+en point

11*.(= 1(*2>> 1*>41

60

. "nswe$: % 5"C;R C 6.. ) .(7 T 6.2 ).-7 T 6.. ).27 C >..%ES C 1*(=>*>>> U ..- C P-*>>>*>>> . "nswe$: " Cont$i ution ma$gin 9i)e' costs 1(*>>> ) 61*2>> E =>>7 P4*(>>*>>> -*3>>*>>>

61

Ope$ating p$ofit #O8: 4.(D-.3 C ( times


62

P-*3>>*>>>

. "nswe$: % The in'iffe$ence point $efe$s to the le+el of sales that woul' gi+e e<ual p$ofit o$ total costs fo$ the two alte$nati+es 11.->) T 3>*>>> C :.=>) T :(*2>> (..>) C ((*2>> ) C =*-42 . "nswe$: C Va$ia le cost $atio C (.(2D4.2> C ->L Va$ia le cost ne)t yea$ C (.(2 ) 1.---- C Selling p$ice $e<ui$e' C -D>.-> C P1> . "nswe$: % Total 9i)e' Cost Ope$ating P$ofit Total Cont$i ution ;a$gin Selling p$ice Cont$i ution ma$gin pe$ unit 61:>*>>> U 1(*>>>7 ?nit +a$ia le cost P12.*>>> (3*>>> P1:>*>>> P (> 12 P 2 3>>*>>> 1(>*>>> 4(>*>>> 1.:> P..2>

63

64

65

"nswe$: C 9i)e' costs Ope$ating p$ofit Cont$i ution ma$gin ?nit cont$i ution ma$gin 4(>*>>> U .>>*>>> Selling p$ice 61.:> U >..>7

66

. "nswe$: % Cont$i ution ma$gin pe$ machine hou$: Cont$i ution ma$gin pe$ unit ) Jo. of units p$o'uce' pe$ machine hou$s P$o'uct " P(> ) 3 P1(> P$o'uct % P13 ) : P1(: . "nswe$: " ..>*>>> T 611>*.>>D>.317 C . E (.4> .:>*>>> P(.4>

67

Re+ise' +a$ia le cost: P(..> T 6P(.>> ) >.127


68

. "nswe$: # VC Ratio -42*>>D3(2*>>> C 3>L VC D unit -42*>>>D(2*>>> C P12 Jew VC C 12 T 6..2> E (.2>7C P14 SP C 14D>.3 C P(:.--

69

. "nswe$: % The le+el of sales that woul' gi+e e<ual costs: >.>3S C 6.> ) (.*>>>7T >.>(S >.>.S C =3>*>>> S C (.; . "nswe$: C "''itional fi)e' costDwee/: -1*(>>D2( C 3>> "''itional wee/ly sales to co+e$ a''itional fi)e' cost: 3>>D>.(2 C (*.>> Total Sun'ayAs sales 6whe$e (*.>> $ep$esents (2L7: (*.>>D>.(2 C =*3>> "lte$nati+e solution: 3>> C >.(2 ) >.(2S 3>> C >.>3(2S S C =*3>>

70

71

. "nswe$: " Jew %ES C :4-*3>>D1.> C 3*(.> Jew 9C C :.>*>>> ) 1.>. C :4-*3>> Jew C; C (2> E 1>> E61>> ) >.1>7 C 1.> Ol' %ES C :.>*>>>D12> C 2*3>> Inc$ease in %E? C 3*(.> E 2*3>> C 3.> . "nswe$: C Composite C; C .> T 6( ) (>7 C :> Composite %E C =1>*>>>D:> C 11*-42

72

73

. "nswe$: C Re<ui$e' new sales C (>>2 sales T 6P11(*2>>DC;R7 C P2; T6P11(*2>>D>..27 P2.(2; C;R C 6(2> E 1-4.2>7D(2> .2L

74

. "nswe$: " %$ea/e+en units C :>4*:.> U 2.-> 12(*.(Jew C;Dunit C (> E 1..4> C 2.-> Jew +a$ia le cost: 61. T 61. ).2 ) >.1>7 C 1..4> Jew 9C C 4=(*>>> T 64=(*>>> ).(>).1>7 C :>4*:.> . "nswe$: " In'iffe$ence point C #ec$ease in 9i)e' Cost Inc$ease in Va$ia le Cost

75

C :>*>>>D>.>2 C P1.3>;
76

. "nswe$: # P$ocessing hou$s pe$ unit: NK E 4: >.42D1 C >.42 o$ .2 minutes %# E .: >.(>D1 C >.(> o$ 1( minutes "''itional cont$i ution ma$gin using 1>>*>>> hou$s: NK E 4: 1>>*>>>D>.42 ) P1 C P1--*--%# E .: 1>>*>>>D>.(> ) P>.2> C P(2>*>>>

77

. "nswe$: % ?nits sol' to ea$n P1;: 61*>>>*>>> T 1*>>>*>>>7 D 2.(2 C -:>*=2( The use of P1; fi)e' costs will $e<ui$e -:>*=2( units which a$e within the fi$st $ange.

78

. "nswe$: " 9i)e' costs C 4=(*>>> T64=(*>>> ) >.(> ) >.1>7 C :>4*:.> ?C; C (> E 1. E61. ) >.2> ) >.1>7C 2.-> Computation C :>4*:.>D2.->

79

"nswe$: " Cost of one .Efoot piece of metal . ) 1-.3> 8ess p$ocee's f$om sale of sc$ap 3.. D 13 ) : Jet cost of one ., foot piece of metal Jet cost pe$ ounce P 21.(> U (2.3 o& Output pe$ one .,foot piece of metal 8a$ge . ) .o& Small . ) (..o& Sc$ap Total o&

2...> -.(> 21.(> P(.>> 13.>> =.3> 3..> -(.>>

80

"nswe$: % ;ate$ial cost pe$ unit 8a$ge: . ) P( ) 1.: Small (.. ) P( ) 1.42 "nswe$: " ?nit C; 8a$ge: (=.>> E 6:.2 ) 1.:7 C 1-.4> Small: 1..>> E 6 2.1 ) 1.427 C 2.>42 5"C; C 61-.4> T 2.>427 U ( C =.-:42 %$ea/e+en point C :3>*>>>D=.-:42 C =1*311

P1...> P :..>

81

82

"nswe$: C C; Dunit .>2*>>> U 1*:>> %EV C (.4*2>> U ((2

((2 1*1>> units

83

. "nswe$: " Ope$ating P$ofit: 6(*1>> ) ((27 E (.4*2>> C P((2*>>> "fte$Eta) p$ofit: ((2*>>> ) 3>L C 1-2*>>> . "nswe$: C Cont$i ution ma$gin Regula$ sales 1*2>> ) ((2 Special sale 12>> ) 142 Total Cont$i ution 9i)e' costs Ta)a le income Income ta) Jet income

84

--4*2>> (3(*2>> 3>>*>>> (.4*2>> -2(*2>> 1.1*>>> (11*2>>

85

. "nswe$: " "''itional 9CD Jew ?nit C; 31*2>> U (>> C ->4.2 tons "nswe$: # Jew SP C 2>> ) .=>.2>1>>LJew VC (42 T .>-124>LJew C;1-2->L Sales $e<ui$e':W 69i)e' costs T %efo$e Ta) p$ofit7 U C;R (.4*2>> T 6=.*2>> U 3>7 P1*-2>*>>> . "nswe$: " ?nit sales $e<ui$e': 6-13*:>> T .>*>>>7 U (4.(> C 1-*11: pai$s ?nit Cont$i ution ;a$gin* Tou$ing: :>.>> E 2(.:> P(4.(> . "nswe$: " In'iffe$ence point in peso sales: >..S E P-3=*3>> C >.-.S E P-13*:>> >.>3S C 2(*:>> S C P::>*>>> . "nswe$: # %$ea/e+en sales* ;ountainee$ing: -3=*3>> U -2.(> C Re<ui$e' cont$i ution ma$gin E Tou$ing -13*:>> U 1>*2>> C P$esent cont$i ution ma$gin E Tou$ing Re<ui$e' 'ec$ease in +a$ia le cost pe$ unit "nswe$: " Jew $ea/e+en point: -.:*.:> U -(..: .

86

87

88

89

1>*2>> ->.14 (4.(> (.=4 1>*4->

90

Jew ?C;* Tou$ing: (4.(> T 62(.:> ) >.17 Jew 9i)e' costs: -13*:>> ) 1.1
91

C -(..: C -.:*.:>

. "nswe$: C The in'iffe$ence point in num e$ of pai$s is 3*3>>. Inasmuch that the e)pecte' le+el is 1(*>>> units* it is ette$ to sell ;ountainee$ing ecause it has high le+e$age than the tou$ing mo'el. Once the in'iffe$ence point is e)cee'e'* the one with the highe$ cont$i ution ma$gin 6le+e$age7 has the a'+antage o+e$ the one with the lowe$ cont$i ution ma$gin. . "nswe$: % 9i)e' Costs: O+e$hea' ;a$/eting "'minist$ati+e Inte$est Total Cont$i ution ma$gin $atio: 1 , V64*(>>*>>> T (*.>>*>>>7D13;W C .>L %$ea/e+en ne)t yea$ with no change in commission: .*:>>*>>> U >.. C P1(*>>>*>>>

92

(*-.>*>>> 1(>*>>> 1*:>>*>>> 2.>*>>> .*:>>*>>>

93

. "nswe$: C If the commission $ate is inc$ease' y 2L* the cont$i ution ma$gin is 'ec$ease' y 2L o$ a new cont$i ution ma$gin $atio of -2L %$ea/e+en sales ne)t yea$. .*:>>*>>> D >.-2 C P1-*41.*(:3

94

"nswe$: " 9i)e' cost un'e$ 12L commission plan Inc$ease in 9i)e' cost #ec$ease in au'it fee Inc$ease' fi)e' costs

.*:>>*>>> (*.>>*>>> 6 42*>>>7 4*1(2*>>>

The commission $ate of 4.2L* instea' of 12L will $aise the cont$i ution ma$gin $atio to .4.2L 6.>L T 4.2L7. Re+ise' $ea/e+en sales 4*1(2*>>> D ..42 C P 12;
95

. "nswe$: " Re<ui$e' sales* with (>L commission an' p$ofit ta$get of P1*1(>*>>>: 6P.*:>>*>>> T 1*3>>*>>>7 U .-2 C 1:*(:2*41. . "nswe$: # The <uestion as/e' fo$ is the in'iffe$ence point. The peso sales $e<ui$e' to p$o'uce e<ual income can e easily calculate' y 'i+i'ing the net inc$ease in fi)e' costs y the inc$ease in cont$i ution ma$gin $atio: #iffe$ence in C;R C -2L , .4.2 C 1(.2L

96

Inc$ease in fi)e' costs C (*.>>*>>> E 42*>>> In'iffe$ence Point: (*-(2*>>> U >.1(2 "lte$nati+e Solution: .-22 E .*:>>*>>> C ..42S E 4*1(2*>>> .1(2S C (*-(2*>>> S C P1:*3;
97

P(*-(2*>>> P1:.3;

"nswe$: C %illing cha$ge pe$ patient 'ay Va$ia le cost pe$ patient 'ay Cont$i ution ma$gin Jum e$ of patient 'ays fo$ the yea$: P1>*343*(2>D32> Va$ia le cost pe$ patient 'ay: P(*.3-*32>U13*.(2

P32> 12> P2>> 13*.(2 P12> P.*1=>*>>> 4(>*>>> P.*=1>*>>>

98

"nswe$: % 9i)e' costs fo$ e' capacity Sala$y* supe$+iso$y nu$se Total

Jum e$ of patient 'ays $e<ui$e' to co+e$ fi)e' costs fo$ e' capacity an' sala$ies of supe$+iso$y nu$se .*=1>*>>> U 2>> =*:(>
99

. "nswe$: % In sol+ing fo$ the $ea/e+en le+el whe$e the$e a$e step fi)e' costs* the logical app$oach is to test the +ali'ity of the $anges of acti+ities. 9i$st Range: 9i)e' costs ase' on capacity.*1=>*>>> Sala$ies:"i'es (1 ) 2>*>>>1*>2>*>>>Ju$ses 11 ) 1->*>>>1*.->*>>>Supe$+iso$ . ) 1:>*>>> 4(>*>>>-*(>>*>>>Total4*-=>*>>> %$ea/e+en calculation: 4*-=>*>>> U 2>> 1.*4:> The calculate' $ea/e+en point of 1.*4:> is in+ali' ecause the num e$ falls un'e$ the secon' $ange whe$ein the amount of fi)e' costs that ha' een use' a$e not $ele+ant to that $ange. Secon' Range 69inal calculation7: Total fi)e' cost* lowest $ange "''itional fi)e' cost: 1 ai'e 1 nu$se Total %$ea/e+en in patient 'ays: 4*24>*>>> U 2>> 4*-=>*>>> 2>*>>> 1->*>>> 4*24>*>>> 12*1.>

100

."nswe$: "

"''itional $e+enues if (> e's a$e $ente': => 'ays O 14 patient 'ays ) 32>
101

==.*2>> ase' on a''itional patient 'ays fo$ => P((=*2>>

."nswe$: % Inc$ease in +a$ia le cost shoul' 'ays at P12> pe$ patient 'ay. 14 e's ) => 'ays ) P12>

e calculate'

102

."nswe$: " The inc$ease in fi)e' cost ase' on e' capacity: P.*1=>*(2> U 3> ) (> P1*-=3*42> ."nswe$: " Ta) shiel' in non cash e)penses .>L ) :>>*>>> ."nswe$: " %$ea/e+en in num e$ of pi&&as 6t$a'itional7 .*2-4*2>>D6(2> E 427 ?nits sol': P=*2>>*>>>D(2> ?nit +a$ia le cost 6cost of foo'7 (*:2>*>>> U -:*>>> 9i)e' cost C 4*-:4*2>> E (*:2>*>>>

103

C P-(>*>>>

104

C (2*=(= C -:*>>> C P42.>> P.*2-4*2>>

105

."nswe$: " Cash 9low %$ea/e+en: -*.14*2>> U 142 Total fi)e' cost: 8ess: Joncash fi)e' cost Ta) shiel' on noncash 9i)e' costs 9i)e' cash flow 6 6

1=*2(= P.*2-4*2>> :>>*>>>7 -(>*>>>7 P-*.14*2>>

106

."nswe$: " %$ea/e+en sales ase' on (>L commission: P1>>*>>> U >.(> P2>>*>>> Cont$i ution ma$gin $atio: 61>; E :;7 U 1>; (>L

107

."nswe$: # %$ea/e+en sales if the company employs its own salesmen: 6P-2>*>>> U >.-27 P1*>>>*>>> The new cont$i ution ma$gin $atio is 6(>L T 12L7 9i)e' costs a$e e)pecte' to e P-2>*>>> -2L

61>>*>>> T =>*>>> T 13>*>>>7


108

."nswe$: # The $e<ui$e' peso sales to ea$n net income of P1*-->*>>> if the commission is $aise' to (2L: 6P1>>*>>> T P1*=>>*>>>7 U >.12 P1-*---*---

109

."nswe$: % The in'iffe$ence point* the le+el of sales whe$e the alte$nati+es will ha+e e<ual p$ofits: .12S, 1>>*>>> C .-2S E -2>*>>> (S C (2>*>>> S C P1*(2>*>>> ."nswe$: C The p$o lem illust$ates a calculation of +a$ia le an' step fi)e' cost. Cont$i ution ;a$gin pe$ ?nit: 3>*>>> o$ less 6P-> E P1(.2>7 ?nits a o+e 3>*>>> 6P-> E P1..>>7 Total cont$i ution ma$gin f$om the fi$st 3>*>>> 63>*>>> ) P14.2>7 8et N C Jum e$ of units a o+e 13*>>> > C (:>*>>> T 13N ,-3>*>>> N C :>*>>> U 13 N C 2*>>> units %$ea/e+en units: 13*>>> T 2*>>> "lte$nati+e Solution: Total fi)e' costs 8ess Cont$i ution ma$gin f$om 3>*>>> units Remaining fi)e' costs to e co+e$e' y a''itional units* each with C; of P13 %$ea/e+en units: 13*>>> T 6:>*>>> U 137 P-3>*>>> (:>*>>> P :>*>>> (1*>>> (1*>>> $ea/e+en point fo$ a company with a step

110

P14.2> P13.>> P(:>*>>>

111

."nswe$: % The units that will gene$ate the 'esi$e' p$ofit of P12>*>>> fo$ the company* cont$i utes P13 each. These units a$e the e)cess of (1*>>> units to $ea/e+en. ?nit sales $e<ui$e': (1*>>> T 612>*>>> U P137 ->*-42

112

."nswe$: % The onus plan of P1.>> pe$ unit on sales ma'e in e)cess of $ea/e+en point 6(1*>>> units7 will necessa$ily 'ec$ease the cont$i ution ma$gin to P12.

The 'esi$e' p$ofit ase' on fi)e' cost: (2L ) P-3>*>>> P=>*>>> ?nits $e<ui$e': (1*>>> T 6P=>*>>> U 127
113

(4*>>>

."nswe$: % In 'ete$mining the minimum selling p$ice fo$ the :*>>> units shoul' consi'e$ the inc$ease' +a$ia le cost pe$ unit an' the a''itional fi)e' cost. "ny cost an' losses on the fi$st 13*>>> units a$e i$$ele+ant: Va$ia le cost pe$ unit P1..>> "''itional fi)e' cost pe$ unit 61>*>>> U :*>>>7 1.(2 ;inimum selling p$ice P12.(2 ."nswe$: " The net income fo$ the month if the new e<uipment is ac<ui$e': Cont$i ution ma$gin ase' on the p$esent systemP1-2*>>> "'' inc$ease in cont$i ution ma$gin 'ue to 'ec$ease in +a$ia le cost 612*>>> ) =7 1-2*>>> Inc$ease' cont$i ution ma$gin (4>*>>> 8ess Inc$ease' fi)e' costs ((2*>>> Jet income P .2*>>>

114

115

."nswe$: % The inc$ease in $ea/e+en point woul' e: 61(*2>> E 1>*>>>7 %$ea/e+en* p$esent 6P=>*>>> U P=7 %$ea/e+en* p$opose' 6P((2*>>> U P1:7 ."nswe$: C The 'eg$ee of ope$ating le+e$age 6#O87 'u$ing the month that the new e<uipment woul' e use': 6(4>*>>> U .2*>>>7 6Please see solution fo$ Jo. =.7

(*2>> units 1>*>>> units 1(*2>> units

116

3N

117

."nswe$: " %$ea/e+en units if the$e is a change in ma$/eting metho': P.:*>>> U 3 :*>>> units Cont$i ution ma$gin pe$ unit: 69i)e' cost T p$ofit7 U ?nits sol' 6P.:*>>> T P3>*>>>7 U 1:*>>> units P3.>>

118

."nswe$: % The pe$centage inc$ease in p$ofit can e calculate' y multiplying the 'eg$ee of ope$ating le+e$age 6#O87 y the pe$centage inc$ease in sales 'u$ing the secon' month.

The sales inc$ease' y ->L 6P.*2>> U P12*>>>7 an' the$efo$e the p$ofit pe$centage inc$ease' y 1:>L 63 ) ->L7. The e)pecte' p$ofit 'u$ing the ne)t month woul' e: P.2*>>> T 6P.2*>>> ) 1.:7
119

P1(3*>>>

."nswe$: C %$ea/e+en ?nits: 9i)e' Costs U ?nit Cont$i ution ;a$gin P3*>>>*>>> U ->> ."nswe$: % Cont$i ution ma$gin 6P1:*>>> ) ->>7 8ess 9i)e' costs Jet loss

(>*>>> pai$s P2*.>>*>>> 3*>>>*>>> P6 3>>*>>>7

120

121

."nswe$: " The $ea/e+en le+el fo$ the sales outlet is e)pecte' to $ise ecause of a''itional commission* a +a$ia le cost item* an' such a commission is eing pai' fo$ all pai$s of shoes sol'. %$ea/e+en in pai$s of shoes: 3*>>>*>>> U 6->> E 427 (3*334 pai$s

122

."nswe$: # Though an a''itional commission is pai' on pai$s of shoes sol'* the $ea/e+en point is not affecte' an' shall $emain at (>*>>> ecause the a''itional commission applies only to num e$ of pai$s of shoes sol' in e)cess of $ea/e+en le+el. The p$ofit cont$i ution y the 2*>>> pai$s is ase' on $e'uce' cont$i ution ma$gin pe$ pai$. P$ofit: 2*>>> ) 6->> E 2>7 "lte$nati+e Solution: Sales 6(2*>>> ) P:>>7 Va$ia le costs 6(.*>>> ) P2>>7 Total cont$i ution ma$gin 9i)e' costs P$ofit P1*(2>*>>> P(>*>>>*>>> 1(*42>*>>> 4*(2>*>>> 3>>*>>> P 1*(2>*>>>

123

."nswe$: " %ecause the $ea/e+en le+el is unchange'* the calculation of the num e$ of pai$s to ea$n P=>>*>>> is simple. The amount of the 'esi$e' p$ofit will e cont$i ute' y the num e$ of pai$s of shoes in e)cess of $ea/e+en* each cont$i uting P(2>. (>*>>> T6P=>>*>>> U (2>7 (-*3>> pai$s

124

."nswe$: % ->>N E P3*>>>*>>> 1.>N C P(*1.(*>>>

C ..>N E P:*1.(*>>>

N C 12*->> pai$s
125

."nswe$: " %$ea/e+en peso sales: P1*:>>*>>> U >.C;R C P1*422*>>> U P2*:2>*>>> ->L

P3*>>>*>>>

126

."nswe$: % "''itional cont$i ution ma$gin P:>>*>>> ) >.-> P(.>*>>> "''itional fi)e' cost 13>*>>> Inc$ease in p$ofit P :>*>>> ."nswe$: % Sales -=*>>> ) P(4> Va$ia le cost -=*>>> ) P(1> Cont$i ution ma$gin 9i)e' cost Jet loss ."nswe$: % O$iginal unit cont$i ution ma$gin 61*422*>>> U 1=*2>>7 8ess inc$ease in pac/aging cost Jew ?nit cont$i ution ma$gin ?nit sales $e<ui$e': 6P1*:>>*>>> T P=4*2>>7 U P:(.2> P1>*2->*>>> :*1=>*>>> (* -.>*>>> (*.>>*>>> P6 3>*>>>7

127

128

P=>.>> 4.2> P:(.2> (-*>>>

129

."nswe$: " %$ea/e+en units* "utomate' 6P1*:>>*>>> T P4(>*>>>7 U 6P=> T P->7 P(*2(>*>>> U => %$ea/e+en units* P$esent 6P1*:>>*>>> U =>7 Inc$ease in $ea/e+en units

(1*>>> (>*>>> 1*>>>

130

."nswe$: C The computation of the in'iffe$ence point fo$ the two p$ocesses can e 'ete$mine' y 'i+i'ing the inc$ease in fi)e' costs y the 'ec$ease in +a$ia le cost pe$ unit ecause the selling p$ice was unchange'. In'iffe$ence Point: P4(>*>>> U -> (.*>>>

131

."nswe$: % If the le+el of sales is highe$ than the in'iffe$ence point* the one with highe$ le+e$age* i.e.* highe$ fi)e' costs an' lowe$ unit +a$ia le cost* will p$o+i'e highe$ income. The automate' p$ocess has the highe$ le+e$age an' the$efo$e* it has highe$ income: #iffe$ence in income: 6(3*>>> E (.*>>>7-> P3>*>>>

132

."nswe$: C %$ea/e+en units C 9i)e' costs ?nit cont$i ution ma$gin P1>>*>>> 6P.>> E P(>>7

2>> units
133

."nswe$: # Step 1: Compute efo$e,ta) p$ofit: P(.>*>>> 61.> E >..7 ?nits sales $e<ui$e' to ea$n efo$e,ta) p$ofit: 6P1>>*>>> T P.>>*>>>>7 P(>> "lte$nati+e Solution: P$ofit C Sales E Va$ia le costs E 9i)e' costs P.>>*>>> C P.>>N E P(>>N E P1>>*>>> P2>>*>>> C P(>>N N C (*2>> units

P.>>*>>> (*2>> units

134

."nswe$: C Re+enue 6-2> ) P.>>7 T 6(*4>> ) P-3>7 Va$ia le costs 6-*>2> ) P(>>7 Cont$i ution ma$gin 9i)e' e)penses Ope$ating income Income ta) Jet income

P1*11(*>>> 31>*>>> 2>(*>>> 1>>*>>> P .>(*>>> 13>*:>> P (.1*(>>

135

."nswe$: " Re+enue 6-2> ) P.>>7 T 6(*(>> ) P-4>7 P =2.*>>> Va$ia le costs 6-2> ) P(>>7 T 6(*(>> ) P1427 .22*>>> Cont$i ution ma$gin .==*>>> 9i)e' e)penses 1>>*>>> Ope$ating income -==*>>> Income ta) 12=*3>> Jet income P (-=*.>> ."nswe$: % Re+enue 6-2> ) P.>>7 T 6(*>>> ) P-:>7 Va$ia le costs 6(*-2> ) P(>>7 Cont$i ution ma$gin 9i)e' costs Ope$ating p$ofit Income ta) Jet income P =>>*>>> .4>*>>> P .->*>>> =>*>>> -.>*>>> 1-3*>>> P (>.*>>>

136

137

."nswe$: # %efo$e ta) p$ofit o 0ecti+e 6(.>*>>> U >.37 P.>>*>>> 9i)e' costs 1>>*>>> Total cont$i ution ma$gin $e<ui$e' 2>>*>>> 8ess cont$i ution ma$gin ma'e on units sol' Fanua$y E ;ay 6-2> ) (>>7 4>*>>> "''itional cont$i ution ma$gin still nee'e' P.->*>>> "''itional cont$i ution ma$gin f$om (*2>> units 6(*2>> ) P1427 P.-4*2>>

8ess

a''itional

cont$i ution

ma$gin

;a)imum a'+e$tising cost

$e<ui$e' to meet .->*>>> P 4*2>>

p$ofit

o 0ecti+e

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