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ae alnlidsy » 250 deye] Yoon,
id. Processing Tima | yo. of machings
Product Demantl :
= ant Pon Unit (hn) { raqpined -
\ hoo &
2 300 3 |
2. 400 2 :
fon Angle machine > a dey » 250 498 fnns = 200° hod geo
No: of hr for product } 2 koors = 2000 has
No: of hn for product 2 = Borg = 2460 His
= \4o0 Wns
Neo of hn edfes product a ee
Total has rod fad moduekS 2 20004 2HOO + |4OO
raped pets ioe
Total Pxocssin time
Single machine wonbieg Wns
No ef machines required =
ey ceOOm= onde
Ooo o
3 Machines aro soquirad.
Payback Hin 4 Time wher the profit saluans equal to the
total investrnant.
fai Anveshwent = Ficooo . Befit por yor = Zlooo
Regt back fine = EE = 10 years '
i Se ead dooo$ g eats is Sof/Yean.
eee neem oo Cl
“dd Nord 5008 /tous. h ss
Areps & be pail plamning
estimate the fubwe domand .
2 Evaluate the enisting sesoureos.
© Adentity the oltematives.
Analy sis
+ Finaunes = —_————”™S
© Establish the altemotives
© Tmplemant
pablo ronractlsel Geen ieated wart a) tere
: ky Z Worter covt
aes capacity Serer erence cont.
e Too hess coy a LU Bolental progit Loss
customer loss
Best Operating fave P
ak pul Quakly Cont
small
Mediuw
a ‘ Facilihes
Ow \
ss | Rarer Bask operchi cat oes
te (eal ON eat opaaig
ia pect 0 grec fei Ee
Output pred ickecl Conits)
() Mone. demand | Demand 7 capaalyl
wo oulsousen’ a
= Over Mud ncnoase preduckion 4
> Baventosy useage
2 Wining,
? Salo eanag 5 __——
ablish the altematives
7 (v) tess Demancl fi Demand = 8G Qo0o °
1B Feb 38418 =684 = TOO °
YN Med ee ¥2I 800
2\ Rem Dee
15°00
a med Ens
oe einal \Voo Units short
fe 6200-4112.
seer4=hy 6200 = laee.
Total Jepour chesges fer 41> units = Q8xan2 = 8 37.646
Total Bubcartrceling ace for Weak units = froxiaee = ae
Total pro duction cost = Lobour chosgest Sibeotanceg id
$ 52576
—
Gare Cose S AWLUnteaDoy cles
5 Faaigenerate Unis fe) Cra
Produckon Month led a Stoaley
ee Mite
a _ Be ZY —- BAw2d = 100
ae Boo
2\
2) Aph. tee. 20 9 \So0
wk 68 \500
nee No ss
To oy \\oO,
we ¢
Face io
ee
» W300 y+ !3xb0o
F
‘cama ales)
= sai 300 | "nab
PM ELO cr
' eves
ree f
= eee ee eee et
a Wor! \ (eet ee)
\ , \ 1 iu
de i
tr Feb ‘ Mead
Terk production
>
Rph. May Tune
we = $8 x 6200 = $4200
ss cost © = ¥ (19 +300 = J4ooo
resoby wst = § (241413) 2600 = 4X00
Toto cask produchon cost = $63,800
Expected Pemand | fradachion Day!
8oD 20
550 a)
FOO Qn
44° 23
250 20
aes
o6
hoya ° Uo | Revel_prostuchion — option with aug. monthly bora cash,
= Papuan Iabor wanes = 46/hn res
Overtime labor wages = $e }nn. ol le
Smventory cheggas = $s/umit bwonth re
Sising Chagos = Boof [unit. Pa
Find chaygas = coo $ nit 2
Sevel = ee = ho
Sebsontanching cheages = $io unit.
Time ko produce | unit = 1-6 L-hours
Cont of Producing 1 unit = $5[hrx Le-Lhours = Je funit.
() Total units proctucad = 4ox 106 = 4290 =
=
CRS appar ty
> Vemand
ie career
aS
“Transportation Linge Programmi
. Py sical Aistonce f Ye product.
Postinedion
Dy Panes Oy Sly
7g Problem [Ler]
* Objective «
To minimize cost
ippieg ood s prom one,
i \ Gate Cathe
Toes auch of a. Rhot
2 " yoods 4 ww ae a
i jl a2 wek and ever
Ahiyping ocalion ebesches
Fra SI within “its cape
Demand |
* Feasibile Bro\uiton > All) alubiensease neh: nacalive:
‘blo Aulution —> tio: 4 Alea niet ‘
‘ong = WW
BOE ee rue ation aceon ae pean
. “> Trdepondent Neelene ") PrP Dy Py_ Supply Trial Soluti
‘ Fa) sels ep ay te, | Takai Sotihen
° Ai Sj 2 42°), NonhWaske Corner ule,
P ‘To 8S] 40] oo , Soo cee
. eras 6 4 BAO A Naver inie pe eATY coma,
5 25
e 5 ee eel bey y
) - 5 total = 5x20 4 2%30 46435 +4tho
Demand 2 x A NT | > 4Be60 + 15425
) o = 100 4604210 41604120
+ 345
= lore
' Supply
As — Minimum scosk of each row .
x 5rho
16 20 Zelol = Tete +8435 x 2840 *
£5%6 + 84x25
erin
Minimum coo ef gach column
Zioka\ = 5420+ 8412+ HHO +
Ou\ Fe SEO% 1042 5
= 0
ar 4. teast Lost Method | Matrix Mininua Method.
pi D2 03 PA Supply painimum cost from all wnsknin.
Fo
A
Lipshal =
- mon thal =
FB. 3 |x xo 5 |
cocks nes |
meow OL 4
} ° ; f
Renality Method |
> Method @) Unit cost
5. Vogels Approrci mesrio
Maximum unite in
ot anehity
aut ecluserrn val
; va! 3S As a\
S S \0
\ lie
a 2 Gal
tn : \ 1900 units
unit S
D po00 units
3500 @ ti ;
we aN
Us joo units.
v D.
it nae on NweR :
Le pe arene
Q Ze 1g00 ¥8 +5004 6-41S00# 4 +1000" 4
2500 , ,
os Nie ee
Qee5 1080 i)
1900, 750
UiUaeeS|
G o
q 2006 2p Riis
a lool Z= 2000; f
a oy2500 *6 + ISOOXIO + (000 nG é
Asoo” 2eg O00 = S000
° 10 ae
22
27 500 2.CMM -
so0'| 200¢ =
al i) Z = 1S00x8 + 2000x445
500)) 2500.20. cae
1906 J ieee
cos 3
ae = 29500
2
D3
~l8| 2000 505 4, mmm
eB] 250009 27 1880x8 + 2a00 x4 + SLOxIQe 2
Logs = 29500
Yo
Ss. VAm
a | D2 Zz 150% § 4.2000¥ 4
Ba) } *Sooxt9
= 21500
— Noath west donner ule.
Ries ome
Z = 260r3 4 50x) +5006
G
Q +007 5-* 300K SI Z00 *D
= 4kO0O
—
Toene son econ AONE eS
0 .3e5 300 © ‘B50
QO
2. Row. minima makhoo)
Z = sovr\+ g5042 + 1508S
GOES +TTOXSHDOO CD
Zz 260x2+4 BOoK|+5OHS
A ROO*Z 4 150" + SOY Z 4. Feast toot _Mathod Maknix Minima Matvod
NGOs as
Das Sepily
D, Wao Z= Boor) 45064 25042.
7 * + 100454 300 «34200«2
bed 150,
D 2° = 9900
z, 4
Ses
Ds soo 0
vp. i BI HOT 200°
emma. 255 2 Wes °
5. \egal's Appsoaciaabin moHrod
2S 4 HOLS + DIOAB* 200% _ \, North west commer gule
(pemenes
: J nies
alos eal
{soo 200° ooo |X 2009
peli Anpesnstion_nte |
Oy Y Da
Loa @ ala
eso | 4 (eM
es ae © ee,
Be a a t
ee eee a ee
po ee eee a
Z = word £2000 +4 + {ooo 8A 4500%O =
opkimization
a \ ie :
cos jodie collocation = MeN)
AN Dllocatiens should be independent.
ping stene Cit & rail, makhod )
od distribution (mod) Methed /U-¥ wthed ) O-V mathod
é Develop cost als 4
2. Clewladate Vi, Ui bg
Ny =0.
consid arin
Se Develop Viet; mobnre
for non - Mocatect calls.
Seal matnie.
Sit gay call is
bang ve vole»
She Solution is
= 3
Al
Nua 20 9 Uys 2.
UaWs=5 > Va=3
Us al 9 bje-2 © )
4 St | ho |
\
'o 20) ae |
Spree 2 so! w\\-
No ¢ aduitons = mmn-t= Sth-L=G
Cost call {er allocationed calls.
= Xx =
Wye We Var 2tVae 4 Wang 284 \ ee a 4 a
penta bys ho-biis=
os 10
Wu 219 ) vara
Ny 08 BA
UIs ae ko Vu eyo-9=-9
Us aN 260 \
us-7A eel Ur = bOsM=EY Soe
Cask Call 2 UN velues
MNS Qo Mae fbVaratt wyt=3 UN 28 | adese
ie rca Ur= 35416 = 5)
+20 | 20 \t Beant F n= 35416 = |
: Va= 1830 =-3 Urs = Ke j
Ue s) [ss ko y= W420 Me asta i
Gy Wa = 95. 1
Uae 2543228
Vane 12 \
i Viv ie2e=-Ie
NWu-Vi mabrine for non- allocated calls |
Mo |
oa
©
c
Sub
f
= A\ positive.
aed \,
Mu ss optimal aillocahon ,
pi _b2 3 DA sony MP Aieo Ausf Nae talus >
Ua <2
4 Uy220
Nee
Gal =i
My = \F-20=-3
Yana = 25
Oe Vevelop aN: no brie Us = 2543-25
fpr non- allocated els. Noes =12
Nv2 12-28 =-16
M\ _
aS \. Gosh Call fp» allocated\ calls. Wu.
|
Nyro Wyeth Wea N=
a = WN = 60
wed! Qe 6043-63
Was thee
nat Ny - 40-6372?
Uy728
3. Qubtrack Ma imobnin prem, omy (mem)
cation makiwe
h. New allo
ea Stepping Stond. Method
3)
1. Teanby he unccsnpied call.
2. Draw the chose hs
Leopp prom tho. ay
identified calls.
= © sp SIMs > 94D4 83D. — SI Dr
(W)_sip3 — S104 — 52dA —> S208 3103
(wi) sap) —52p4— SId4 — SIDI $201
(W) 8202. — S204 —> 534 > 33D2.— S202.
\) ssp) —» sspq —> SVD4 —> SIDL—> SBD]
(i) 8sp3 — spy —s 52042 S2D3> SBPz.
3. Mane tho comers @ 2 © cbernctively,
Caledate. tha net east hago. f
df all the volues one 4ve (20) the sdlution is optinaal|
(1) z0-loy20- 8 = 32 Cy) so- G0420-8 = -1F
ee chee! aCe @) 40-14 410-20 = II
(ji) 4 -Go+to~ 19 =] Wi) To-k64.60-20= 40
4. 4 ony -ve value wmes, bMlocake momimum wanits
in that call,
DI Dk.
2 03
30] sol 1° \
st alt ;
Hol | Gel
se ae)
19 | 20)
pee hes © Sion & 32.
Q) soz > 4>
(i) San. > 9
Ween s 1B
()s31'5
(yi) 53p3 > 5
Sinan net cock chang hem the donkibed
calls ano ave. the solubion it sabia,
eg Material Raguinsivant ang . Planning (mrp ]
Dems \wpuls of Map
"Dependent 1. MPS
+ Anclependent. ante
| re ma Bil =f maherials © aust Hrd
» food tine.
Aggregste es 4, Orden size. (£0Q,.-.)
MPS
(Mosher beats Sheduls alee soaps at = Nien
MRP. C}se
f . © Bish ck commponents / in adient | maeral,
Bills of Materials (Bom) ° aa aay re | materals
Ea Al: 109] tN [22] feod time. todas
| Schedule. Peceipt
t Vaan
& [a7] & [0g] © Lal crfaoraps eT, ;
NR = HO0 - 200-100
w1009.
Bom provides product alwduxe
Nek requinenantt = Total Regpinormant — Aveidable- Twentory
= (Gross Paquirawant-+ Mlocation $) (se)
es (Sven sor + Achedvle Pocsipt)
Satori
Jol :- A= 807 B=Bou Fe 300, D=200,\-20
SQ 1- D= 120,8-s00; E = 500, H=1b0 Net rogiramant for 4oo units of AN.
hes Raquiremant of A= 400
D'=2«400= 200
E = Sx400 = 1200.
B = 2x400 = 800.
Cc +}400=400.
F = \nk00 = Koo
G = I¥uoo = 400.
Wo = Aykoo= 1600.
Nek raqpitamant A = 40-80 = 390
Br 800-2(0-500 = —be <0.
© = 4oo —0 =kon,
D = }02O—200 -\o = WED.
E = \n£0 — 680 = Foo,
F = 420_-s00 =100-
G = hoo -9 =4o0,
H = {600 -1b0.= 140, CO ———
iter Gross
400
300
KOO
640
{60
400
oo
\eoo
Dem Oe co
30 5°
Seo | SLO
° °
200 \2o
fa) S20
soo] oO
° 0
Qe0 | 160
Now if Allocation A
50
sO
Nhs
To | SR |G ron-se
hop-80-O= 320
oO
hr}
xy
Yo Vico.
koo- 0-0 = 400. AQ 8[o1 c(i) ’
‘
6%0 -200-110=325
too D(2)
\oo eee
A400,
240.
a ‘
Allocations | Tol
BO
°
200 | \L0 Poe 93 EG]
5
Boo
°
NR
SR \ cresnttoubions
-Tol -SR
o | 450
B00 apn spontbo
Oo
FV 4004
Fld &f)
age. 1
Hf
\2HO
=§0.C=+50. the nck raqpirowert
4oo.
xd
|
© | Asd-B0 = ST,
sro J U y
s- | 360 ]500| 0
AT gis} c ae
40 Aggregate Plannin :
! ie Paquirenoits | Demon d|
Mes 4 Sizing of ae
= Sequeneing individual
eqoneing individ
NS shart Bal allocations
Di Ssggraele Paonia e
{ebs.
f individtion A%eseuse,
Bill mabental (pum) 2 Atrucuece) fp (
entail )
\ Mes a
Ca
Qpani
raw
Economie Onder Quantity (FOO) Best onder tevel :—
Beekt cost,
MPS [pa Fine Ent.
Week Maakel Darond ;
A
2
Z
4
Sy
6
ai
Eine. Ext
v
Giirdea. Nolve ——tlendle Bars.(g)
\50, o) ae 100 =
lao
200 Nolve. \olve.*
a) u ao Ttems
Fine Ext
Glinder
Nelve Ase
Hlandle Pass
Yalve
Nelve
Housing.
MRE for Tike Eat
Foal lime
(Weel
>
Stock in Hand
Onden
rn, °
Oe Trwerhoay | Of 4 Hock
Boo \s0
Aso 350
hoo B25
+00 640
350 too
A50 350
Lead time. = pet
Onde gize = Boouni'S.
| pre Oylindlon domand ,
Pomanc\ Zag
Nelve Assom
Hurdle Boa Demand
Weeks \ Rete eV Nee lca | saa reas
eee lop Pelt ject = (|e
Thventory) 150 | sO go | wo | 20 | 20
Opening stele 3° lees ~
Zoo a a Zoo
\ho | 20 Lo Lo
| 300 - e 200
eS ria lac for ay
Vom
Salas
50
ones
be ag 5 50
450 |
Ondarg, |
| MBP. for Yolve Assemb}y,
| ses ae
Week | De Zz) \ 4 S) ae &
Demane| oa ZO| =| | 20) — easy es
Therbes zeta eee
Poceip | | |400 40
clo Sel 325 | 25 | 25 |n5 | 5]i5|oa9| 225
te Maco | foo]
OA Aors
Mep fp Handle Bers
Weele Doman) fps Nalve g Valwe eer
Week | Pomancl
\
ee
C a 400
+ -
5 :
6 400
7
8
Ue yee 5
Als
ecto heel heal
ery = 150 | 100 | 196 | (00
t3_] 'e0 } 8/100
Gositg Stocle pale ties a
ae (ae | 30
Orders
nee cf Nelve Housiag .
wed-| \ lo) si) 4
Dorand s 4oo| =
Sruenbord | ge | 360 | 360] Hoo
| 450
350 | doo | Hoo
aa cate EeMueh
\. EOQ Method CEvonomic Bader Quarki}y’)
| 2. MCP Method (Mia Cost] Pericd )
=. LUC Method Cfeast | Unit test)
4. PoQ Melhed (Period onder Ouankify)
S. PPB Methad ( Post - Pontod SeeaCe
Eq:- MPS
Operatiny Atodk = 50 nites
foad time = Iweek.
onder.
Ordon Cod Ca 2250 frome.
Holding cost Cn = Z2-s fanik|week
Tolal demand in W weeks = 250
heeraey demand
Dolor y PUR
¢=o
BEE conor onder Quertity (EOQ)
; = Annual Derand.
£08 (@*) = (22 one ordaning cosk.
Qa = oer (Coxon
BriS 7 20.95 units | week.
ieee
2%2085% 250 ~ 64.58 units, 65 units.
\ LS a MP
Weaks| 1 | 2] 3 4 js |e a ae elec a ee
Vermig go |s0] uo) - | is |so[s0|- 10 | - ae
ing Bo a aed eres E | so | ko ko | a5
paceigt | - | €5| 65 65 | 65
| 2515 \50 | 50 | 40 | 40 jas | bo
Closing | 5 fis | no |40
Stoel eae
odes. | 65 | 65
|
2. Minimam Cot per Periad Cmcp)
ee ee Por.
Cummulative Cummudolive wok Poriod cost
| | 65 | | ae
enna
© Q
Weeks Demonel . Calouletion. 252 _ Eas] pared.
| s pan asocor £280 hee |
23 ao 2504 SOKO + HOH 1K 2-5 2 /unitfcte = 21% Tree
= tsk me y
2.3.4 NO 250 +5704 Honk s2.6 tomes BBO - BNe.bs pond
2,3, his — Petoxous 580
rhe 105 184 G10 soa Hors HOLS - Eus.yet
W1S*8x062 Theos a
BMG \S5 250 +04 100404 ILS 682-5 ~fino5
. + 0 ¥kx2 =2660.5 S|
a oo 250 +20%0 = Z250 a eS
4 40 250 + 20404 2041 x0.5 29 1 E50
= 500 oa
aes KO 26040450 4 012025 SS OR SOO
| j = 300 i)
48,9 GO 250 ¥ 04 5S 484 1073
¥O+50 404 10743 62-5 re) —
SB 49.45
= 2345 oe %
£1,8,%10 so
250 +0t50+0 41540 SUS as 2s
=345 > ses)
. 23 4 &
Saarioy As P0404 504 0474 — $625 = £3457
F2SKSRIS © 3569. 6
IS 25©416KO = 950 ae - 250,
Win 65 250 WIS*0 49.5% 150 ea oF ee
- 315 Pores
week =105
5 week =50
| Io week 2 5
Wee) | [ali 4 | lee ieee
Demand | 30 | s0 | uo] — ‘5 |20"|>0|- [10 =| | so
aaa 30 | 0 [55] Is | 15 || 50] jo] 1] 0 | 0 | se
eae ee a ie
Closing S © \55) 15] ist }o|So}to lol o] o | sol o
x es “Slaeas
onders | los ge 6S
al
al & 6
3. Least par Uni Cost Method Ciuc)
* dnskead of pod porriod wrt > a po unit cost. Cummulative
Weak s Domend
2 sO
US vo
easy) 90
BWsA5 10S
5 IS
Sk 35
S.6,4 SS
Se aE Gs,
T6489 65
S| \o
V0 2
a
Q,19,)) 25
410.112 Foe
Cummulatlive Cost
' Cadeusation (£)
250
350
S50
460.5
25040 =250
2560 40¥20%)42-5
= 600
290% 0450 ¢ 2002925
= TESBhOo
25040 45045040
= tae
250%0+ 59450404
\or4ert , 26D
250 +0 =250
150 £0+O = 2250
ZSO+OFO4ISH24DS |
= &205
250 £0404 F548 0312.5
EetO0
Pon Unit Cost
Cz)
259 2
2° 85
SSS _ 23.35
ao
BO F524
qo
400.5 _ E440
\os
259 _ Eb6t
1S
Boo LE8.SF
35
1 2-194
Aw _
Ce ead
—- = %
See
Boe Bae eG
oe = ZECF > ' ial aE Nai all ikl atid lila lclieltaclgieti ih! wt memo cemere
|
Seer ST SSW A SISO (|) ty) \\ We
eee
Demand =| i - [15 |20\an| - Jio] - fis | 50
reinF zo] [ao |o oe eal ©1665 | 65 | 2°
Stock: { IL
Receipt ao 35 15|
+— 3 ee =
cea aS © | He oO | 6 | 40}/20}0 65 3| 50
Orders | 40 55 al
7 -
a
A. Periodic oan Quantily Mathod (Poa)
Ne 4 ieee Avg annual clemend
E0Q
oes eS Cone lemenO ma r03 sRunitse
FOq = /2Es — uc
m
No of ordon= RIOT _ ie 4g onders
4 ox tae
oe ae gy - DD weeles
Peniodic sendien lees) = To.r8 oxka/geon = B08 Nene)
(without theluding non-zero demand week
\
\ 5. Past - Reniod Balanemg Method CrPs)
Economie Rak Reoiad = Ovleriog tort
Comning Cost
Go _ 250
= == = =\00
Cie 2)
Week Cummutsive demand Pant teriod
a2 50 so xO =O
2.3 Yo SOx4ox| =4O
QB ao ko
USA \o> SOLOFAOY| + IS eZ = PS ees
100
28,456 Ss 85 4 20¢4 = 165
2 2040 =O
oO 2ovo4D04) =2°
ko 20
be 20x lor B= 50
50 50
\vo
65 HOXWES = LOS Hosen
50 °,
