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Cronehoune)
wey
 
Demomd
(» Yer, it is femible solution .
The given set of Now veqotive allotments soci ses 3
RIM ace herce, the current Soliction Goi |
>Hsfier Royo total Column
-to be bone. eet, (E>
Astat
® mek Ss Nom ~ degenerate «
acti ellen ee “equol to mtn Eve
c iow Saad. :squat ko Zero, (a
FTE" Come the Cuore” solic
Pray = Cy ~ Cu, +¥) Se ee
ee as: 1 ae
@ Ay should be colewecect for All the U.
fe (otag We
(Uraltotied celts’) feat Snes vain ever leflech er
tet amd tromnpovtation scheclule» Butt
ma) Ui oma Vi are ae ke ‘ascertained abe Occupy
> twrteael oe edna
os Alloticcd Cells. [kos time for oledoting 1 ae
    
    
          
     
     
 
  
   
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i.
= wm, G
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(en
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Ey(ole) - v. +
 
satist jc —> eOcoupicd Cells 4
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entioned , vot dhe ‘value
  
ar.
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Be ce chad youl ee Senet (oDP gesxitions clue! e!
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es Consicenng pl iy
      
     
  
 
 
 
  
    
    
3, ‘
: sy Biiid) ther dinceton fr Chena ea
5 A phe derived Optimum solution. oi
2 considerotionn > nee
ks SE the vos escalate (Imcremre) then possibilty |e
suivity conalysis choomct exist hence Curren |
r Solution Shall vemoin unchomge
FF the wet tromportation cost clecveanes
Bae existing evel thew there 1S a possibilty ef
en amalysis ond the opm Soludion 15
be re-examined for ophimotity (Cprierslity
ofpsfao2>
Determination of Optimum Solubiow using MODI
amahed after yevising the Cost im the cell By
by a1.© (xe) + Ex) + x5) + Gs) +,
= 2 230/-
Shae cut, Wehelel! Lavping wt hed chistlllden
 
q Soha} In
=a Jn Alternate Optimacad Solution We! got aae- dlabuik
$0. B95 TI ABO Mapeey
fom 25 j
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Biron Tremsportation Problem :
   
Core -9
oe
a cr Pc Copoortty (Supply) |
| |
w |. ewe
{3 16 i
x
32 48
BS)
Ye {le 32
y Requirement — 144 204
sa (Dunreved
0 4
Situation = ely 1
Gtuain 1 2 : to
 
NDe the gwen Pramportation problem, if Tetal Suppl”
TWh Demand ‘then Ywetrodkuced a dummy destinationo
=
spate be
will actively porter
    
       
ony
chow
 
footer,
   
   
acs ee s
 
gether oF dummy
i) Although
destinetion 5 they
Siqmsficomce on the objective: KG
Chlewlodtons utr “Yhoy cum Fae
TTronopertation problems.en yt He 5!
Tso svik 775
TE ~ ox ee) + 1x91)
Mee) 4+ Gr X BY) + (HEI 91)
Teepe epicd soon errernnt a
               
 
ail 21 | 2 | 91 | o-est
oe |
| | —> | set-yor
oy feat }x_ 2 )on-e er
ele sm | c-s<3 y
- | ie AML
seq peg 3
Pen) 2a |e AG 3
smapod ~oypaymodeway prop” of promapeq Ma“a2 ‘lo © | !
Vaal WwW eae! i) Bere
 
 
 
 
    
 
    
         
   
 
22 ow
| | goto:
us 32 __ las lo | am
A; Gndout
iS ° ~16 - 48
gubtrac
(a, 20) We
The Net cost change iw all umoceupied cells ave
etther positive or revo. Hence the Current solution is Ww) App
Optimal « the in
% Optimum Tomsportatio Schedule By hed
W> Po 5 X 7 Pe X > Pw X> Pry wager
Y> Par omd V-> Py rele
% Minimum Tromnpoctation Cost: rom
oO
eG X42) +@axsa) +(oxd0)+ (lo x 144) + me
_ Gaxic) 2 Geqc] — her ved)
 
rae
Ay So tow Optimala om
x attached orth cost mectoix
‘ finding the
 
   
  
    
 
 
  
vohether he giver x
lem 1S batomed or Ul
yo Step fee dei unbolomeect thew convert unbalanced
pnaron0 dO Erp) rom portation Problem to balomeed TP
by cpproprotely imbrodlucing, dummy's amd then proceed
te cep oe >
i) Determanation
Minimizabion Conc]
  
 
ere Foes Males Conversion of Matis
1
=gation core to _
“the entire matrix amd
Pee rest port vole
RGN the cclls ding “the highest profit
ke BM eae. the Wqhert) profi vole.
techniques +0 cetenning
w iD) Apply omy one: OF the IRES
4he imitiol solution
Y) Apply Mop! method to dlekensontiets ie
   
 
  
  
 
  
  
prin solucti
vi) After determanotrion Of Oph ‘romlesperh taal
By, pescrlenisto, denver: rosaries d
QHomtity ollobted im the optimnbow colubionw
Bmax var is dered ose B
\ta Grit in step 4 1s exther a Rerematy
Pat Mtfe Cost Motaix given => Dere. Profit: Maton A fol!
Fee Gon of Pa he 1 one
Moximiratios of “Tromportation Cost
   
  
  
  
 
    
   
       
    
    
  
        
a
Core -6 goede
SHB OTL ase 8 | eerie st
Salen Ss Si Sa Copeet ty
NSC eae
ae ae elem
meee ie vx se ee
tents [20-15 -3 +s = [ass -4 ie-3-2 | es,
| aes =6 yee | ie oe
- | |
[eorte-4 J2a-\c-6 [25-1674 |ie-16-5 ||
oe 20
9 =o 25 aS =
oe : s he =
mo-15 -3 |a2-15-4 |25-15-6 |IR-15-5
| ‘ 15
> es =O =A =a
ier
Requine-
~ments
 
Sep 22 4 Checking rol L i \
1A he “Shep! 1 moda ae
The Aggreqote Supply 4 aggregate demomd one equal ,
Hence the current {ropertestion. prolslem said to be
SE the Mate is ‘Untatonccd” con
Calomce ds Tc alamied # Gud pital a i into
a >)
eee Motnx (Converting Moxinaration cose intoshowd be in positeracoselrap— wer!
Peo oe a
a= sen TOP
=
Pet
Bette = ee BY
 
 
 
 
 
oe
|
: |
: 30| te | 220 | wa robo
woypou ioeddiy
spteg) - wens aster oma Tee 40
wyote
Oe ce
A Sy hn Ses Neos! oe
Reo ae Sag) Cl ya
F Moximum Profit Galewlaon ~
(tox +(6 x2) + (ax1 +@x oe
(sxs) + (xe) +(13 x -2) =
= 4 +la+a+o0 +40 + O
ay eae ~
~ a6. = 2 155]—
+ no of Allotments
Cores OF
Profit = Selling Pree - Production Cost pew umd &
Raw Makenals cost Per wet ~ “Trew por tortion Cost-
per unk -
sTep-4
A Determination of Profit MarniDek eaeio~ off Expected Pes?
core Ito enwirortion cone)
“s Appro Riemat om
Determination of IBFS (Noe!ww oF PMbT 260 sprouyao Pay
ee
   
 
 
a
r wia bwhpoyes symouaayo anyweb von, =
Big © 29q WqIAP 210g 1 HME FE HL . =
t = Spemyonyo qenpey a
- f= Spogony = ra “
res T-8 = a e
T-'+S = = \ hs = oe
Jee = sprouy anit to ON OH 2 Sb Sor aed
: 3777 IVI7
2 = aby A er |
oF) /
eer a g ol
A e € ore 4
ee) ise)
5 3 ;
=| =. \ u | os a
fey |
al TI oul > fon
|e eee ae ess | ts
oo t
e = a z S or G
\
Bese“ ‘Zio) = 3
$A lxa | a | 0 | aa bes es a
i
a = Goren Mo yoni y oad x
Vo sben) saan to “8 HpOwasagog]
 
+: dota
sh: Beer €,,S, ond Fe, Ss, we opportunty cost
Hence Lets Soleo Ey > So Os eae cel
is Negative,
© for realistment of Quomtbities -welt
ost Ste Net cock Chamge im oll the umomeplesl alla
cell Be athe zero or positive « tence Umea
rf ita
is Optmol . oan
F Optimum Tremsportation Schedule: Ay
 
 
 
 
 
 
Me S, , Fy Sy
: : .
Bieri Prot = (io x 6) + Go x -2) +0
9 X2)+ (BOKE) +(oKS) +(40x0)
60+ € ig) + C240) + loo + 640 + 100"
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