10. A company has four warehouses and five stores. The warehouses have total surplus of 430 units of a given commodity that is divided among them as follows: Warehouse W1 W2 W3 W. Surplus 150 30 120 130 The five stores have, in all, a requirement of 450 units of the commodity. Individual requirements are Store S1 S4 Ss Requirement 80 60 20 210 80 Cost of shipping one unit from the ith warehouse to the jth store is as displayed in the following table: Store Warehouse S, SA Ss W1 9. 12 10 10 6. W2 5 18 12 11 2. Ws 10 M 7. 3- 20 WA 2. M 8. M in this table indicates that the route is not available. How should the company arrange to transport the units so that the transportation cost is minimised?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
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Specially Structured Linear Programmes I: Transportation and Transhipment Problems 293
TO3,5
NMI
10. A company has four warehouses and five stores. The warehouses have total surplus of 430 units of a
given commodity that is divided among them as follows:
Warehouse
W1
W2
W
WA
Surplus
150
30
120
130
The five stores have, in all, a requirement of 450 units of the commodity. Individual requirements are
Store
S
S2
S4
Ss
Requirement
80
60
20
210
80
Cost of shipping one unit from the ith warehouse to the jth store is as displayed in the following table:
Store
Warehouse
S4
Ss
9.
12
10
10
W2
5
18
12
11
W3
10
7.
3-
20
WA
6.
8
M in this table indicates that the route is not available.
How should the company arrange to transport the units so that the transportation cost is minimised?
Transcribed Image Text:Specially Structured Linear Programmes I: Transportation and Transhipment Problems 293 TO3,5 NMI 10. A company has four warehouses and five stores. The warehouses have total surplus of 430 units of a given commodity that is divided among them as follows: Warehouse W1 W2 W WA Surplus 150 30 120 130 The five stores have, in all, a requirement of 450 units of the commodity. Individual requirements are Store S S2 S4 Ss Requirement 80 60 20 210 80 Cost of shipping one unit from the ith warehouse to the jth store is as displayed in the following table: Store Warehouse S4 Ss 9. 12 10 10 W2 5 18 12 11 W3 10 7. 3- 20 WA 6. 8 M in this table indicates that the route is not available. How should the company arrange to transport the units so that the transportation cost is minimised?
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ISBN:
9781337406659
Author:
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Publisher:
Cengage,