A manufacturing company has 4 factories and 3 warehouses. The costs for transporting its products from factories to ware houses, the supply capacity of factories and demands in warehouses are given respectively by 6 4 81 70 170 4 3 2 C = 130 S = D= 200 2 4 7 100 130 1 5 8 200 a. Use minimum cost method to find an initial feasible solution. b. Determine the amount of products to be transported from factories to warehouses to minimize the cost.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
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A manufacturing company has 4 factories and 3 warehouses.
The costs for transporting its products from factories to ware
houses, the supply capacity of factories and demands in
warehouses are given respectively by
6 4 81
70
170
4 3 2
C =
130
S =
D= 200
2 4 7
100
130
1 5 8
200
a. Use minimum cost method to find an initial feasible
solution.
b. Determine the amount of products to be transported
from factories to warehouses to minimize the cost.
Transcribed Image Text:A manufacturing company has 4 factories and 3 warehouses. The costs for transporting its products from factories to ware houses, the supply capacity of factories and demands in warehouses are given respectively by 6 4 81 70 170 4 3 2 C = 130 S = D= 200 2 4 7 100 130 1 5 8 200 a. Use minimum cost method to find an initial feasible solution. b. Determine the amount of products to be transported from factories to warehouses to minimize the cost.
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