Four warehouses with capacities of 85, 35, 50 and 45 tons were receiving the materials from 3 factories, with their supply capacity as 70, 55 and 90 tons on regular basis.  The transportation costs per ton from factories to warehouses are given in the following table:                     (10)

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(Apr 2004)

Factory

Warehouse

1

2

3

4

I

6

1

9

3

II

11

5

2

8

III

10

12

4

7

 

A feasible solution states that from Factory I, 25 tons have to be transported to warehouse 3 and 45 tons to Warehouse 4.  Similarly 30 tons and 25 tons were transported from Factory II to warehouse 1 and Warehouse 3 respectively.  However, from Factory III, 55 tons and 35 tones were transported to warehouse 1 and warehouse 2 respectively.

Is this transportation schedule optimum? If not, modify it and obtain optimum solution and optimum cost.

 

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