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)
(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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