Three plants are supplying cement to 4 regional warehouses. The availabilities at the plants are respectively 2,

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Three plants are supplying cement to 4 regional warehouses. The availabilities at the plants are respectively 2, 3 and 4 units, the requirements of the warehouses are 1, 4, 2 and 2 respectively. The cement could be moved from one factory to another, but it is not possible to do so between the warehouses. the costs of transportation per unit of this material are as given below:

Plant Plant AB C A 04 13 B 40 2 C 13 2 0 Warehouse Plant WX Y Z A 2 510 4 B 1 13 11 7 C 11 3 9 10 Find the minimum cost allocation.

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