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(Transportaion problem) : There are two ...

(Transportaion problem) : There are two factories located one at place P and the other at place Q. From these locations, a certain commodity is to be delivered to each of the three depots situated at A,B and C. The weekly requirements of the depots are respectively 5,5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportaion per unit is given below:

How many units should be transported from each factory to each depot in order that the transportation cost its minimum. What will be the minimum transportation cost?

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