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(Transportation problem) There are two factories located one place 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 transportation per unit is given below : How many units should be transported from each factory to each depot in order that the transportation cost is minimum. What will be the minimum transportation cost ?

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Answer :The OPTIMAL transportation stragey will be to deliver 0, 5 and 3 units from the FACTORY at P and 5, 0 and 1 units from the factory at Q to the depots A, B and C resepectively. Corresponding to this the transportation cost would be minimum, i.e. Rs. 1550.


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