1.

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 transportation per unit is given below: From \ To Cost (in ₹) A B C P 160 100 150 Q 100 120 100 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?

Answer» 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 transportation per unit is given below:



























From \ To Cost (in ₹)
A B C
P 160 100 150
Q 100 120 100



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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