(Transportation 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 transportation per unit is given below:
From ↓/ To → | Cost (in Rs) | Cost (in Rs) | Cost (in Rs) |
| 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?