Linear Programming -Transport Problem
Two godowns A and B have grain capacity of 100 quintals and 50 quintals respectively. They supply to 3 ration shops, D, E and F whose requirements are 60, 50 and 40 quintals respectively. The cost of transportation per quintal from the godowns to the shops are given in the following table:
Transportation cost per quintal (in Rs)
From/To A B
D 6 4
E 3 2
F 2.50 3
How should the supplies be transported in order that the transportation cost is minimum? What is the minimum cost?