An oil company has two depots A and B with capacities of 7000 L and 4000 L respectively. The company is to supply oil to three petrol pumps, D, E and F whose requirements are 4500L, 3000L and 3500L respectively. The distances (in km) between the depots and the petrol pumps is given in the following table:


Assuming that the transportation cost of 10 litres of oil is Re 1 per km, how should the delivery be scheduled in order that the transportation cost is minimum? What is the minimum cost?

Explanation

So here is how we can plot the chart where x liter is the supplies from A to D and y is from A to E
so from above the equations formed will be `x+y le 7000 , x+y ge 3500 , x le 4500 ,y le 3000 and x ge 0 , y ge 0`
The problem can be formed as Minimize `Z=0.3x+0.1y+3950`