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An oil company has two depots, A and B, ...

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 pumps D,E,F whose requirements are 4500 L, 3000 L and 3500 L respectively. The distance (in Km) between the depots and the petrol pumps are given in the following table :

Assuming that the transportation cost of10 litres of oil is ₹ 1 per km , how should the delivery be scheduled in order that the transportation cost is minimum ?

Text Solution

Verified by Experts

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`

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