Formulate this as a Linear Programming Problem.

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper in a week. There are 160 production hours in a week. It requires 0.20 and 0.40 hours to produce a ton of grade X and Y papers. The mill earns a profit of Rs. 200 and Rs. 500 per ton of grade X and Y paper respectively.

Formulate this as a Linear Programming Problem.

Solution

This is a profit maximization problem in which we need to determine optimal production quantities

Let xtons of grade X and y tons of grade Y paper be produced

Total profit = 200x + ……………………………………………………………….

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