Question

A company manufactures two products X & Y. Due to deficit of raw materials not more than TOO units of X and 200 units of Y can be produced in a month. Total labour available is 600 hrs per month. Each unit of X requires 2 hrs and each unit of Y requires 4 hrs to be produced. If the profit obtained by selling one unit of X is Rs. 50 and one unit of Y is Rs. 100, formulate an LPP.

Answer 1

The linear programming problem is : 

Max. Z = 50x + 100y 

Subject to x ≤ 100 

y ≤ 200 

2x + 4y ≤ 600 and 

x ≥ 0, y ≥ 0.