Question

A manufacturer produces 2 products – A and B which needs two machines M₁ and M₂. Product A requires 10 hours on machine M₁ and 4 hours on machine M₂. Product B requires 7 hours on machine M₁ and 5 hours on machine M₂. There are 250 hours of time available on machine M₁, and 300 hours on machine M₂. Profit earned by the manufacturer on selling one unit of A is Rs.50 and on selling one unit of B is Rs. 45. Formulate LPP.

Answer 1

The given data can be written in the following table as bellow:

From the above table, the L.P.P is:

Maximize Z = 50x + 45y

Subject to constaints, 10x + 7y ≤ 250 4x + 5y < 300 and 

Non-negativity restrictions x ≥ 0, y ≥ 0 y.