Answer to Question #242933 in Operations Research for patricia

Question

A company produces 2 types of hats .Each hat of the 1 type requires twice as much as labour time as the 11 types. The company can produce a total of 500 hats a day. the market limits daily sales of 1 and 2 types to 150 and 250 hats .Assuming that the profit per hat are Rs.8 for types A and Rs 5 for type B.Formulate a LPP models in order to determine the number of hats to be produced of each type so as to maximize the profit

Answer 1

The objective function is

Zmax = 8x₁+5x₂

Subject to the constraint:

2x₁+x₂ ≤ 500 

x₁ ≤ 150 

x₂ ≤ 250 

x₁≥0, x₂≥0