Question

A manufacturer produces two types of suitcase. He has two machines A and B. The first type of suitcase requires 3 hours on machine A and 3 hours on machine B. The second type of suitcase requires 3 hours on machine A and 2 hours on machine B. Machines A and B can work at most for 18 hours and 15 hours per day respectively. He earns a profit Rs 30 and Rs 25 per suitcase of the first type and second type respectively. Formulate on L.P.P. for finding how many suitcase of each type must be make each day to make maximum profit?

Answer 1

Let x suitcase of type I 

y suitcase of type II is manufactured 

Objective function is maximize profit Z = 30x + 25y 

Subject to constraints are 

3x + 3y ≤ 18 (machine A constraint) 

3x + 2y ≤ 15 (machine B constraint) 

x, y ≥ 0 (non-negative constraint)