Question

A factory makes two types of items A and B, made of plywood. One piece of item A requires 5 minutes for cutting and 10 minutes for assembling. One piece of item B requires 8 minutes for cutting and 8 minutes for assembling. There are 3 hours and 20 minutes available for cutting and 4 hours for  assembling. The profit on one piece of item A is  ₹5 and that on item B is ₹6. How many pieces of each type should the factory make so as to maximize profit ? Make it as an LPP and solve it graphically.

Answer 1

Let the factory makes ;r pieces of item,4 and y pieces of item B.

From figure, possible points for maximum value of