Question

A copany manufactures two types of toys, A and B. Type A requires 5 minutes each for cutting and 10 minutes each for assembling. Type B requires 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours available for cutting and 4 hours available for assembling in a day. The profit is Rs.50 each on type A and Rs.60 each on type B. How many toys of each type should the company manufacture in a day to maximize the profit?

Answer 1

Correct Answer - For getting a miximum profit of Rs. 1500, 12 toys of type A and 15 toys of type B should be manufactured.
Let x and y be the number of tpys of type A and B respectively. Then, `5x+8yle180, 10x+8yle240and xge0,yge0.`
Maximize `Z=50x+60y.`