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A company manufacture two types of toys A and B. type A requires 5 minutes each for cutting and 10 minutes for each 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. He earns a profit of each on type and each on type B. How many toys of each type should the company manufacture in a day to maximize the profit?

Let the company manufacture and y numbers of toys and .
According to the question,

Maximize
The feasible region determined is given by

The corner points of feasible region are The value of at corner point is

The maximum value of is 1500 and occurs at point .
The company should manufacture 12 A toys and 15 B toys to earn profit of rupees 1500 .