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 ₹50 each on type A and ₹60 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 x and y numbers of toys A and B.
∴According to the question,
5X + 8y
Maximize Z = 50x + 60y
The feasible region determined 5X + 8y is given by
The corner points of feasible region are A(0,0) , B(0,22.5) , C(12,15) , D(24,0).The value of Z at corner point is
The maximum value of Z is1500 and occurs at point (12,15).
The company should manufacture 12 A toys and 15 B toys to earn profit of rupees 1500.