1.

A company 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. He earns a profit of 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»


SOLUTION :Maximize `Z=50x+60y,` subject ot the constraints
`5x+8yle180,`
`5x+4yge120,`
`x ge 0and YGE0.`
The corner points of the feasible region are `O(0,0),C(24,0),D(0,22.5)and E(12,15).` z is MAXIMUM at `E(12,15).`


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