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A factor manufactures two types of screw...

A factor manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines to maufacture a package of screw s A, while it take 6 minutes on automatic and 3 minutes on the hand operated machines to maufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs. 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screw he manufactures, how many packages of each type should the factory owner produced day in order to maximise his profit? Determine the maximum profit.

Text Solution

Verified by Experts

The correct Answer is:
The maximum value of Z is Rs 410 at B(30,20).
Thus, the factory should product 30 packages of screws A and 20 packages of screws B to get the maximum profit of Rs 410 .
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