A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rs 17.50 per package on nuts and Rs 7.00 per package on bolts. How many packages of each should be produced each day if he operates his machines for at most 12 hours a day?
Step-by-Step Solution
Key Concept: Nuts x packages, Bolts y packages. Maximize P = 17.50x + 7y. Constraints: x + 3y <= 12, 3x + y <= 12, x, y >= 0. Corner points (0,0), (4,0), (3,3), (0,4). Max Profit = Rs 73.50 at x = 3 packages nuts and y = 3 packages bolts.
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Correct Answer: