A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours available for assembling. The profit is Rs 50 for each type A and Rs 60 for each type B souvenir. How many of each type should the company manufacture to maximize profit?
Step-by-Step Solution
Key Concept: Type A x units, Type B y units. Maximize P = 50x + 60y. Constraints: 5x + 8y <= 200, 10x + 8y <= 240, x, y >= 0. Corner points (0,0), (24,0), (8,20), (0,25). Max Profit = Rs 1,600 at x = 8 of type A and y = 20 of type B.
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Correct Answer: