A Company Manufactures Two Products, a and B, on Two

question 102

Essay

A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $4/unit of product A and a profit of $5/unit of product B. To manufacture 1 unit of product A requires 7 min on machine I and 9 min on machine II. To manufacture 1 unit of product B requires 9 min on machine I and 3 min on machine II. There are 6 hr of machine time available on machine I and 4 hr of machine time available on machine II in each work shift.
How many units of each product should be produced in each shift to maximize the company's profit?
A = __________ B = __________
What is the largest profit the company can realize?
$ __________
Is there any time left unused on the machines? Answer yes or no.
__________

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