profit maximization, Mathematics

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a medical clinic performs three types of medical tests that use the same machines. Tests A, B,and C take 15 minutes, 30 minutes and 1 hours respectively, with respective profits of $50, $80, and $120. The clinic has 4 machines available. One person is qualified to do test A, two to do test B, anf one to do test C. If the clinic has a rush of customers for these tests, how many of each type should it schedule in a9-hour day to maximize profit?

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