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 hour respectively, with respective profits of $50, $80, and $120. The clinic has 4 machines available. One person is qualified to do Test A, two people are qualified to do Test B, and one person is qualified to do Test C.
How many of each type of test should the clinic schedule in a 9-hour day to maximize profit?
Answer (3)
you can do 9/1 x A 2 x (9/0.5 x B) 9/0.25 x C so 9A + 36B + 36C (9 x 50) + (36 x 80) + (36 x 120) = 450 + 2880 + 4320 = $7650
To maximize profit, the clinic should schedule 6 test B and 6 test C in a 9-hour day. ;
The clinic should schedule 0 Test A, 2 Test B, and 1 Test C in a 9-hour day to maximize profit, leading to a total profit of $330.
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