A medical clinic performs three types of medical teststhat 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 to do test B, and one to do test C. The clinic has arush of customers for these test, how many of each type should it schedule in a 9-hour day to maximize profit?

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04-11-2014
Mathematics

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A medical clinic performs three types of medical teststhat 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 to do test B, and one to do test C. The clinic has arush of customers for these test, how many of each type should it schedule in a 9-hour day to maximize profit?

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RhysH RhysH · Answer 1 · 2014-11-04T13:34:29-05:00

RhysH RhysH

04-11-2014

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

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