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 $40, $80 and $110. 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. If the clinic has a rush of customers for these tests, how many of each type should it schedule in a 12 - hour day to maximize its profit? Round your profit to the nearest dollar and another answers - to the nearest whole number.
A) 48 A tests; 48 B tests; 48 C tests; maximum profit $11,040
B) 48 A tests; 48 B tests; 24 C tests; maximum profit $11,040
C) 48 A tests; 48 B tests; 12 C tests; maximum profit $7,080
D) 48 A tests; 24 B tests; 12 C tests; maximum profit $5,160
E) 24 A tests; 24 B tests; 12 C tests; maximum profit $4,200
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