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Students at Upscale University are required to take at least 4 humanities and 4 science courses....

Students at Upscale University are required to take at least 4 humanities and 4 science courses. The maximum allowable number of science courses is 12. Each humanities course carries 4 credits and each science course 3 credits. The total number of credits in science and humanities cannot exceed 60. Quality points for each course are assigned in the usual​ way: the number of credit hours times 4 for an A​ grade, times 3 for a B​ grade, and times 2 for a C grade. Susan Katz expects to get​ B's in all her science courses. She expects to get​ C's in one dash fourth of her humanities​ courses, B's in​ one-fourth of​ them, and​ A's in the rest. Under these​ assumptions, how many courses of each kind should she take in order to earn the maximum possible number of quality​ points?

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Colby Messinger answered 2 years ago
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