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 4 credits. The total number of credits in science and humanities cannot exceed 84. 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-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? Susan Katz should take science courses and humanities courses in order to maximize her quality points.
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 4 credits. The total number of credits in science and humanities cannot exceed 84. 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-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? Susan Katz should take science courses and humanities courses in order to maximize her quality points.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Transcribed Image Text: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 4 credits. The total number of credits in science and humanities cannot exceed 84. 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-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?
Susan Katz should take science courses and humanities courses in order to maximize her quality points.
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