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46. Studying Ty Olden is trying to allocate his study time this weekend. He can spend time working with either his math tutor or his accounting tutor to prepare for exams in both classes the following Monday. His math tutor charges $20 per hour, and his accounting tutor charges $40 per hour. He has $220 to spend on tutoring. Each hour that he spends working with his math tutor requires 1 aspirin and 1 hour of sleep to recover, while each hour he spends with his accounting tutor requires 1/2 aspirin and 3 hours of sleep. The maximum dosage of aspirin that he can safely take during his study time is 8 tablets, and he can only afford 15 hours of sleep this weekend. He expects that each hour with his math tutor will increase his score on the math exam by 3 points, while each hour with his accounting tutor will increase his score on the accounting exam by 5 points. How many hours should he spend with each tutor in order to maximize the number of points he will get on the two tests combined?
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Finite Mathematics and Calculus with Applications (10th Edition)
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