A student earns $10 per hour for tutoring and $7 per hour as a teacher's aide. To have enough free time for studies, he can work no more than 20 hours per week. The tutoring center requires that each tutor spends at least three hours per week tutoring, but no more than eight hours per week. How many hours should he work to maximize his earnings?

hours of tutoring hours as a teacher's aide What is the maximum profit? $

Question

Mathematics

Ariana Odonnell

12 March, 05:23

A student earns $10 per hour for tutoring and $7 per hour as a teacher's aide. To have enough free time for studies, he can work no more than 20 hours per week. The tutoring center requires that each tutor spends at least three hours per week tutoring, but no more than eight hours per week. How many hours should he work to maximize his earnings?

hours of tutoring hours as a teacher's aide What is the maximum profit? $

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Isaiah Rowe · Answer 1

Since he gets paid more for tutoring, he should work as many hrs tutoring as possible. He can only work at most 20 hrs. He has to work at least 3 hrs tutoring but no more then 8 hrs ... to maximize profit, he needs to work 8 hrs tutoring ... leaving 12 hrs as a teachers aide. He should work 20 hrs to maximize his earnings.

maximum profit is : 8 (10) + 12 (7) = 80 + 84 = 164