Question

A student earns $10 per hour for tutoring and $7 per hour as a teachers 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 3 hours per week tutoring but no more than 8 hours per week. How many hours should he work to maximize his earnings?

Answer 1

To maximize his earnings, the student should work 8 hours as a tutor and 12 hours as a teacher's aide.

Step-by-step explanation:

To maximize his earnings, the student should work 8 hours as a tutor and 12 hours as a teacher's aide.

Let's start by calculating the earnings from tutoring and being a teacher's aide:

Tutoring: $10/hour * 8 hours = $80

Teacher's aide: $7/hour * 12 hours = $84

So, the total earnings would be $80 + $84 = $164.

By working 8 hours as a tutor and 12 hours as a teacher's aide, the student can maximize his earnings to $164.