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?

Question

hours of tutoring

hours as a teacher's aide

What is the maximum profit? $

Answer 1

164 at (8,12)

http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=1e692c6f72587b2cbd3e7be018fd8960&title=Linear%20Programming%20Calculator&theme=blue
max
10x+7y
x+y<=20
x>=3
x<=8
x+y>=1 phony to fill all the blanks

Answer 2

did with linear programming, no need for simplex