rosalyn works no more than 25 hours a week during the school year. she is paid $12 an hour for tutoring geometry and $8 an hour for delivering pizzas for Pizza King. she wants to spend at least 2 hours but no more than 7 hours a week tutoring. find rosalyns maximum earnings.

Answer 1

Shade the regions defined by

t+p <= 25
t >= 2
t <= 7

Find the vertices of the shaded regions, and evaluate

e = 12t + 8p

and pick the maximum