During the summer break, Allie works as many as 35 hours per week. On Saturdays she spends between two and six hours teaching adults to swim. On weekdays, she can work between 10 and 40 hours teaching swimming lessons at a children's camp. Teaching adults pay $10 per hour while teaching children pays $6.25 per hour. How can Allie earn the most money each week?

Question

PS.
Must use linear programming and inequalities to solve. Must Graph.

Answer 1

Allie's hours = x

2 <= a <= 6
10 <= c <= 40

a +c <= 35

m = 10a + 6.25c

(6,29) a+c = 35; x = 6 241.25 Maximum

Answer 2

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