Allie’s Summer Work 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 sail. On weekdays she can work between 10 and 40 hours teaching sailing at a children’s camp. Teaching adults pays $10 per hour while teaching children pays $6.25 per hour. How can Allie earn the most money each week?

Essentials of Allie’s Work 1.Allie works as many as 35 hours per week. 2.She spends between two and six hours teaching adults to sail. 3.She spends between 10 and 40 hours teaching sailing at a children’s camp. 4.Teaching adults pays $10 per hour while teaching children pays $6.25 per hour. 5.How can Allie earn the most money each week?

Hours teaching adults Hours teaching children Can teach adult between 2 and 6hours 2<A<6

Hours teaching children Hours teaching adults Can teach Children between 10 and 40 hours 10<C<40

C A Allie can work as many as 35 hours A+C<35

C A

C A All constraints are fulfilled inside “green” box 2<A<6 10<C<40 A+C<35 Which points in the box let Allie earn the most money?

A