Question

Pham can work as many or as few hours as she wants at the college bookstore for $7 per hour. But due to her hectic schedule, she has just 20 hours per week that she can spend working at either the bookstore or at other potential jobs. One potential job, at a café, will pay her $12 per hour for up to 6 hours per week. She has another job offer at a garage that will pay her $10 an hour for up to 5 hours per week. And she has a potential job at a day care center that will pay her $8.50 per hour for as many hours as she can work. If her goal is to maximize the amount of money she can make each week, how many hours will she work at the bookstore?

Answer 1

$7 per hour in book store

Total time = 20 hours.

Given she can work maximum 6 hours at cafe for $12 per hour which is highest in the lot which means, she uses up all her six hours first. income from here $12*6 = $72

Next she can work 5 hours maximum at garage where shell be paid $10 per hour which is the next best. Then she uses up all the next best. Income from here=$10*5= $50

Next best pay is $8.5 which she can work for unlimited number of hours where she'll take up that for remaining 9 hours. So income generated = 9*$8.5 = $72.5

Therefore she uses up all her 20 hours like this and she never works in a book store or number of hours worked in a bookstore = 0