Answer to Question #84951 in Microeconomics for james

Question

Pham can work as many or as few hours as she wants at the college bookstore for $11 per hour. But due to her hectic schedule, she has just 17 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 daycare 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?
hour(s).

Answer 1

Since the goal is to maximize profits, it is necessary to work with payment higher than in the bookstore. This means that of the proposed options, the only alternative is to work in a cafe. At the same time, you can work in a cafe no more than 6 hours a week. Thus, we determine the number of hours that need to work in the bookstore:

17 - 6 = 11 (hours)

And the profit in this case will be:

11 * 11 + 6 * 12 = $ 193