Pham can work as many or as few hours as she wants at the college bookstore for $12 per hour. But due to her hectic schedule, she has just 15 hours per week that she can spend working at either the bookstore or other potential jobs. One potential job, at a café, will pay her $15 per hour for up to 6 hours per week. She has another job offer at a garage that will pay her $13 an hour for up to 5 hours per week. And she has a potential job at a daycare center that will pay her $11.50 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?

For Pham to maximize her income, she must consider the jobs with the highest per-hour earnings first. She has 15 hours to work. Her priorities should be as below.

Work at the cafe for 6 hours for $15 per hour
Work at the garage for 5 hours for $13 per hour
Work at the books store for 4 hours for $12 per hour

A total of 15 hours. Pham can work at the book store for 4 hours per week to maximize her income.

Tundexi Tundexi · Answer 2 · 2022-01-11T13:31:16+01:00

Pham will have to work 4 hour per week at the bookstore to maximize her pay.

Given data

Total number of hours available per week = 15 hours

Cafe will pay her $15 per hour up to 6 hours
Garage offers $13 per hour up to 5 hours
Dycare Centre offers $11.50 per hours for as long as she can work

Out of the potential job, only the cafe and garage centre pay is more than the pay of bookstore

Hence, in order to maximize the amount of money, Pham have to devote 6 hours at the cafe, 5 hours at the garage centre and remaining 4 hours at bookstore,

In this way, the amount of money she will receives will be at maximum.

Working at Cafe she will make $15 * 6 = $90
Working at Garage centre she will make $13 * 5 = $65
Working at Bookstore she will make $12*4 = $48

Total amount she will earn = $90 + $65 + $48

Total amount she will earn = $203

Therefore, Pham will have to work 4 hour per week at the bookstore to maximize her pay.