Answer:
Step-by-step explanation:
let r= number of hours worked at the restaurant
y=number of work hours in the yard
Maximum number of work per week=r+y ≤ 15
Lia must work at least 5 hours in the restaurant
x ≥ 5
Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:
8r + 12y ≥ 120
What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours?
Assume Lia worked all 15 hours in the restaurant
she would earn $8*15hours = $120.
The maximum number of hours she can work in the restaurant is therefore 15 hours
What is the maximum amount of money Lia can earn in a week?
Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.
5r+10y
5*8 + 10*12
= 40 + 120
= $160
