Gabby is working over the summer to save money for college. She earns $15 per hour working at a coffee shop and $12 per hour working at a gym. She can work at most 40 hours per week and needs to earn at least $500 per week.

Question

Gabby is working over the summer to save money for college. She earns $15 per hour working at a coffee shop and $12 per hour working at a gym. She can work at most 40 hours per week and needs to earn at least $500 per week.
Given Gabby's constraints, which pairs (c,g) represent possible numbers of hours she could work at the coffee shop, c, and at the gym, g?

Questions

GPT 3.5 · Answer

1. What is the minimum number of hours Gabby needs to work at the coffee shop and gym combined to earn at least $500 per week?

2. Can Gabby work all 40 hours at one job and still meet her minimum earnings requirement?

3. How many different combinations of hours could Gabby work at the coffee shop and gym to meet her minimum earning requirement?

4. If Gabby wants to maximize her earnings, what is the optimal combination of hours she should work at the coffee shop and gym?

5. What factors should Gabby consider when deciding how many hours to work at each job, besides just the hourly wage?