In Problem 16:
a. If Amelia works 35 hours weekly, will she make more money?
b. If the admissions office reduces Amelia’s wage to £8 per hour, and restaurant raises the wage to £9 per hour, and Amelia works up to 25 hours at the restaurant, will these changes affect her revenue?

c. Alternatively, if she plans to work for 50 hours per week, will this affect her revenue?
d. If Amelia combines alternatives proposed in b and c, will this affect her profit?

Data From Problem 16

Amelia wants to do a part time job during her spring break. She has two jobs now—one in an admissions office and the other in a nearby restaurant. She does not want to work for more than 40 hours per week. She believes that working in the restaurant is easier than working in the admissions office. Since the job at the admissions office demands a high degree of attention, she wants to work more in the restaurant. For every 1 hour of working at the admissions office, she plans to work 2 hours in the restaurant. She wants to work up to 22 hours in the restaurant. She will get a revenue of £9 per hour of work at the admissions office and £7 per hour in the restaurant. She wants to determine the number of hours she should work in the admissions office (x1) and the restaurant (x2) to maximize her earning per week during the spring break.