Be Tanned! is a tanning spa that offers three options for tanning. With Option A, members pay a $35 membership fee per month and $12 per
tanning session. With Option B, members pay $115 per month for unlimited
tanning sessions. With Option C, members pay $1,200 per year for unlimited monthly tanning sessions.
Part A: Write a system of equations that represents the monthly rate for the
three options, where x represents the number of tanning sessions
attended each month.
Part B: Write a reasonable domain for each equation in the system.
Part C: Suppose you are a representative working at Be Tanned! and your
job is to sell memberships and advise your clients on the products
and services that you offer. Under which circumstances would
Option B be less expensive to purchase than Option A and Option
C? When would you recommend Option A and Option C?

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.