5. AutoCan sells automated car wash service. The car wash is priced at $12 per car. The cost for the rent, assistants, and promotion is $10,000. Each car wash costs $3 for water and soap.

a. Develop a model for the total cost for the car wash. Let x represent the number of car wash.

b. Develop a model for the total profit if x number of car wash were purchased.

c. AutoCan has forecasted a sale of 1500 carwash. How much profit will be earned if its forecast is accurate?

d. Compute the breakeven point.