It costs the American Automobile Company $8,000 to produce each automobile, and fixed costs (rent and other expenses that do not depend on the amount of production) are $15,000 per week. The company’s price function is () = 20,000 − 60, where p is the price at which exactly x cars will be sold.a) How many cars should be produced each week to maximize profit?b) For what price should they be sold?c) What is the company’s maximum profit?