8. It costs a car company $8000 to produce each car and fixed costs are $20, 000 per week. The company's price function is p(x) = 22,000 - 70x, where p is the price at which exactly x cars will be sold. a) Find the profit function for the company. b) Find the number of cars that need to be produced and sold in order to maximize the profit. c) Find the price at which the cars should be sold. d) Find the company's maximum profit.
8. It costs a car company $8000 to produce each car and fixed costs are $20, 000 per week. The company's price function is p(x) = 22,000 - 70x, where p is the price at which exactly x cars will be sold. a) Find the profit function for the company. b) Find the number of cars that need to be produced and sold in order to maximize the profit. c) Find the price at which the cars should be sold. d) Find the company's maximum profit.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:8.
It costs a car company $8000 to produce each car and fixed costs are $20, 000 per week.
The company's price function is p(x) = 22,000 - 70x, where p is the price at which exactly x cars will
be sold.
a) Find the profit function for the company.
b) Find the number of cars that need to be produced and sold in order to maximize the profit.
c) Find the price at which the cars should be sold.
d) Find the company's maximum profit.
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