The marginal profit for a small car agency that sells x cars per week is given by

where P(x) is the profit in dollars. The agency’s profit on the sale of only 1 car per week is - $2,000. Find the profit function and the number of cars that must be sold (to the nearest unit) to produce a profit of $13,000 per week. How much weekly profit (to the nearest dollar) will the agency have if 80 cars are sold per week?

Use Table 1 to evaluate all integrals involved in any solutions of Problem.

Transcribed Image Text:

P'(x) = xV2 + 3x