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Cost, revenue, and profit are in dollars and x is the number of units. Suppose that...

Cost, revenue, and profit are in dollars and x is the number of units.

Suppose that the total revenue function for a product is

R(x) = 55x

and that the total cost function is

C(x) = 2200 + 35x + 0.01x2.

(a) Find the profit from the production and sale of 500 units.

(b) Find the marginal profit function

(c) Find MP at x = 500.

Explain what it predicts.

The total profit will ------ by approximately $------- on the sale of the next (501st) unit.

(d) Find P(501) − P(500).

Math   Calculus   
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