The total cost(in dollars) of manufacturing x auto body frames is

C(x)=50,000+400x.

(A) Find the average cost per unit if

400

frames are produced.

(B) Find the marginal average cost at a production level of

400

units.

(C) Use the results from parts(A) and(B) to estimate the average cost per frame if

401

frames are produced.

The total cost(in dollars) of producing x food processors is

C(x)=2300+50x0.1x2.

(A) Find the exact cost of producing the

91st

food processor.

(B) Use the marginal cost to approximate the cost of producing the

91st

food processor.

The total cost(in dollars) of producing x food processors is

C(x)=2300+50x0.1x2.

(A) Find the exact cost of producing the

91st

food processor.

(B) Use the marginal cost to approximate the cost of producing the

91st

food processor.

The profit(in dollars) from the sale of x lawn mowers is

P(x)=40x0.04x2650.

(A) Find the average profit per mower if

50

mowers are produced.

(B) Find the marginal average profit at a production level of

50

mowers, and interpret the results.

(C) Use the results from parts(A) and(B) to estimate the average profit per mower if

51

mowers are produced.

The price p(in dollars) and the demand x for a particular clock radio are related by the equation

x=500050p.

(A) Express the price p in terms of the demandx, and find the domain of this function.

(B) Find the revenueR(x) from the sale of x clock radios. What is the domain ofR?

(C) Find the marginal revenue at a production level of

4600

clock radios.

(D) Interpret

R(4800)=92.00.