Question
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)
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.
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