Question

The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 5,000x + 0.09x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x)= Use it to estimate how fast the cost is increasing when x = 4. _______thousand dollars per television commercialCompare this with the exact cost of airing the fifth commercial. The cost is going up at the rate of $_ per television commercial. The exact cost of airing the fifth commercial is $_ . Thus, there is a difference of $_ . (b) Find the average cost function C, and evaluate C(4). HINT [See Example 2.] C(x)= C(4)= What does the answer tell you? The average cost of airing the first four commercials is $______ per commercial.

          The cost, in thousands of dollars, of airing x television commercials during a sports event is given by
C(x) = 20 + 5,000x + 0.09x2.
(a) Find the marginal cost function C'(x). HINT [See Example 1.]
C'(x)=
Use it to estimate how fast the cost is increasing when 
x = 4.
___________thousand dollars per television commercialCompare this with the exact cost of airing the fifth commercial.
The cost is going up at the rate of $_______  per television commercial. The exact cost of airing the fifth commercial is $_______  . Thus, there is a difference of $_______  .
(b) Find the average cost function C,  and evaluate C(4). HINT [See Example 2.]
C(x)=
C(4)=
What does the answer tell you?
The average cost of airing the first four commercials is $________  per commercial.

Added by Alec W.

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