Question
Assume that the cost, in thousands of dollars, of airing x television commercials during a sports event is given by C ( x ) =
Assume that the cost, in thousands of dollars, of airingxtelevision commercials during a sports event is given by
C(x) = 20 +4,800x+0.03x2.
completed >(a) Find the marginal cost function.
C'(x) = 4800+0.06x
Use it to estimate how fast the cost (in thousands of dollars) is increasing when
x= 4.
completed> 4824 thousand dollars per television commercial
Compare this with the exact cost (in dollars) 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) (in thousands of dollars).
C(x)=_____
C(4)=__________ thousand dollars per television commercial
What does the answer tell you?
The average cost of airing the first four commercials is $ __________ per commercial.
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