As you can see I was able to answer some portions of the pro

As you can see, I was able to answer some portions of the problem correctly but I am unsure of what to do for the parts left blank

The cost, in thousands of dollars, of airing x television commercials during a sports event is given by

C(x) = 150 + 2,100x 0.06x².

(a) Find the marginal cost function C\'(x) = 2100-.12x

Use it to determine how fast the cost is increasing when x = 4.   2099.52 thousand dollars

Compare 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 4.}

C(x)

150+2100x0.06x2x

C(4)

= ?

.What does the answer tell you?

The average cost of airing the first four commercials is $__________ per commercial.

Solution

C(x) = 150 + 2,100x 0.06x²

C\'(x) = 2100 - 0.12x   --- ( marginal cost)

C\'(4) = 2100 - 0.12*4 = 2099.52

The exact cost of airing the fifth commercial is $:

C(5) = 150 + 2,100*5 0.06(25) = $ 10648.5

C(4) = 150 + 2100*4 - 0.06*16 = $ 8549.04