Question

I've already solved most of this problem but am stuck with the ending. This is business calc dealing with derivatives.

Answer 1

The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula
C(x) = 100 + 36x − 0.01x2.
(a) Find the marginal cost function C'(x).
C'(x) = 36-.02x

Use it to determine how fast the cost is going up at a production level of 100 teddy bears.
$ 34 per teddy bear

Compare this with the exact cost of producing the 101st teddy bear.
The cost is increasing at a rate of $ 34 per teddy bear. The exact cost of producing the 101st teddy bear is $ 33.99 . Thus, there is a difference of $ .01

(b) Find the average cost function C,and evaluate C(100).

C(x) = ____
C(100) =$ ___ per teddy bear

What does the answer tell you? ____
The average cost of producing the first hundred teddy bears is $ ___