The cost of producingxteddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula

C(x) = 100 +35x0.02x².

(a)Find the marginal cost functionC'(x).

already answered >C'(x) = 350.04x

Use it to determine how fast the cost is going up (in $) at a production level of 100 teddy bears.

$31 per teddy bear

Compare this with the exact cost of producing the 101^stteddy bear (in $).

The cost is increasing at a rate of $ 31 per teddy bear. The exact cost of producing the 101^stteddy bear is$_____ .Thus, there is a difference of $______ .

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

C(x)=______

C(100)= ______$ per teddy bear

What does the answer tell you?

The average cost of producing the first hundred teddy bears is $_______ per teddy bear.