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## 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 + 41x − 0.04×2.   (a) Find the marginal cost function C'(x). C'(x) = ___________       Use it to determine how fast the cost is going up (in \$) at a production level of 100 teddy bears. \$ ________  per teddy bear   Compare this with the exact cost of producing the 101st teddy bear (in \$).   The cost is increasing at a rate of \$ _____  per teddy bear. The exact cost of producing the 101st teddy bear is \$ ________ . Thus, there is a difference of \$ ___________  .

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 + 41x − 0.04x2.

(a) Find the marginal cost function C’(x).
C'(x) = ___________

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

Compare this with the exact cost of producing the 101st teddy bear (in \$).

The cost is increasing at a rate of \$ _____  per teddy bear. The exact cost of producing the 101st teddy 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.
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