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+43x -0.07x²
(a) Find the marginal cost function C'(x).
C'(x)-43-0.14x

Use it to determine how fast the cost is going up (in $) at a production level of 100 teddy bears.
$ 29
per teddy bear

Compare this with the exact cost of producing the 101st teddy bear (in $).
The cost is increasing at a rate of $
C(x) =
(b) Find the average cost function C, and evaluate C(100) (in $).
100
X
+43-0.07x
Submit Answer
X per teddy bear. The exact cost of producing the 101st teddy bear is $ 30
C(100) = $37
What does the answer tell you?
The average cost of producing the first hundred teddy bears is $ 37
per teddy bear
✓per teddy bear.
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MY NOTES ASK YOUR TEACHER
X. Thus, there is a difference of $30
X