Find the average cost function C associated with the following total cost function C.

Question

C(x) = 0.000007x3 - 0.06x2 + 110x + 76000

C(x) = ??

(a) What is the marginal average cost function C' ?
C'(x) = ??

(b) Compute the following values. (Round your answers to three decimal places.)

C'(5,000) = ??

C'(10,000) = ??

Answer 1

average cost is total divided by quantity:
A(x) = C(x)/x

C'(x) = 0.000021x^2 - 0.12x + 110

Answer 2

0.000021x^2 - 0.12x +0