Answered: The average cost of a product changes…

The average cost of a product changes at the rate C '(x) = −8x−2 + 1/8 and the average cost of 8 units is $13.00. (a) Find the average cost function. (B) find the average cost of 16 units

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 56E

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Question

Cost, revenue, and profit are in dollars and x is the number of units.

The average cost of a product changes at the rate

C '(x) = −8x⁻² + 1/8

and the average cost of 8 units is $13.00.

(a) Find the average cost function.

(B) find the average cost of 16 units (Round your answer to the nearest cent.)

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