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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

The cost function for a certain commodity is

C(q) = 84 + 0.16q – 0.0006q2 + 0.000003q3

(a) Find and interpret C′(100).

(b) Compare C′(100) with the cost of producing the 101st item.

(a)

To determine

To find: The value of C'(100) and interpret the result if the cost function is, C(q)=84+0.16q0.0006q2+0.000003q3.

Explanation

The cost function is C(q)=84+0.16q0.0006q2+0.000003q3.

Obtain the derivative of the cost function.

C'(q)=ddx(84+0.16q0.0006q2+0.000003q3)=0.160.0012q+0

(b)

To determine

To find: Compare the values of C'(100) and the cost of manufacturing the 101st item.

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