Chapter 2.7, Problem 29E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Suppose that the cost (in dollars) for a company to produce *x* pairs of a new line of jeans is

(a) Find the marginal cost function.

(b) Find *C′* (100) and explain its meaning. What does it predict?

(c) Compare *C′*(100) with the cost of manufacturing the 101st pair of jeans.

To determine

**Part (a)**

**To find**: the marginal cost function.

Explanation

To find the marginal cost function, take derivative of given cost function.

**1) Formula**:

Power rule,

**2) Given**:

**3) Calculation**:

To determine

**Part (b)**

**To find**:

To determine

**Part (c)**

**To compare**: ^{st} pair of jeans.

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