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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 3.8, Problem 29E

(a)

To determine

**To find:** The marginal cost function if the cost function is

Expert Solution

The marginal cost function is,

The cost function is

Obtain the derivative of the cost function and obtain the marginal function.

Thus, the marginal cost function is,

(b)

To determine

**To find:** The value of

Expert Solution

The value of

From part (a), the marginal cost function is,

Substitute *x* = 100 in

Therefore, the value of

(c)

To determine

**To compare:** The values of

Expert Solution

The cost of manufacturing the 101st pair of jeans is approximately $11.07.

From part (b), the value of

The cost of manufacturing the 101st pair of jeans is calculated by,

Substitute *x* = 100 in

Substitute *x* = 101 in

Substitute the respective values in

The cost of manufacturing the 101st pair of jeans is approximately $11.07, which is very close to the marginal cost of