(a)
To find: The marginal cost function if the cost function is
(a)
Answer to Problem 29E
The marginal cost function is,
Explanation of Solution
The cost function is
Obtain the derivative of the cost function and obtain the marginal function.
Thus, the marginal cost function is,
(b)
To find: The value of
(b)
Answer to Problem 29E
The value of
Explanation of Solution
From part (a), the marginal cost function is,
Substitute x = 100 in
Therefore, the value of
(c)
To compare: The values of
(c)
Answer to Problem 29E
The cost of manufacturing the 101st pair of jeans is approximately $11.07.
Explanation of Solution
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
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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