   Chapter 11.2, Problem 47E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Marginal cost Suppose that the total cost in dollars of producing x units of a product is given by C ( x ) = 10 , 000 + 20 x e x / 600 Find the marginal cost when 600 units are produced.*The mode occurs at the highest point on normal curses and equals the mean.

To determine

To calculate: The marginal cost for the function C(x)=10,000+20xex/600.

Explanation

Given Information:

Total cost in dollars for producing x units,

C(x)=10,000+20xex/600

Formula used:

The power rule of differentiation:

ddx(xn)=nxn1

The product rule of differentiation:

ddx[u(x)v(x)]=u(x)ddxv(x)+v(x)ddxu(x)

Where u and v are differentiable functions of x.

Calculation:

Consider the total cost in dollars for producing x units,

C(x)=10,000+20xex/600

Differentiate both sides with respect to x,

ddxC(x)=ddx(10,000+20xex/600)=ddx(10,000)+20ddx(xex/600)=20ddx(xex/600)

Now apply, the product rule of differentiation:

ddx[u(x)v(x)]=u(x)ddxv(x)+v(x)ddx<

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find the mean for the following set of scores: 2, 7, 9, 4, 5, 3, 0, 6

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### π does not exist

Study Guide for Stewart's Multivariable Calculus, 8th

#### π does not exist

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 