Chapter 5.1, Problem 57E

### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Chapter
Section

### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
4 views

# Finding a Cost Function In Exercises 55–58, find the cost function for the given marginal cost and fixed cost. See Example 8. Marginal   Cost Fixed   Cost   ( x = 0 ) d C d x = 1 50 x + 4 $750 To determine To calculate: The cost function for the marginal cost dCdx=120x+4 that have a fixed cost of$750.

Explanation

Given Information:

The marginal cost is dCdx=120x+4 and the fixed cost is \$750.

Formula used:

The sum rule of basic integration [f(x)+g(x)]dx=f(x)dx+g(x)dx.

The simple power rule of integration xndx=xn+1n+1+C.

Calculation:

Consider the marginal cost, dCdx=120x+4.

Integrate the provided marginal cost, use the sum rule of basic integration [f(x)+g(x)]dx=f(x)dx+g(x)dx.

dCdxdx=(120x+4)dxC(x)=120xdx+4dx=1201x12dx+41dx=120x12dx+41dx

Use the simple power rule of integration xndx=xn+1n+1+C

### 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

#### Evaluate the integral. 12(3u2)(u+1)du

Single Variable Calculus: Early Transcendentals, Volume I

#### In Problems 45-51, solve each system of equations. 47.

Mathematical Applications for the Management, Life, and Social Sciences

#### Find for x = 3t2 + 1, y = t6 + 6t5. t4 + 5t3 4t3 + 15t2

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

#### Solve x3=4.3.

Mathematics For Machine Technology