   Chapter 4.5, Problem 77E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

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

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

# Minimum Average Cost The cost of producing x units of a product is modeled by C =  5 00   +  300 x −  300  ln x , x ≥   1 .(a) Find the average cost function C ¯ .(b) Find the minimum average cost analytically. Use a graphing utility to confirm your result.

(a)

To determine

To calculate: The average cost function C¯ if the model of cost for producing x of an item is C=500+300x300lnx,  x1

Explanation

Given Information:

The model of cost for producing x of an item is C=500+300x300lnx,  x1

Formula used:

If the cost of producing x number of items is C then the average cost of the function is basically the total cost divided by total number of items produced given by.

C¯=Cx

Calculation:

Consider the model, C=500+300x300lnx

Evaluate the average cost by dividing the cost function by number of items.

Here, number of items produced are x.

C¯=Cx=500+300x300ln

(b)

To determine

To calculate: The minimum average cost if the model of cost for producing x of an item is C=500+300x300lnx,  x1, also verify the result using graphing utility.

### 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

#### Expand each expression in Exercises 122. (x+1x)2

Finite Mathematics and Applied Calculus (MindTap Course List)

#### (rn)4r52n

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### The area of the shaded region is given by:

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

#### Find x.

Mathematics For Machine Technology 