Find the average cost function if cost and revenue are given by C(x) = 127 + 8.6x and R(x) = 3x-0.04x. The average cost function is C(x) =| .

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
### Average Cost Function Calculation

**Problem Statement:**

Find the average cost function if cost and revenue are given by:

\[ C(x) = 127 + 8.6x \]

and 

\[ R(x) = 3x - 0.04x^2 \]

**Solution:**

The average cost function \( \overline{C}(x) \) is calculated as:

\[ \overline{C}(x) = \frac{C(x)}{x} \]

where \( C(x) \) is the total cost function. 

Given that:

\[ C(x) = 127 + 8.6x \]

The average cost function is:

\[ \overline{C}(x) = \frac{127 + 8.6x}{x} \]

### Final Result:

The average cost function is:

\[ \overline{C}(x) = \frac{127 + 8.6x}{x} \]

For further learning, you can analyze how changes in \( x \), the number of units produced, affect the average cost function. This is a fundamental concept in cost analysis in economics and helps in determining the most efficient level of production.
Transcribed Image Text:### Average Cost Function Calculation **Problem Statement:** Find the average cost function if cost and revenue are given by: \[ C(x) = 127 + 8.6x \] and \[ R(x) = 3x - 0.04x^2 \] **Solution:** The average cost function \( \overline{C}(x) \) is calculated as: \[ \overline{C}(x) = \frac{C(x)}{x} \] where \( C(x) \) is the total cost function. Given that: \[ C(x) = 127 + 8.6x \] The average cost function is: \[ \overline{C}(x) = \frac{127 + 8.6x}{x} \] ### Final Result: The average cost function is: \[ \overline{C}(x) = \frac{127 + 8.6x}{x} \] For further learning, you can analyze how changes in \( x \), the number of units produced, affect the average cost function. This is a fundamental concept in cost analysis in economics and helps in determining the most efficient level of production.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Cost Function
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education