The DeWitt Company has found that the rate of change of its average cost for a product is C '(x) =  1 4 −  100 x2  where x is the number of units and cost is in dollars. The average cost of producing 4 units is $56.00. (a) Find the average cost function for the product. C  =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
icon
Related questions
Question

The DeWitt Company has found that the rate of change of its average cost for a product is

C '(x) = 
1
4
 − 
100
x2
 

where x is the number of units and cost is in dollars. The average cost of producing 4 units is $56.00.

(a) Find the average cost function for the product.
C
 = 
 
 
 
 

(b) Find the average cost of 60 units of the product. (Round your answer to two decimal places.)
$
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Rate of Change
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning