You work for a company producing cell phones.  The cost C for producing x cell phones is C(x)=240x+50,000.  The revenue R received from selling x phones is modeled with the function R(x)=2000x−10x2. What are the fixed costs for your company?  That is, what are the costs even if you produce no cell phones? Round to the nearest cent if necessary.  What is the variable cost?  That is, what additional cost is there for producing one additional cell phone? Round to the nearest cent if necessary.  What number of cell phones would give your company the maximum revenue?  Round to the nearest whole number if necessary. How much revenue would your company bring in for this number of phones?  Round to the nearest cent if necessary.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
icon
Related questions
Question

You work for a company producing cell phones.  The cost C for producing x cell phones is C(x)=240x+50,000.  The revenue R received from selling x phones is modeled with the function R(x)=2000x−10x2.

  1. What are the fixed costs for your company?  That is, what are the costs even if you produce no cell phones? Round to the nearest cent if necessary. 
  2. What is the variable cost?  That is, what additional cost is there for producing one additional cell phone? Round to the nearest cent if necessary. 
  3. What number of cell phones would give your company the maximum revenue?  Round to the nearest whole number if necessary. How much revenue would your company bring in for this number of phones?  Round to the nearest cent if necessary. 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College