A manufacturer estimates that its product can be produced at a total cost of C(x) - 40,000 + 100x + x dollars. If the manufacturer's total revenue from the sale of x units is R(x) - 5800x dollars, determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest dollar.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
icon
Related questions
Topic Video
Question
A manufacturer estimates that its product can be produced at a total cost of C(x) = 40,000 + 100x + x dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 5800x dollars,
determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.)
units
Find the maximum profit. (Round your answer to the nearest dollar.)
$|
Transcribed Image Text:A manufacturer estimates that its product can be produced at a total cost of C(x) = 40,000 + 100x + x dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 5800x dollars, determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest dollar.) $|
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Optimization
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 (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
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
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill