A firm has monthly average costs, in dollars, given by C =  41,000 x + 300 + x where x is the number of units produced per month. The firm can sell its product in a competitive market for $1900 per unit. If production is limited to 250 units per month, find the number of units that gives maximum profit. x =   units Find the maximum profit. $

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter7: Rational Expressions And Functions
Section7.5: Solve Applications With Rational Equations
Problem 7.106TI: Xander’s new business found that the daily demand for its product was inversely proportional to the...
icon
Related questions
Question

A firm has monthly average costs, in dollars, given by

C = 
41,000
x
 + 300 + x

where x is the number of units produced per month. The firm can sell its product in a competitive market for $1900 per unit. If production is limited to 250 units per month, find the number of units that gives maximum profit.
x =   units

Find the maximum profit.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Inequality
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
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage