The demand equation for a monopolistʹs product is p = 200 - 0.98q, where p is the price per unit (in dollars) of producing q units. If the total cost c (in dollars) of producing 8 units is given by c = 0.02q2 + 2q + 8000, find the level of production at which profit is maximized. Calculate the maximum profit.

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

The demand equation for a monopolistʹs product is p = 200 - 0.98q, where p is the price per unit (in dollars) of producing q units. If the total cost c (in dollars) of producing 8 units is given by

c = 0.02q2 + 2q + 8000, find the level of production at which profit is maximized. Calculate the maximum profit.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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