A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) =72,000 + 50x and p(x) = 300 – 30 Osxs9000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company 56 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each set? (A) The maximum revenue is S (Type an integer or a decimal.) (B) The maximum profit is $[ (Type integers or decimals.) sets are manufactured and sold for S each. when (C) When each set is taxed at $6, the maximum profit is S when (Type integers or decimals ) sets are manufactured and sold for each.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
icon
Related questions
Topic Video
Question
3.20
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 72,000 + 50x and p(x) = 300
30
Osxs 9000.
(A) Find the maximum revenue.
(B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set.
(C) If the government decides to tax the company S6 for each set it produces, how many sets should the company manufacture each month to maximize its
profit? What is the maximum profit? What should the company charge for each set?
(A) The maximum revenue is $
(Type an integer or a decimal.)
(B) The maximum profit is S when
(Type integers or decimals.)
sets are manufactured and sold for $
each.
(C) When each set is taxed at $6, the maximum profit is $ when
(Type integers or decimals.)
sets are manufactured and sold for S
each.
Transcribed Image Text:3.20 A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 72,000 + 50x and p(x) = 300 30 Osxs 9000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company S6 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each set? (A) The maximum revenue is $ (Type an integer or a decimal.) (B) The maximum profit is S when (Type integers or decimals.) sets are manufactured and sold for $ each. (C) When each set is taxed at $6, the maximum profit is $ when (Type integers or decimals.) sets are manufactured and sold for S each.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 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
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning