A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)= 74,000 + 80x and p(x) = 300- 0≤x≤6000. (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 $5 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 $ (Type integers or decimals.) when sets are manufactured and sold for $ each. (C) When each set is taxed at $5, the maximum profit is $ (Type integers or decimals.) when sets are manufactured and sold for $ each. 20'

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
Question
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)= 74,000 + 80x and p(x) = 300-
0≤x≤6000.
(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 $5 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 $
(Type integers or decimals.)
when
sets are manufactured and sold for $
each.
(C) When each set is taxed at $5, the maximum profit is $
(Type integers or decimals.)
when
sets are manufactured and sold for $
each.
20'
Transcribed Image Text:A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)= 74,000 + 80x and p(x) = 300- 0≤x≤6000. (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 $5 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 $ (Type integers or decimals.) when sets are manufactured and sold for $ each. (C) When each set is taxed at $5, the maximum profit is $ (Type integers or decimals.) when sets are manufactured and sold for $ each. 20'
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