A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 75,000 + 80x and p(x) = 300 - ,0sxs 9000. 30 (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 $ when sets are manufactured and sold for $ each. (Type integers or decimals.) (C) When each set is taxed at $5, the maximum profit is $ when sets are manufactured and sold for $ each. (Type integers or decimals.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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\ 1.6.2
A company manufactures and sells x television sets per month. The monthly cost and
price-demand equations are C(x) = 75,000 + 80x and p(x) = 300-
Osxs 9000.
30'
(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 $
when
sets are manufactured and
sold for $
each.
(Type integers or decimals.)
(C) When each set is taxed at $5, the maximum profit is $
when
sets are manufactured and sold for S
each.
(Type integers or decimals.)
Transcribed Image Text:\ 1.6.2 A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 75,000 + 80x and p(x) = 300- Osxs 9000. 30' (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 $ when sets are manufactured and sold for $ each. (Type integers or decimals.) (C) When each set is taxed at $5, the maximum profit is $ when sets are manufactured and sold for S each. (Type integers or decimals.)
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