A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are X C(x) = 74,000 + 60x and p(x) = 250- (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. 20 , 0≤x≤ 5000. (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? ...

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve A-C
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are
X
C(x) = 74,000 + 60x and p(x) = 250-
(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.
20
, 0≤x≤ 5000.
(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?
....
Transcribed Image Text:A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are X C(x) = 74,000 + 60x and p(x) = 250- (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. 20 , 0≤x≤ 5000. (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? ....
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