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Business: Maximizing Revenue. Cruzing Tunes determines that in order to sell x units of a new car stereo, the price per unit, in dollars, must be P(x) = 1000 <- x. It also determines that the total cost of producing x units is given by C(x)= 3000 + 20x. a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many units must be made and sold in order to maximize profit? d) What is the maximum profit? e) What price per unit must be charged in order to make this maximum profit?

Business: Maximizing Revenue. Cruzing Tunes determines that in order to sell x units of a new car stereo, the price per unit, in dollars, must be P(x) = 1000 <- x. It also determines that the total cost of producing x units is given by C(x)= 3000 + 20x. a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many units must be made and sold in order to maximize profit? d) What is the maximum profit? e) What price per unit must be charged in order to make this maximum profit?

Calculus: Early Transcendentals
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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Please help with # 13

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Problem Number 12 Determine the vertical asymptotes of f(x)= 3x - 2 x(x - 5)(x + 3) Problem Number 13 Business: Maximizing Revenue. Cruzing Tunes determines that in order to sell x units of a new car stereo, the price per unit, in dollars, must be p(x) = 1000 - x. It also determines that the total cost of producing x units is given by = 3000 + 20x. C(x) = a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many units must be made and sold in order to maximize profit? d) What is the maximum profit? e) What price per unit must be charged in order to make this maximum profit?
Transcribed Image Text:Problem Number 12 Determine the vertical asymptotes of f(x)= 3x - 2 x(x - 5)(x + 3) Problem Number 13 Business: Maximizing Revenue. Cruzing Tunes determines that in order to sell x units of a new car stereo, the price per unit, in dollars, must be p(x) = 1000 - x. It also determines that the total cost of producing x units is given by = 3000 + 20x. C(x) = a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many units must be made and sold in order to maximize profit? d) What is the maximum profit? e) What price per unit must be charged in order to make this maximum profit?
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