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Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 130 -0.75x. It also determines that the total cost of producing x suits is given by C(x) = 2500+0.5x². a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit? a) R(x) = b) P(x)= c) suits d) The maximum profit is S e) The price per unit must be s

Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 130 -0.75x. It also determines that the total cost of producing x suits is given by C(x) = 2500+0.5x². a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit? a) R(x) = b) P(x)= c) suits d) The maximum profit is S e) The price per unit must be s

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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**Problem:** Raggs, Ltd., a clothing firm, determines that in order to sell \( x \) suits, the price per suit must be \( p = 130 - 0.75x \). It also determines that the total cost of producing \( x \) suits is given by \( C(x) = 2500 + 0.5x^2 \). **Questions:** a) Find the total revenue, \( R(x) \). b) Find the total profit, \( P(x) \). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit? **Answer:** a) \( R(x) = \) [Text Box] b) \( P(x) = \) [Text Box] c) [Text Box] suits d) The maximum profit is [Text Box] e) The price per unit must be [Text Box]
Transcribed Image Text:**Problem:** Raggs, Ltd., a clothing firm, determines that in order to sell \( x \) suits, the price per suit must be \( p = 130 - 0.75x \). It also determines that the total cost of producing \( x \) suits is given by \( C(x) = 2500 + 0.5x^2 \). **Questions:** a) Find the total revenue, \( R(x) \). b) Find the total profit, \( P(x) \). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit? **Answer:** a) \( R(x) = \) [Text Box] b) \( P(x) = \) [Text Box] c) [Text Box] suits d) The maximum profit is [Text Box] e) The price per unit must be [Text Box]
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