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Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 150 – 0.5x. It also determines that the total cost of producing x suits is given by C(x) = 3000 + 0.25x. 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?

Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 150 – 0.5x. It also determines that the total cost of producing x suits is given by C(x) = 3000 + 0.25x. 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?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
Section: Chapter Questions
Problem 17T: A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for...
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Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 150 -0.5x. It also %3D determines that the total cost of producing x suits is given by C(x) = 3000 + 0.25x. 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) = %3D b) P(x) = %3D c) suits d) The maximum profit is $ e) The price per unit must be $ ? Enter your answer in each of the answer boxes.
Transcribed Image Text:Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 150 -0.5x. It also %3D determines that the total cost of producing x suits is given by C(x) = 3000 + 0.25x. 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) = %3D b) P(x) = %3D c) suits d) The maximum profit is $ e) The price per unit must be $ ? Enter your answer in each of the answer boxes.
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