Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p=180−0.5x. It also determines that the total cost of producing x suits is given by C(x)=2000+0.75x2. 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?

Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p=180−0.5x. It also determines that the total cost of producing x suits is given by C(x)=2000+0.75x2. 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?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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