A firm determines that in order to sell x flat screen TVs, the price per TV, in dollars, must be p(x)=201−x.  The firm also determines that the total cost of producing x TVs is given by C(x)=500+x. a) Find the total revenue when x=50.  R(50)=$Answer b) Find the total profit when x=50.  P(50)=$Answer c) How many TVs must the company produce and sell in order to maximize profit? x^max= d) What is the maximum profit? P(x^max)=$

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 50CR
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A firm determines that in order to sell x flat screen TVs, the price per TV, in dollars, must be p(x)=201−x.

 The firm also determines that the total cost of producing x TVs is given by C(x)=500+x.

a) Find the total revenue when x=50.  R(50)=$Answer

b) Find the total profit when x=50.  P(50)=$Answer

c) How many TVs must the company produce and sell in order to maximize profit? x^max=

d) What is the maximum profit? P(x^max)=$

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