he latest demand equation for your "Banjos Rock" T-shirts is given by q = −50x + 3600 where q is the number of shirts you can sell in one week if you charge x dollars per shirt. When you charge x dollars per shirt, your weekly cost function (in dollars) is given by C(x) = −900x + 85050 (a) Find the weekly profit as a function of the price per shirt x. (Simplify your answer completely.) Hint: You are NOT given a revenue function. P(x) = (b) Determine the unit price you should charge to break even. Enter the smaller value first. You break even, when you charge or dollars per shirt. When you set the price per shirt to one of these values, your profit is dollars.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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he latest demand equation for your "Banjos Rock" T-shirts is given by

q = −50x + 3600

where q is the number of shirts you can sell in one week if you charge x dollars per shirt. When you charge x dollars per shirt, your weekly cost function (in dollars) is given by

C(x) = −900x + 85050

(a) Find the weekly profit as a function of the price per shirt x. (Simplify your answer completely.)

Hint: You are NOT given a revenue function.

P(x) =  

(b) Determine the unit price you should charge to break even. Enter the smaller value first.
You break even, when you charge   or   dollars per shirt.
When you set the price per shirt to one of these values, your profit is   dollars.
 
 
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