We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following​ price-demand and revenue​ functions:   p(x)=105−4x ​Price-demand function R(x)=xp(x)=x(105−4x) Revenue function   where​ p(x) is the wholesale price in dollars at which x million chips can be​ sold, and​ R(x) is in millions of dollars. Both functions have domain 1≤x≤21.     (B) Find the output that will produce the maximum revenue.     million chips ​(Type an integer or a fraction. Simplify your​ answer.)   What is the maximum​ revenue?     million ​(Round to two decimal​ places.)   ​(C) What is the wholesale price per chip that produces the maximum​ revenue?     ​(Round to the nearest​ dollar.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 88E
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We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following​ price-demand and revenue​ functions:
 
p(x)=105−4x
​Price-demand function
R(x)=xp(x)=x(105−4x)
Revenue function
 
where​ p(x) is the wholesale price in dollars at which x million chips can be​ sold, and​ R(x) is in millions of dollars. Both functions have domain
1≤x≤21.
 
 
(B) Find the output that will produce the maximum revenue.
 
 
million chips ​(Type an integer or a fraction. Simplify your​ answer.)
 
What is the maximum​ revenue?
 
 
million ​(Round to two decimal​ places.)
 
​(C) What is the wholesale price per chip that produces the maximum​ revenue?
 
 
​(Round to the nearest​ dollar.)
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