The marketing research department for a company that manufactures and sells memory chips for microcomputers established the following price-demand and revenue functions:  p(x)=75-3 xp(x)=75−3x  Price-demand function  R(x)=x p(x)=x(75-3 x)R(x)=xp(x)=x(75−3x)  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 <= 20

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.13P
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The marketing research department for a company that manufactures and sells memory chips for microcomputers established the following price-demand and revenue functions: 

p(x)=75-3 xp(x)=75−3x

 Price-demand function 

R(x)=x p(x)=x(75-3 x)R(x)=xp(x)=x(75−3x)

 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 <= 20

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