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.)
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
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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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
million chips (Type an integer or a fraction. Simplify your answer.)
million (Round to two decimal places.)
(Round to the nearest dollar.)
1≤x≤21.
(B) Find the output that will produce the maximum revenue.
What is the maximum revenue?
(C) What is the wholesale price per chip that produces the maximum revenue?
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