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)=85-3x Price-demand function Revenue function R(x)=xp(x) = x(85-3x) 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 sxs 17.

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...
icon
Related questions
Question

No hand written responses. Can you help me solve this problem by providing a step-by-step breakdown in laymens terms for each part so that I can work through it on my own? 

​(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 2 decimals)
 
(C) What is the wholesale price per chip that produces the maximum revenue? ____ million (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)=85-3x
Price-demand function
Revenue function
R(x)= xp(x)=x(85 - 3x)
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≤ 17.
Transcribed Image Text: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)=85-3x Price-demand function Revenue function R(x)= xp(x)=x(85 - 3x) 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≤ 17.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage