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) = 115 - 4x Price-demand function Revenue function R(x)=xp(x) = x(115-4x) 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≤23. (B) Find the output that will produce the maximum revenue. 115 8 million chips (Type an integer or a fraction. Simplify your answer.) What is the maximum revenue? $ 826.56 million (Round to two decimal places.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part of the problem, especially for the maximum revenue:

What is the maximum​ revenue?
$826.56 million ​(Round to two decimal​ places.)

.

 

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) = 115 - 4x
Price-demand function
Revenue function
R(x)=xp(x) = x(115-4x)
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≤23.
(B) Find the output that will produce the maximum revenue.
115
8
million chips (Type an integer or a fraction. Simplify your answer.)
What is the maximum revenue?
$ 826.56 million (Round to two decimal places.)
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) = 115 - 4x Price-demand function Revenue function R(x)=xp(x) = x(115-4x) 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≤23. (B) Find the output that will produce the maximum revenue. 115 8 million chips (Type an integer or a fraction. Simplify your answer.) What is the maximum revenue? $ 826.56 million (Round to two decimal places.)
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