1. 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)=90−3x Price-demand function R(x)=xp(x)=x(90−3x) Revenue function where p(x) is the wholesale price in dollars at which x million chips can besold, and R(x) is in millions of dollars. Both functions have domain 1≤x≤18. A) Which of the following is the graph of the revenue function? (B) Find the output that will produce the maximum revenue. (C) What is the wholesale price per chip that produces the maximum revenue? I stuck at the part where = −3(2x^2+90x) I am supposted to add number in to complete the square inside the parentheses and add outside the parenthes? what I don't what the number is and how to get it? can explain that part to me. Thank You
1. 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)=90−3x Price-demand function R(x)=xp(x)=x(90−3x) Revenue function where p(x) is the wholesale price in dollars at which x million chips can besold, and R(x) is in millions of dollars. Both functions have domain 1≤x≤18. A) Which of the following is the graph of the revenue function? (B) Find the output that will produce the maximum revenue. (C) What is the wholesale price per chip that produces the maximum revenue? I stuck at the part where = −3(2x^2+90x) I am supposted to add number in to complete the square inside the parentheses and add outside the parenthes? what I don't what the number is and how to get it? can explain that part to me. Thank You
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. 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)=90−3x
|
Price-demand function
|
|
R(x)=xp(x)=x(90−3x)
|
Revenue function
|
where p(x) is the wholesale price in dollars at which x million chips can besold, and R(x) is in millions of dollars. Both functions have domain 1≤x≤18.
A) Which of the following is the graph of the revenue function?
(B) Find the output that will produce the maximum revenue.
(C) What is the wholesale price per chip that produces the maximum revenue?
I stuck at the part where
|
=
|
−3(2x^2+90x)
|
|
I am supposted to add number in to complete the square inside the parentheses and add outside the parenthes? what I don't what the number is and how to get it? can explain that part to me.
Thank You
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