The number x of MP3 music players that a store will sell and their price p (in dollars) are related by the equation 4x² = 18,000 - p². Find dx/dp at p = 120. [Hint: You will have to find the value of x by substituting the given value of p into the original equation.] dx dp Interpret your answer. O Changing the price will not affect sales. O Sales will decrease by the absolute value of dx/dp for each $1 increase in price. O Sales will increase by the absolute value of dx/dp for each $1 increase in price.
The number x of MP3 music players that a store will sell and their price p (in dollars) are related by the equation 4x² = 18,000 - p². Find dx/dp at p = 120. [Hint: You will have to find the value of x by substituting the given value of p into the original equation.] dx dp Interpret your answer. O Changing the price will not affect sales. O Sales will decrease by the absolute value of dx/dp for each $1 increase in price. O Sales will increase by the absolute value of dx/dp for each $1 increase in price.
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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![The number x of MP3 music players that a store will sell and their price p (in dollars) are related by the equation 4x2 = 18,000 - p2. Find dx/dp at p = 120. [Hint: You will have to find
the value of x by substituting the given value of p into the original equation.]
dx
=
dp
Interpret your answer.
O Changing the price will not affect sales.
O Sales will decrease by the absolute value of dx/dp for each $1 increase in price.
O Sales will increase by the absolute value of dx/dp for each $1 increase in price.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F878f8be4-69b7-4718-b178-c61093312c6b%2Fafbf79c8-d69f-4c33-a1b2-507fe8bc4655%2Fk2lase_processed.png&w=3840&q=75)
Transcribed Image Text:The number x of MP3 music players that a store will sell and their price p (in dollars) are related by the equation 4x2 = 18,000 - p2. Find dx/dp at p = 120. [Hint: You will have to find
the value of x by substituting the given value of p into the original equation.]
dx
=
dp
Interpret your answer.
O Changing the price will not affect sales.
O Sales will decrease by the absolute value of dx/dp for each $1 increase in price.
O Sales will increase by the absolute value of dx/dp for each $1 increase in price.
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