Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain commodity satisfy the demand equation 6p^3+x^2= 234,375 .Determine the rate at which sales are changing at a time when x= 375 ​,p= 25 ,and the price is falling at the rate of ​$.60 per week.   The rate at which sales are changing is ______thousand units per week.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain commodity satisfy the demand equation 6p^3+x^2= 234,375 .Determine the rate at which sales are changing at a time when x= 375 ​,p= 25 ,and the price is falling at the rate of ​$.60 per week.

 
The rate at which sales are changing is ______thousand units per week.
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