Question 6 The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t) is the number of stores and S(t) is the average revenue per store per month. Couture releases a statement to their investors saying that currently they have 50 stores with a total revenue of $7,500,000 and expect to increase the number of stores by about 2 stores per month and increase total revenue by about $250,000 per month. What does this statement imply about the current rate of change of the average revenue per store per month?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Question 6 The revenue per month earned by the Couture clothing chain at time t is
R(t) = N(t)S(t),
where N(t) is the number of stores and S(t) is the average revenue per store per month. Couture
releases a statement to their investors saying that currently they have 50 stores with a total revenue
of $7,500,000 and expect to increase the number of stores by about 2 stores per month and increase
total revenue by about $250,000 per month. What does this statement imply about the current rate
of change of the average revenue per store per month?
Transcribed Image Text:Question 6 The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t) is the number of stores and S(t) is the average revenue per store per month. Couture releases a statement to their investors saying that currently they have 50 stores with a total revenue of $7,500,000 and expect to increase the number of stores by about 2 stores per month and increase total revenue by about $250,000 per month. What does this statement imply about the current rate of change of the average revenue per store per month?
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