The price of a popular gaming console is related to the quantity demanded by the equation 2p² + x² = 41 where p is the price (in hundreds of dollars) and x is the number of consoles demanded (in thousands). Determine how fast the quantity demanded is changing when the price is set at $400 (p = 4), the quantity demanded is 3000 (x = 3), and the price is decreasing at the rate of $2 per week (p' = -0.02). Give your answer as a whole number (remember that the quantity demanded is measured in thousands). Make sure to indicate whether it is increasing or decreasing and include the correct units.
The price of a popular gaming console is related to the quantity demanded by the equation 2p² + x² = 41 where p is the price (in hundreds of dollars) and x is the number of consoles demanded (in thousands). Determine how fast the quantity demanded is changing when the price is set at $400 (p = 4), the quantity demanded is 3000 (x = 3), and the price is decreasing at the rate of $2 per week (p' = -0.02). Give your answer as a whole number (remember that the quantity demanded is measured in thousands). Make sure to indicate whether it is increasing or decreasing and include the correct units.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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