When the price of a certain commodity is p dollars per unit, customers demand x hundred units of the commodity, where x2 + 3px + p2 = 79 How fast is the demand x changing with respect to time when the price is $5 per unit and is decreasing at the rate of 30 cents per month (that is, dp/dt = -0.3 $/month)?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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When the price of a certain commodity is p dollars per unit, customers demand x hundred units of the commodity, where

x2 + 3px + p2 = 79

How fast is the demand x changing with respect to time when the price is $5 per unit and is decreasing at the rate of 30 cents per month (that is, dp/dt = -0.3 $/month)?

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