3 Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p³ + x = 38,400. Determin the rate at which sales are changing at a time when x = 80, p=20, and the price is falling at the rate of $.20 per week. The rate at which sales are changing is thousand units per week.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p³ + x² = 38,400. Determine
the rate at which sales are changing at a time when x = 80, p=20, and the price is falling at the rate of $.20 per week.
The rate at which sales are changing is
thousand units per week.
C
Transcribed Image Text:Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p³ + x² = 38,400. Determine the rate at which sales are changing at a time when x = 80, p=20, and the price is falling at the rate of $.20 per week. The rate at which sales are changing is thousand units per week. C
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