Suppose that the demand function for a certain product is q = 250 – 2p. (a) Enter the equation for revenue R as a function of price p (Hint: See page 29 of your textbook.): R = (b) What is the (instantaneous) rate of change of revenue with respect to price when the price is $ 13? (c) At what price is the derivative of revenue with respect to price exactly zero?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Suppose that the demand function for a certain product is
q = 250 – 2p.
(a) Enter the equation for revenue R as a function of price p (Hint: See page 29 of your textbook.):
R =
(b) What is the (instantaneous) rate of change of revenue with respect to price when the price is $ 13?
(c) At what price is the derivative of revenue with respect to price exactly zero?
Transcribed Image Text:Suppose that the demand function for a certain product is q = 250 – 2p. (a) Enter the equation for revenue R as a function of price p (Hint: See page 29 of your textbook.): R = (b) What is the (instantaneous) rate of change of revenue with respect to price when the price is $ 13? (c) At what price is the derivative of revenue with respect to price exactly zero?
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