Suppose that the demand for x units of a product is x = 9,000 – 90p where p dollars is the price per unit. Then the consumer expenditure for the product is E(p) = px = p(9,000 – 90p) = 9,000p – 90p². What is the instantaneous rate of change of consumer expenditure with respect to price at the following values? (а) any price p (b) р%3D 5 (c) p = 40

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 for x units of a product is
x = 9,000 – 90p
where p dollars is the price per unit. Then the consumer expenditure for the product is
E(p) = px = p(9,000 – 90p) = 9,000p – 90p2.
What is the instantaneous rate of change of consumer expenditure with respect to price at the following values?
(a)
any price p
|
(b) p = 5
(c)
p = 40
Transcribed Image Text:Suppose that the demand for x units of a product is x = 9,000 – 90p where p dollars is the price per unit. Then the consumer expenditure for the product is E(p) = px = p(9,000 – 90p) = 9,000p – 90p2. What is the instantaneous rate of change of consumer expenditure with respect to price at the following values? (a) any price p | (b) p = 5 (c) p = 40
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