Suppose that the demand for x units of a product is x = 15,000 - 150p where p dollars is the price per unit. Then the consumer expenditure for the product is E(p) = px = p(15,000 - 150p) = 15,000p - 150p2. 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 = 35

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 = 15,000 - 150p
where p dollars is the price per unit. Then the
consumer expenditure for the product is
E(p) = px = p(15,000 - 150p) = 15,000p - 150p².
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 = 35
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Transcribed Image Text:Suppose that the demand for x units of a product is x = 15,000 - 150p where p dollars is the price per unit. Then the consumer expenditure for the product is E(p) = px = p(15,000 - 150p) = 15,000p - 150p². 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 = 35 Need Help? Read It
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Given that: Demand, x=15000-150pConsumer Expenditure, E(p)=15000p=150p2

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