Suppose that the demand for x units of a product is x = 13,000 130p where p dollars is the price per unit. Then the consumer expenditure for the product is E(p) =px = p(13,000 130p) = 13,000p - 130p². What is the instantaneous rate of change of consumer expenditure with respect to price at the following values? (a) any price p (b) (c) p = 15 P = 25

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.EA: Extended Application Estimating Depletion Dates For Minerals
Problem 4EA
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Suppose that the demand for x units of a product is
x = 13,000 130p
where p dollars is the price per unit. Then the consumer expenditure for the product is
E(p) = px= p(13,000 130p) = 13,000p -
What is the instantaneous rate of change of consumer expenditure with respect to price at the following values?
(a) any price p
(b)
(c)
p = 15
P = 25
130p².
Transcribed Image Text:Suppose that the demand for x units of a product is x = 13,000 130p where p dollars is the price per unit. Then the consumer expenditure for the product is E(p) = px= p(13,000 130p) = 13,000p - What is the instantaneous rate of change of consumer expenditure with respect to price at the following values? (a) any price p (b) (c) p = 15 P = 25 130p².
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