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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
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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