3. The demand function for an item is given by (20 − p)³ x= when 1 ≤p ≤ 20. (a) Find the demand x when price is 10. (b) Find E(p) and E(10). (c) Based on the value of E(10), what happens when we increase prices by 1%? (d) Using the demand in part(a) and the decrease percentage in part (c), estimate the new demand when price goes from $10 to $10.10 (a 1% increase). (e) Find the actual demand when p = 10.10 and compare with the previous problem.

Principles Of Marketing
17th Edition
ISBN:9780134492513
Author:Kotler, Philip, Armstrong, Gary (gary M.)
Publisher:Kotler, Philip, Armstrong, Gary (gary M.)
Chapter1: Marketing: Creating Customer Value And Engagement
Section: Chapter Questions
Problem 1.1DQ
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3. The demand function for an item is given by
(20 − p)³
X =
when 1 ≤p ≤ 20.
(a) Find the demand x when price is 10.
(b) Find E(p) and E(10).
(c) Based on the value of E(10), what happens when we increase prices by 1%?
(d) Using the demand in part(a) and the decrease percentage in part (c), estimate
the new demand when price goes from $10 to $10.10 (a 1% increase).
(e) Find the actual demand when p = 10.10 and compare with the previous problem.
Transcribed Image Text:3. The demand function for an item is given by (20 − p)³ X = when 1 ≤p ≤ 20. (a) Find the demand x when price is 10. (b) Find E(p) and E(10). (c) Based on the value of E(10), what happens when we increase prices by 1%? (d) Using the demand in part(a) and the decrease percentage in part (c), estimate the new demand when price goes from $10 to $10.10 (a 1% increase). (e) Find the actual demand when p = 10.10 and compare with the previous problem.
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