2. Pretend it's 2005 and people still use iPods. All iPod owners consider only two options for downloading music to their MP3 players: purchase songs from iTunes, or copy songs from friends' CDs (it's 2005, so people still own CDs, too). With these two options, suppose the weekly inverse market demand for the song “All These Things That I've Done" by The Killers (remember, it's 2005) is p= 1.98 – 0.00198Q Suppose the marginal cost to Apple of you downloading a song is zero. (a) What is Apple's optimal price of "All These Things That I've Done"? (b) How many downloads of “All These Things That I've Done" do they sell? (c) Now suppose Apple sells a version of the iPod equipped with software in which songs played on the iPod must be downloaded from iTunes. For this iPod, the inverse market demand for "All These Things That I've Done" is p downloads for this player? How many downloads do they sell each week? 2.75 – 0.003Q. What is Apple's optimal price of

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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2. Pretend it's 2005 and people still use iPods. All iPod owners consider
only two options for downloading music to their MP3 players: purchase
songs from iTunes, or copy songs from friends' CDs (it's 2005, so people
still own CDs, too). With these two options, suppose the weekly inverse
market demand for the song “All These Things That I've Done" by The
Killers (remember, it's 2005) is
p= 1.98 – 0.00198Q
Suppose the marginal cost to Apple of you downloading a song is zero.
(a) What is Apple's optimal price of "All These Things That I've Done"?
(b) How many downloads of “All These Things That I've Done" do they
sell?
(c) Now suppose Apple sells a version of the iPod equipped with software
in which songs played on the iPod must be downloaded from iTunes.
For this iPod, the inverse market demand for "All These Things That
I've Done" is p
downloads for this player? How many downloads do they sell each
week?
2.75 – 0.003Q. What is Apple's optimal price of
Transcribed Image Text:2. Pretend it's 2005 and people still use iPods. All iPod owners consider only two options for downloading music to their MP3 players: purchase songs from iTunes, or copy songs from friends' CDs (it's 2005, so people still own CDs, too). With these two options, suppose the weekly inverse market demand for the song “All These Things That I've Done" by The Killers (remember, it's 2005) is p= 1.98 – 0.00198Q Suppose the marginal cost to Apple of you downloading a song is zero. (a) What is Apple's optimal price of "All These Things That I've Done"? (b) How many downloads of “All These Things That I've Done" do they sell? (c) Now suppose Apple sells a version of the iPod equipped with software in which songs played on the iPod must be downloaded from iTunes. For this iPod, the inverse market demand for "All These Things That I've Done" is p downloads for this player? How many downloads do they sell each week? 2.75 – 0.003Q. What is Apple's optimal price of
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