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Suppose the domestic supply (Qs) and demand (Qd) for MP3 players in the U.S. are

ID: 1222813 • Letter: S

Question

Suppose the domestic supply (Qs) and demand (Qd) for MP3 players in the U.S. are given by the set of equations that follows:

    P = 2.5 + 0.1Qs                               P = 175 – 0.2Qd  

A. In the absence of international trade in MP3 players (autarky), the price of MP3 is $60. How many MP3 players will be produced (supplied) and demanded in the United States?

B. If the U.S. can import MP3 players from the rest of the world at a per unit price of $50, how many MP3 players will be produced in the U.S.?

C. If the U.S. can import MP3 players from the rest of the world at a per unit price of $50, what will be the total demand for MP3 players in the United States?

D. If the U.S. engages in free trade and the international price of MP3 players is $50, it would import _____ MP3 players from the rest of the world.

E. Net gain for the United States after trade is ____.

Explanation / Answer

A. Putting P = 60 in both demand and supply functions.

QS : 60 = 2.5+0.1QS or Qs = 575 units

and Qd : 60 = 175 -0.2Qd or Qd = 575 units.

Thus at price of $60, 575 MP3 players will be produced and sold in US in autarky.

B ) At $50 QS : 50 = 2.5 +0.1Qs or Qs = 475 units.

Thus when US imports MP3 at price of $50, US will produce 475 MP# players.

C) At $50 Qd : 50 = 175 - 0.2Qd or Qd = 625 units.

Thus when US imports MP3 at price of $50, US will demand 625 MP3 players.

D) If the U.S. engages in free trade and the international price of MP3 players is $50, it would import "Demand at $50 - Domestic supply at $50 = 625-475 = 150 "MP3 players from the rest of the world.

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