Problem set
Exercise 2.1
Assume there are just two countries in the world, i.e. the European Union (EU) and the Rest of the World (RW). Both countries produce and consume 2 products: bicycles (b) and apples (a). Per bike, the EU puts in 3 hours of labour while the RW puts in 5. Per ton of apples, the EU needs 2 hours v. the RW 1 hour of labour. A further given is that the EU has 2400 hours of labour available v. RW 1600. The world relative demand has the following form: demand for bikes/demand for apples = price of apples/price of bikes.
Please answer the following questions:
a. How high are the opportunity costs of a bike in the EU and the RW in the absence of international trade? Also give the opportunity costs of a ton of apples in both countries. Which product will the EU be exporting?
Required hours of labour per product unit
| |Bicycles (unit) |Apples (ton) |
|EU (2400) |3 (800) |2 (1200) |
|RW (1600) |5 (320) |1 (1600) |
EU opportunity cost of bike (per unit) in terms of apples (in tons): 3/2 or 1.5 Opportunity cost of apples (in tons) in terms of bike unit: 2/3 RW opportunity cost of bike (per unit) in terms of apples (in tons): 5/1 or 5 Opportunity cost of apples (in tons) in terms of bike unit: 1/5 or 0.2
The EU will be exporting bicycles, because they possess a comparative advantage.
b. Draw the production possibility frontier for the EU.
L/a LB = 800 L/a LA = 1200 Slope: price B/A
c. What is the relative price of a bike in the EU in the absence of