International Trade and Protectionism: Question 7
Syllabus 6.1
Bregos and Talmira are the only two countries that produce Wheat and Furniture. Each country has exactly one worker-month of labour available, and that worker-month can be used to produce Wheat or Furniture, but not both at once, as shown in Table 1.
Table 1: maximum output from one worker-month
| Country | Wheat (tonnes) | Furniture (units) |
|---|---|---|
| Bregos | 80 | 20 |
| Talmira | 30 | 15 |
(a) Using Table 1, calculate the opportunity cost of producing one unit of Furniture, in terms of tonnes of Wheat given up, in each country. Show your working. [3]
(b) State, with a reason, which country has the comparative advantage in producing Furniture. [2]
(c) State the range of terms of trade, expressed as tonnes of Wheat exchanged per unit of Furniture, within which trade in Furniture for Wheat would benefit both countries. Explain your reasoning. [4]
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Worked solution
Part (a): Opportunity cost of Furniture in each country
The opportunity cost of producing one extra unit of Furniture is the quantity of Wheat that a worker-month could instead have produced:
For Bregos:
For Talmira:
So producing one more unit of Furniture costs Bregos 4 tonnes of Wheat, but it costs Talmira only 2 tonnes of Wheat.
Part (b): Comparative advantage in Furniture
Comparing the two opportunity costs, Talmira’s opportunity cost of Furniture (2 tonnes of Wheat) is lower than Bregos’s (4 tonnes of Wheat). Since Talmira sacrifices relatively less Wheat output to produce Furniture, Talmira has the comparative advantage in Furniture. Even though it produces fewer absolute units of Furniture per worker-month than Bregos (15 against 20).
By elimination, Bregos has the comparative advantage in Wheat, which can be checked directly: the opportunity cost of one tonne of Wheat is Furniture output divided by Wheat output, giving Bregos units of Furniture, against Talmira’s units of Furniture. Since , Bregos does give up less Furniture per tonne of Wheat, confirming Bregos’s comparative advantage in Wheat.
Part (c): The mutually beneficial terms of trade range
For specialisation and trade to benefit both countries, the terms of trade (tonnes of Wheat given up per unit of Furniture received) must lie strictly between the two countries’ own opportunity costs of Furniture.
- Talmira specialises in and exports Furniture. Producing Wheat itself would cost Talmira only 2 tonnes of Wheat “worth” of resources per unit of Furniture it gives up, so Talmira will only agree to export Furniture if it receives more than 2 tonnes of Wheat per unit. Otherwise it would do at least as well producing Wheat directly.
- Bregos specialises in and exports Wheat, importing Furniture in return. Producing Furniture itself would cost Bregos 4 tonnes of Wheat per unit, so Bregos will only agree to import Furniture if it pays less than 4 tonnes of Wheat per unit. Otherwise it would do at least as well producing Furniture domestically.
Combining both conditions, trade benefits both countries at any terms of trade strictly between:
Any exchange rate inside this range gives each country a better deal from trading than it could achieve by producing both goods itself.
Final answers
- (a) Opportunity cost of 1 unit of Furniture: Bregos 4 tonnes of Wheat; Talmira 2 tonnes of Wheat.
- (b) Talmira has the comparative advantage in Furniture (lower opportunity cost, 2 < 4).
- (c) Mutually beneficial terms of trade between 2 and 4 tonnes of Wheat per unit of Furniture.