In: Economics
Situation: Brazil and Chile can produce cloth and wheat. In Chile, the labor requirement for a yard of cloth is 6 hours while the requirement for a bushel of wheat is 9 hours. In Brazil, the requirement for a yard of cloth is 6 hours while that for a bushel of wheat is 10 hours.
Question: Suppose the unit labor requirement for wheat in Brazil falls to 6 hours per bushel. Would this productivity improvement in Brazil impact the pattern of trade (i.e., who imports and exports what)?
Before change in the unit labor requirement,
Opportunity cost of 1 yard of cloth in Brazil = Labor requirement
for cloth/Labor requirement for wheat = 6/10 = 0.6 bushel of
wheat
Opportunity cost of 1 yard of cloth in Chile = Labor requirement
for cloth/Labor requirement for wheat = 6/9 = 0.67 bushel of
wheat
So, Brazil has comparative advantage in cloth as it has lower opportunity cost. Thus, Brazil will export cloth and Chile will import cloth.
Opportunity cost of 1 bushel of wheat in Brazil = Labor
requirement for wheat/Labor requirement for cloth = 10/6 = 1.67
yard of cloth
Opportunity cost of 1 bushel of wheat in Chile = Labor requirement
for wheat/Labor requirement for cloth = 9/6 = 1.5 yard of
cloth
So, Chile has comparative advantage in wheat as it has lower
opportunity cost. Thus, Chile will export wheat and Brazil will
import wheat.
After change in the unit labor requirement,
Opportunity cost of 1 yard of cloth in Brazil = Labor requirement
for cloth/Labor requirement for wheat = 6/6 = 1 bushel of
wheat
Opportunity cost of 1 yard of cloth in Chile = Labor requirement
for cloth/Labor requirement for wheat = 6/9 = 0.67 bushel of
wheat
So, Chile has comparative advantage in cloth as it has lower opportunity cost. Thus, Chile will export cloth and Brazil will import cloth.
Opportunity cost of 1 bushel of wheat in Brazil = Labor
requirement for wheat/Labor requirement for cloth = 6/6 = 1 yard of
cloth
Opportunity cost of 1 bushel of wheat in Chile = Labor requirement
for wheat/Labor requirement for cloth = 9/6 = 1.5 yard of
cloth
So, Brazil has comparative advantage in wheat as it has lower
opportunity cost. Thus, Brazil will export wheat and Chile will
import wheat.
So, after the change in unit labor requirement, the trade
pattern reverses.
Brazil: Exports - Wheat; Imports - Cloth
Chile: Exports - Cloth; Imports - Wheat