Suppose that the costs of production of winter hats and wheat in two countries are as follows: $$\begin{array}{lcc} & \text{United States} & \text{Russia} \\\\\hline \text{Per winter hat} & 10 & 5,000 \text{rubles} \\ \text{Per bushel of wheat} & 1 & 2,500 \text{rubles}\end{array}$$ a. What is the opportunity cost of producing one more winter hat in the United States? In Russia? b. What is the opportunity cost of producing one more bushel of wheat in the United States? In Russia? c. Which country has a comparative advantage in winter hats? In wheat?

Short Answer

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a. Opportunity cost of producing a winter hat: \(10 bushels of wheat in US, 2 bushels of wheat in Russia\). \nb. Opportunity cost of producing a bushel of wheat: \(0.1 hat in US, 0.5 hat in Russia\). \nc. Comparative advantage: United States in winter hats, Russia in wheat.

Step by step solution

01

Calculate Opportunity Costs

The opportunity cost of producing one more winter hat in each country is equal to the lost potential to produce a certain amount of wheat. In the United States, the cost of producing a winter hat can instead be used to produce 10 bushels of wheat (10/1). In Russia, the cost of producing a winter hat can instead be used to produce 2 bushels of wheat (5000/2500). So, the opportunity cost of producing a winter hat is \(10 bushels of wheat in US\) and \(2 bushels of wheat in Russia\). Similarly, the opportunity cost of producing one more bushel of wheat is \(0.1 hat in US\) (1/10) and \(0.5 hat in Russia\) (2500/5000).
02

Determine Comparative Advantage

The country with the lower opportunity cost for a good has a comparative advantage in producing that good. In this case, United States has a lower opportunity cost for winter hats (10 vs 2 bushels of wheat), hence a comparative advantage in producing winter hats. Russia on the other hand, has a lower opportunity cost for wheat (0.5 vs 0.1 hat), hence a comparative advantage in producing wheat.

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