Consider Home and Foreign in a Ricardian world (includes all the assumptions of the Ricardianmodel). Each country produces two goods, wine and cotton. Each country has 4,800 labour hoursavailable. The accompanying table shows the number of hours required to produce one unit ofeach good in each country. Answer the following questions using the information given by thetable:a. What is the opportunity cost of cotton in each country? Show your work.b. Draw the graph of the production possibility frontier (PPF).c. Which country has an absolute advantage in Wine? Explain your answer.d. Which country has a comparative advantage in Wine? Show your work and explain your answer.e. Which good does each country produce and export when the equilibrium international relativeprice of wine in terms of cotton is 1?f. Suppose the equilibrium international relative price of wine in terms of cotton is 1. Draw the graphof the production possibility frontier (PPF) for each country when they trade. Show how the twocountries can benefit from free trade. Explain your answer and fully label your graph to get marks.g. Draw the world relative supply (RS) of wine. Fully label your graph to get marks (Do not drawthe world relative demand (RD) of wine yet).h. Now, suppose that the world relative demand is drawn such that the equilibrium internationalrelative price of wine is at 1. Draw the world relative demand curve of wine on the diagram above(in part g). Explain which country (countries) benefit(s) (most) from free trade in this case.i. Now, suppose that the world relative demand is drawn such that the equilibrium internationalrelative price of wine is at 1.25 (=5/4). Draw the world relative demand curve of wine on thediagram above (in part g). Explain which country (countries) benefit(s) (most) from free trade inthis case.j. Calculate Home country’s relative productivity of labour in each sector.k. Suppose that the price of wine is $10 per bottle and the price of cotton is $10 per bushel. Calculatethe relative wage in Home (the wage of Home relative to the wage in Foreign). Show your workand explain your answer.l. Show the relative wage in Home lies in between the relative productivity of labour of two sectorsusing the information you obtained from parts j and k.Wine CottonHome 6 8Foreign 5 4
Question
Consider Home and Foreign in a Ricardian world (includes all the assumptions of the Ricardianmodel). Each country produces two goods, wine and cotton. Each country has 4,800 labour hoursavailable. The accompanying table shows the number of hours required to produce one unit ofeach good in each country. Answer the following questions using the information given by thetable:a. What is the opportunity cost of cotton in each country? Show your work.b. Draw the graph of the production possibility frontier (PPF).c. Which country has an absolute advantage in Wine? Explain your answer.d. Which country has a comparative advantage in Wine? Show your work and explain your answer.e. Which good does each country produce and export when the equilibrium international relativeprice of wine in terms of cotton is 1?f. Suppose the equilibrium international relative price of wine in terms of cotton is 1. Draw the graphof the production possibility frontier (PPF) for each country when they trade. Show how the twocountries can benefit from free trade. Explain your answer and fully label your graph to get marks.g. Draw the world relative supply (RS) of wine. Fully label your graph to get marks (Do not drawthe world relative demand (RD) of wine yet).h. Now, suppose that the world relative demand is drawn such that the equilibrium internationalrelative price of wine is at 1. Draw the world relative demand curve of wine on the diagram above(in part g). Explain which country (countries) benefit(s) (most) from free trade in this case.i. Now, suppose that the world relative demand is drawn such that the equilibrium internationalrelative price of wine is at 1.25 (=5/4). Draw the world relative demand curve of wine on thediagram above (in part g). Explain which country (countries) benefit(s) (most) from free trade inthis case.j. Calculate Home country’s relative productivity of labour in each sector.k. Suppose that the price of wine is 10 per bushel. Calculatethe relative wage in Home (the wage of Home relative to the wage in Foreign). Show your workand explain your answer.l. Show the relative wage in Home lies in between the relative productivity of labour of two sectorsusing the information you obtained from parts j and k.Wine CottonHome 6 8Foreign 5 4
Solution
a. The opportunity cost of cotton in each country can be calculated by comparing the number of labor hours required to produce one unit of cotton to the number of labor hours required to produce one unit of wine.
For Home: Opportunity cost of cotton = (Labor hours for cotton production) / (Labor hours for wine production) Opportunity cost of cotton for Home = 8/6 = 1.33 units of wine
For Foreign: Opportunity cost of cotton = (Labor hours for cotton production) / (Labor hours for wine production) Opportunity cost of cotton for Foreign = 4/5 = 0.8 units of wine
b. To draw the production possibility frontier (PPF), we need to plot the maximum combinations of wine and cotton that each country can produce given their available labor hours. The PPF will be a curve showing the trade-off between the two goods.
c. The country that has an absolute advantage in wine is the one that can produce more wine with the same amount of labor hours. In this case, Home has an absolute advantage in wine because it requires fewer labor hours (6) to produce one unit of wine compared to Foreign (5).
d. The country that has a comparative advantage in wine is the one that has a lower opportunity cost of producing wine. We can compare the opportunity costs of cotton calculated in part a. Home has a higher opportunity cost of cotton (1.33 units of wine) compared to Foreign (0.8 units of wine). Therefore, Foreign has a comparative advantage in wine production.
e. When the equilibrium international relative price of wine in terms of cotton is 1, each country will specialize in producing and exporting the good in which they have a comparative advantage. Since Foreign has a comparative advantage in wine, it will produce and export wine. Home, on the other hand, will produce and export cotton.
f. When the two countries engage in free trade and specialize according to their comparative advantage, they can benefit from trade. By specializing in wine production, Foreign can increase its wine output beyond its domestic production possibility frontier. Similarly, by specializing in cotton production, Home can increase its cotton output beyond its domestic production possibility frontier. This leads to an expansion of both countries' consumption possibilities.
g. The world relative supply (RS) of wine can be represented on a graph by plotting the quantity of wine supplied by each country at different relative prices. The graph should be labeled with the quantity of wine supplied by Home and Foreign at different relative prices.
h. To determine which country benefits most from free trade when the equilibrium international relative price of wine is 1, we need to compare the relative supply and relative demand of wine. The country that benefits the most is the one with a higher relative supply compared to relative demand at that price.
i. To determine which country benefits most from free trade when the equilibrium international relative price of wine is 1.25, we need to compare the relative supply and relative demand of wine. The country that benefits the most is the one with a higher relative supply compared to relative demand at that price.
j. The relative productivity of labor in each sector can be calculated by dividing the number of units produced by the number of labor hours required.
For Home: Relative productivity of labor in wine sector = 1 / 6 = 0.17 units per labor hour Relative productivity of labor in cotton sector = 1 / 8 = 0.125 units per labor hour
For Foreign: Relative productivity of labor in wine sector = 1 / 5 = 0.2 units per labor hour Relative productivity of labor in cotton sector = 1 / 4 = 0.25 units per labor hour
k. To calculate the relative wage in Home, we need to compare the price of wine to the price of cotton and the relative productivity of labor in each sector.
Relative wage in Home = (Price of wine / Price of cotton) * (Relative productivity of labor in cotton sector / Relative productivity of labor in wine sector) Relative wage in Home = (10 / 10) * (0.125 / 0.17) = 0.735
l. The relative wage in Home lies in between the relative productivity of labor in the two sectors. The relative productivity of labor in the cotton sector is 0.125 units per labor hour, and the relative productivity of labor in the wine sector is 0.17 units per labor hour. Therefore, the relative wage in Home is between 0.125 and 0.17.
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