Review Handout | Absolute Advantage and Comparative Advantage | Cases 1-3 (3 pages)
*Holding other things constant and considering the usual assumptions for the 2C-2G-1F model and production per unit of labor for both Case 1 and Case 2 below, determine which country has the absolute advantage and comparative advantage in which good.
Example Case 1
Country |
Good X |
Good Y |
Opp. Cost of X in term of Good Y? |
Opp. Cost of Y in terms of Good X? |
Country A |
60 60 /60 =1 60/80 = 3/4 |
80 80 /60 =4/3 80/80 = 1 |
4/3 (=1.33) |
¾ = 0.75 |
Country B |
35 |
70 |
To determine who has a comparative advantage in which good, we will need to calculate opportunity costs of good X and good Y in each country first.
In the case of Country A above, the opp. cost of X (in terms of Y) is the number of units of Good Y Country A should give up in order to produce one more unit of Good X. To find out this, we can simply divide the number of Good X and Good Y per unit of labor in each cell by 60, respectively, so that we can see how many units of Good Y Country A should give up to produce one more unit of Good X in Country A. As shown above, it will be 1.33.
By the same token, in the case of Country A, the opp. cost of Y (in terms of X) is the number of units of Good X Country A should give up in order to produce one more unit of Good Y. To find out this, we can simply divide the number of Good Y and Good X per unit of labor in each cell by 80, respectively, so that we can see how many units of Good X Country A should give up to produce one more unit of Good Y in Country A. As shown above, it will be 0.75.
Hint) Per unit of labor, which country is producing Good X (Good Y) more in absolute terms?
Case 2
Country |
Barrels of Wine |
Bales of Wool |
Opp. Cost of Wine? |
Opp. Cost of Wool? |
Portugal |
20 |
20 |
||
The U.K. |
40 |
80 |
Case 3. Now assume that country “American” can produce either 20 songs or 40 boxes of roses per week. Assume that country “Eagle” can produce 10 songs or 50 boxes of roses per week. Consider the usual assumptions holding other things constant.
Country |
Songs |
Roses |
Opp. Cost of Songs |
Opp. Cost of Roses |
American |
20 |
40 |
||
Eagle |
10 |
50 |
Country |
Songs |
Roses |
American |
||
Eagle |
||
Total |
Country |
Songs |
Roses |
American |
||
Eagle |
||
Total |
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(e) Describe the relationship between the firm’s optimal choice of w and f, all else equal.
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Suppose that in a year, an American worker can produce 100 shirts or 20 computers, while a Chinese worker can produce 100 shirts or 10 computers. we can describe the production possibilities of the Americans and the Chinese in a table:
Output per Worker per year |
U.S. |
China |
Shirts |
100 |
100 |
Computers |
20 |
10 |
Q1. (1pt) Which country has an absolute advantage in the production of each good?
Country |
Reason |
|
Shirts |
||
Computers |
Q2. (2 pts)Calculate the opportunity cost of producing each good for both countries. For example, to fill out the blank at the top-left corner. Answer this question: ‘In America, how many computers should they give up to produce a shirt?’ Don’t forget the proper unit. Show your work.
Opportunity Cost |
U.S. |
China |
Shirts |
||
Computers |
Q3. (1pt) According to your answers in Q2, which country has a comparative advantage in shirts? Computers?
Country |
Reason |
|
Shirts |
||
Computers |
Q4. (2 pts) Now allow American and China to trade with each other. Suppose the terms of trade are 0.25 computers per shirt. What does this mean?
Questions |
Answers |
How many computers can be purchased with one shirt? |
|
How many computers can be purchase with 100 shirts? |
|
How many shirts can be purchased with one computer? |
|
How many shirts can be purchase with 100 computers? |
Q5. (3 pts) Suppose the U.S. and China produce the goods that they have comparative advantages and consider the trade with each other. With the ‘TOT is 0.25 computers per shirt’. Can trade occur? Are they willing to buy the good that they do not produce from the other country? Is this deal better off for both countries?
Q6. (5 pts) Now allow American and China to trade with each other. Find a mutually agreeable trade that makes each country better off than it was before it specialized. What is the range of TOT at which trade can occur?
Q7. (1 pt) List the determinants of the terms of trade. What do factors affect the level of the terms of trade?
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