Ricardian Operation Management Analysis With Solution 

Posted on March 3, 2017

Ricardian Operation Management Analysis With Solution

 

1. Consider a world in which there are two countries: Big Industrialized Country (BIC) and Small Developing Country (SDC). BIC has a labor force of 500,000 and SDC has a labor force of 80,000.
 
There are two types of goods in this world—food (F) and manufactures (M), and they are both produced using only labor. The technology for producing each of these goods in each country is described by the unit labor requirements in the following table:
 
Theworldrelativedemandforfoodisgivenby: !! =!−!! !! ! !!
 
(a) Sketch the production possibilities frontier (PPF) for each country here. Label the intercepts.
 
(b) Calculate the opportunity cost and relative autarky price of food in each country. Then determine the goods in which each country has an absolute and comparative advantage. Record your answers in the table below.
BIC SDC
 
(c) On the graph below, construct the world relative supply curve describing the amount of food produced relative to the amount of manufactures. (Be clear about the intercepts, the points at which the RS curve is bent or kinked, and the point at which it intersects the relative demand curve RD).
 
Opportunity CostF
(PF/PM) in autarky
Absolute Advantage in:
Comparative Advantage in:
 

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2. In a Ricardian world, with labor the only paid factor of production, the following table gives the constant labor requirements per unit of producing different commodities in countries X and Z.
 
Airplanes(A) Bicycles(B) Fertilizer(F) Radios (R) Shoes (S) T-Shirts(T)
Country X
10,000
30
20
20
10

18
Country Z

120,000
45
225
180
15

18
 
(a) Suppose the wage rate in country X is wX =$10, in country Z is wZ =$2, and that there are no transportation costs. In a free-trade equilibrium:
 
• Which goods are produced only by country X?
 
• Which goods are produced only by country Z?
 
• Which goods, if any, may be produced by both countries but may still be traded?
 
• Which goods, if any, are non-traded?
 
(b) Now suppose that it costs $1,000 to transport one airplane, and that it costs $150 to transport one unit of any other good from one country to the other. Now:
 
• Which goods are produced only by country X?
 
• Which goods are produced only by country Z?
 
• Which goods, if any, may be produced by both countries but may still be traded?
 
• Which goods, if any, are non-traded?
 
3. Assume that labor is the only factor in the production of electronics and clothing in the U.S. and Mexico. Suppose that unit labor requirements in each industry, for each country, is as shown in the following table:
 
Computer Shirts
chips
U.S. 2 4
Mexico. 20. 10
 
Suppose that the wage rate in the U.S. is wUS = 5 $/hr.
 
(a) For what range of Mexican wages will the two countries trade?
 
(i.e. what is the range of possible equilibrium wages in Mexico under perfect competition and free trade?) (Express in terms of $.)
 
Suppose that Mexican labor productivity doubles in both industries.
 
(b) Now what is the range of Mexican wages under free trade and perfect competition?
 
(c) TRUE OR FALSE (Explain your answer briefly). After the rise in Mexico’s productivity, Mexico will have a cost advantage in both industries, and therefore, the U.S. will not be able to export anything unless U.S. wages are reduced.
 
4. Migration.The graph below shows the MPL as a function of the amount of labor for two economies: Home and Foreign. Home’s origin is at the bottom left corner and Foreign’s is at the bottom right. Home country workers initially earn a real wage of 20.

 

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