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What is the range of the relative price of coffee (Pc/Pb) in free trade equilibrium in the world?

Given the information above, please answer the followings (Q1-Q10).

 

             Hours required to produce 1 unit                

Country           Coffee             Bread            Labor hours endowed       

    A                    4                    2                           400

    B                    8                    3                           240                         

 

1. Which country has an absolute advantage in producing coffee?   (Required) (Just answer A or B.)
 

2. Which country has an absolute advantage in producing bread?   (Required) (Just answer A or B.)  

3. Which country has a comparative advantage in producing coffee?   (Required) (Just answer A or B.)

4. What is an opportunity cost of producing coffee in terms of bread in Country A?   (Required)  

5. What is the slope of production possibility frontier (PPF) of Country B when coffee is in vertical axis?   (Required)   (Answer in a fraction, and make a fraction like -1/4)

6. What is the maximum amount of bread Country A can produce?   (Required)

7. Write down the equation of the PPF of Country A.   (Required)

(Use the notation of C and B for coffee and bread, respectively. Don’t leave any space between signs and words.) 

8. What is the relative price of coffee (Pc/Pb) in the autarkic equilibrium (without trade) in Country B?  (Required) (Answer in a fraction, and make a fraction like 1/4)

9. What is the range of the relative price of coffee (Pc/Pb) in free trade equilibrium in the world?   (Required) (In the range, “=<” means “greater than”, and “<=” means less than. So, make your answer like 3=<Pc/Pb<=5. And don’t leave any space between signs and words.)

10. What is the relative amount of coffee (Qc/Qb) in the free trade equilibrium in the world?   (Required)   your answer in a fraction, and make a fraction like 1/4.)

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