Question & Answer: Gains from trade Consider two neighboring island countries called Bellissima and…..

Gains from trade Consider two neighboring island countries called Bellissima and Euphoria. They each have 4 million labor hours available per week that they can use to produce rye, jeans, or a combination of both. The following table shows the amount of rye or jeans that can be produced using 1 hour of labor. Country Rye Jeans (Bushels per hour of labor) (Pairs per hour of labor) Bellissima 8 16 Euphoria 5 20 Initially, suppose Bellissima uses 1 million hours of labor per week to produce rye and 3 million hours per week to produce jeans, while Euphoria uses 3 million hours of labor per week to produce rye and 1 million hours per week to produce jeans. Consequently, Bellissima produces 8 million bushels of rye and 48 million pairs of jeans, and Euphoria produces 15 million bushels of rye and 20 million pairs of jeans. Assume there are no other countries willing to trade goods, so, in the absence of trade between these two countries, each country consumes the amount of rye and jeans it produces. Bellissima’s opportunity cost of producing 1 bushel of rye is of jeans, and Euphoria’s opportunity cost of producing 1 bushel of rye is of jeans. Therefore, has a comparative advantage in the production of rye, and has a comparative advantage in the production of jeans. Suppose that each country completely specializes in the production of the good in which it has a comparative advantage, producing only that good. In this case, the country that produces rye will produce million bushels per week, and the country that produces jeans will produce million pairs per week. In the following table, enter each country’s production decision on the third row of the table (marked “Production”). Suppose the country that produces rye trades 18 million bushels of rye to the other country in exchange for 54 million pairs of jeans. In the following table, select the amount of each good that each country exports and imports in the boxes across the row marked “Trade Action,” and enter each country’s final consumption of each good on the line marked “Consumption.” When the two countries did not specialize, the total production of rye was 23 million bushels per week, and the total production of jeans was 68 million pairs per week. Because of specialization, the total production of rye has increased by million bushels per week, and the total production of jeans has increased by million pairs per week. Because the two countries produce more rye and more jeans under specialization, each country is able to gain from trade. Calculate the gains from trade—that is, the amount by which each country has increased its consumption of each good relative to the first row of the table. In the following table, enter this difference in the boxes across the last row (marked “Increase in Consumption”). Bellissima Euphoria Rye Jeans Rye Jeans (Millions of bushels) (Millions of pairs) (Millions of bushels) (Millions of pairs) Without Trade Production 8 48 15 20 Consumption 8 48 15 20 With Trade Production Trade action Consumption Gains from Trade Increase in Consumption Grade It Now Save & Continue Continue without saving

Expert Answer

Answer

hrs = hours; Q = Question; m = million;

Labor hours available = 4 million hrs per week

With 40 hours per week per person, they have

4000000 hrs / 40 = 400000 hours

Say there are 1500 labors

400000 / 1500 = 266.66667 labor weeks

say 50 weeks in a year

2666.6667/50 = 5.333 labor years

(so it is a 5 year plan)

Productivity (given in Q) per labor hour

Nation Rye Jeans
Bellissima 7+1 16
Euphoria 5 20
weekly labor usage per week
Bellissima 1 m hours 3 m hrs
for Rye production for making jeans
weekly labor usage per week
Euphoria 3 m hours 1 m hrs
for Rye production for making jeans
Nation Rye Production Jeans Production
Bellissima 7+1 m 47+1 m
Euphoria 15 m 20 m Jeans

Now the question says that no other country (no 3rd country) is willing to trade – means that – Either Euphoria and Bellissima must trade between themselves or consume their production by themselves.

Opportunity Cost = OC

For Bellissima, OC of making 1 Rye is same as b units of jeans, so Rye making is better for Bellissima.

For Euphoria, OC of making rye is same as e units of jeans, so Jeans making is better for Euphoria.

The value of b and e are not given in the question.

country Better product to make Specialization
Bellissima Rye Specializes in Rye production
Euphoria Jeans Specializes in Jeans production

The OC for Euphoria is 20/5 = 4 when it comes to producing Jeans

The OC for Bellissima is 16/(7+1) = 2 when it comes to producing Rye

When we compare the 2 commodities viz Rye, and Jeans,

in each of them whoever has lower OC, they have the comparative advantage of production. That means, as Bellissima is specialized in Rye, they have a comparative advantage in Rye Production.

Similarly, as Euphoria had specialized in Jeans, Euphoria has a comparative advantage in Jeans production.

Production plan or production decision:

Nation
Bellissima (Rye) 17+1 m
Euphoria (Jeans) 54 m

Here is the barter:

Bellissima gives (17+1) m of Rye and gets 54 m of jeans from Euphoria.

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