Answered: Consider two neighboring island…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Consider two neighboring island countries called Contente and Dolorium. They each have 4 million labor hours available per month that they can use to produce jeans, rye, or a combination of both. The following table shows the amount of jeans or rye that can be produced using 1 hour of labor.

Country	Jeans	Rye
(Pairs per hour of labor)	(Bushels per hour of labor)
Contente	8	16
Dolorium	5	20

Initially, suppose Contente uses 1 million hours of labor per month to produce jeans and 3 million hours per month to produce rye, while Dolorium uses 3 million hours of labor per month to produce jeans and 1 million hours per month to produce rye. Consequently, Contente produces 8 million pairs of jeans and 48 million bushels of rye, and Dolorium produces 15 million pairs of jeans and 20 million bushels of rye. 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 jeans and rye it produces.

Contente's opportunity cost of producing 1 pair of jeans is ? of rye, and Dolorium's opportunity cost of producing 1 pair of jeans is ? of rye. Therefore, ? has a comparative advantage in the production of jeans, and ? has a comparative advantage in the production of rye.

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 jeans will produce ? million pairs per month, and the country that produces rye will produce ? million bushels per month.

In the following table, enter each country's production decision on the third row of the table (marked “Production”).

Suppose the country that produces jeans trades 18 million pairs of jeans to the other country in exchange for 54 million bushels of rye.

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 jeans was 23 million pairs per month, and the total production of rye was 68 million bushels per month. Because of specialization, the total production of jeans has increased by ? million pairs per month, and the total production of rye has increased by ? million bushels per month.

Because the two countries produce more jeans and more rye 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”).

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