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1、Chapter 31. In 1986, the price of oil on world markets dropped sharply. Since the United States is an oil-importing country, this was widely regarded as good for the U.S. economy. Yet in Texas and Louisiana 1986 was a year of economic decline. Why?It can deduce that Texas and Louisiana are oil-produ

2、cing states of United States. So when the price of oil on world markets declined, the real wage of this industry fell in terms of other goods. This might be the reason of economic decline in these two states in 1986.2。An economy can produce good 1 using labor and capital and good 2 using labor and l

3、and. The total supply of labor is 100 units. Given the supply of capital, the outputs of the two goods depends on labor input as follows:To analyze the economys production possibility frontier, consider how the output mix changes as labor is shifted between the two sectors.a. Graph the production fu

4、nctions for good 1 and good 2. b. Graph the production possibility frontier. Why is it curved?Q1Q2L1L2PPF The PPF is curved due to declining marginal product of labor in each good. The total labor supply is fixed. So as L1 rises, MPL1 falls; correspondingly, as L2 falls, MPL2 rises. So PP gets steep

5、er as we move down it to the right.2. The marginal product of labor curves corresponding to the production functions in problem2 are as follows:a. Suppose that the price of good 2 relative to that of good 1 is 2. Determine graphically the wage rate and the allocation of labor between the two sectors

6、.With the assumption that labor is freely mobile between sectors, it will move from the low-wage sector to the high-wage sector until wages are equalized. So in equilibrium, the wage rate is equal to the value of labors marginal product.The abscissa of point of intersection illustrated above should

7、be between (20, 30). Since we only have to find out the approximate answer, linear function could be employed.The labor allocation between the sectors is approximately L1=27 and L2=73. The wage rate is approximately 0.98.b. Using the graph drawn for problem 2, determine the output of each sector. Th

8、en confirm graphically that the slop of the production possibility frontier at that point equals the relative price.Q1Q2L1L2PPF The relative price is P2/P1=2 and we have got the approximate labor allocation, so we can employ the linear function again to calculate the approximate output of each secto

9、r: Q1=44 and Q2=90.c. Suppose that the relative price of good 2 falls to 1. Repeat (a) and (b).The relative decline in the price of good 2 caused labor to be reallocated: labor is drawn out of production of good 2 and enters production of good 1 (1=62, L2=38). This also leads to an output adjustment

10、, that is, production of good 2 falls to 68 units and production of good 1 rises to 76 units. And the wage rate is approximately equal to 0.74.Q1Q2L1L2PPFd. Calculate the effects of the price change on the income of the specific factors in sectors 1 and 2.With the relative price change from P2/P1=2

11、to P2/P1=1, the price of good 2 has fallen by 50 percent, while the price of good 1 has stayed the same. Wages have fallen too, but by less than the fall in P2 (wages fell approximately 25 percent). Thus, the real wage relative to P2 actually rises while real wage relative to P1 falls. Hence, to det

12、ermine the welfare consequence for workers, the information about their consumption shares of good 1 and good 2 is needed. 3. In the text we examined the impacts of increases in the supply of capital and land. But what if the mobile factor, labor, increases in supply?a Analyze the qualitative effect

13、s of an increase in the supply of labor in the specific factors model, holding the price of both goods constant.For an economy producing two goods, X an Y, with labor demands reflected by their marginal revenue product curves, there is an initial wage of w1 and an initial labor allocation of Lx=OxA

14、and Ly=OyA. When the supply of labor increases, the right boundary of the diagram illustrated below pushed out to Oy. The demand for labor in sector Y is pulled rightward with the boundary. The new intersection of the labor demand curves shows that labor expands in both sectors, and therefore output

15、 of both X and Y also expand. The relative expansion of output is ambiguous. Wages paid to workers fall. Wb Graph the effect on the equilibrium for the numerical example in problems 2 and 3, given a relative price of 1, when the labor force expands from 100 to 140. With the law of diminishing return

16、s, the new production possibility frontier is more concave and steeper (flatter) at the ends when total labor supply increases.L1 increase to 90 from 62 and L2 increases to 50 from 38. Wages decline from 0.74 to 0.60. This new allocation of labor leads to a new output mix of approximately Q1=85 and

17、Q2=77.Q1Q2L1L2PPFChapter 41 In the United States where land is cheap, the ratio of land to labor used in cattle rising is higher than that of land used in wheat growing. But in more crowded countries, where land is expensive and labor is cheap, it is common to raise cows by using less land and more

18、labor than Americans use to grow wheat. Can we still say that raising cattle is land intensive compared with farming wheat? Why or why not? The definition of cattle growing as land intensive depends on the ratio of land to labor used in production, not on the ratio of land or labor to output. The ra

19、tio of land to labor in cattle exceeds the ratio in wheat in the United States, implying cattle is land intensive in the United States. Cattle is land intensive in other countries too if the ratio of land to labor in cattle production exceeds the ratio in wheat production in that country. The compar

20、ison between another country and the United States is less relevant for answering the question.2 Suppose that at current factor prices cloth is produced using 20 hours of labor for each acre of land, and food is produced using only 5 hours of labor per acre of land. a. Suppose that the economys tota

21、l resources are 600 hours of labor and 60 acres of land. Using a diagram determine the allocation of resources. We can solve this algebraically since L=LC+LF=600 and T=TC+TF=60. The solution is LC=400, TC=20, LF=200 and TF=40.LaborLandClothFoodb. Now suppose that the labor supply increase first to 8

22、00, then 1000, then 1200 hours. Using a diagram like Figure4-6, trace out the changing allocation of resources. LaborLandClothFood0l8000l10000l1200c. What would happen if the labor supply were to increase even further?At constant factor prices, some labor would be unused, so factor prices would have

23、 to change, or there would be unemployment.3. “The worlds poorest countries cannot find anything to export. There is no resource that is abundant certainly not capital or land, and in small poor nations not even labor is abundant.” Discuss.The gains from trade depend on comparative rather than absol

24、ute advantage. As to poor countries, what matters is not the absolute abundance of factors, but their relative abundance. Poor countries have an abundance of labor relative to capital when compared to more developed countries.4. The U.S. labor movement which mostly represents blue-collar workers rat

25、her than professionals and highly educated workers has traditionally favored limits on imports form less-affluent countries. Is this a shortsighted policy of a rational one in view of the interests of union members? How does the answer depend on the model of trade?In the Ricardos model, labor gains

26、from trade through an increase in its purchasing power. This result does not support labor union demands for limits on imports from less affluent countries. In the Immobile Factors model labor may gain or lose from trade. Purchasing power in terms of one good will rise, but in terms of the other goo

27、d it will decline. The Heckscher-Ohlin model directly discusses distribution by considering the effects of trade on the owners of factors of production. In the context of this model, unskilled U.S. labor loses from trade since this group represents the relatively scarce factors in this country. The

28、results from the Heckscher-Ohlin model support labor union demands for import limits.5. There is substantial inequality of wage levels between regions within the United States. For example, wages of manufacturing workers in equivalent jobs are about 20 percent lower in the Southeast than they are in

29、 the Far West. Which of the explanations of failure of factor price equalization might account for this? How is this case different from the divergence of wages between the United States and Mexico (which is geographically closer to both the U.S. Southeast and the Far West than the Southeast and Far

30、 West are to each other)?When we employ factor price equalization, we should pay attention to its conditions: both countries/regions produce both goods; both countries have the same technology of production, and the absence of barriers to trade. Inequality of wage levels between regions within the U

31、nited States may caused by some or all of these reasons.Actually, the barriers to trade always exist in the real world due to transportation costs. And the trade between U.S. and Mexico, by contrast, is subject to legal limits; together with cultural differences that inhibit the flow of technology,

32、this may explain why the difference in wage rates is so much larger.6. Explain why the Leontief paradox and the more recent Bowen, Leamer, and Sveikauskas results reported in the text contradict the factor-proportions theory.The factor proportions theory states that countries export those goods whos

33、e production is intensive in factors with which they are abundantly endowed. One would expect the United States, which has a high capital/labor ratio relative to the rest of the world, to export capital-intensive goods if the Heckscher-Ohlin theory holds. Leontief found that the United States exported labor-intensive goods. Bowen, Leamer and Sveikauskas found that the correlation between factor endowment and trade patterns is weak for the world as a whole. The data do not support the predictions of the theory that countries

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