A small open economy produces two goods, 1 and 2, at output levels y,, i = 1,2. Output prices are set on world markets and denoted p1, P2- The economy is endowed with quantities Lof labour and K of capital. Capital is used in sector 2 only, and labour is used in both sectors, L, denoting the use of labour in sector i= 1,2. The wage rate and the capital rental rate are w and r, respectively. The production function for good lis y = L1.and good 2 has production function y = vKL. What is the equilibrium allocation of labour between sectors (expressed as a function of goods' prices and endowments)? O a. L =L-(²K,L2 = (*K. O b. L = K,L=L-(K. O. L = 0, L= L. O d. L = L, L2 = 0. %3D
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- 4. Assume a two-country two-good two-input model. Let the countries in the model be Vietnam andMyanmar and the goods be shirts and natural gas. The two factors of production are labor and land.Further, Vietnam is labor-abundant and shirts production is labor-intensive. Suppose, in the absenceof trade, Vietnam operates at a point on its production-possibility curve where it produces andconsumes 20 units of shirts and 25 units of natural gas. Once it engages in free trade, the internationalprice of one unit of natural gas is .8 units of a shirt. In response to the opening of trade, Vietnammoves along its production-possibility curve to a new point where it produces 100 units of shirts and10 units of natural gas. Assume that with free trade, Vietnam chooses to consume 52 units of shirtsand chooses to trade all of its remaining surplus of shirts.a. Demonstrate the gains to trade for Vietnam.Two countries, Korea and Vietnam, are engaging in international trade.They produce two goods: automobiles and cloth. We observe a relativeabundance of cheap labor in Vietnam and a relative abundance of capitalin South Korea. a. Assume that automobiles are capital-intensive and cloth are cheaplabor-intensive. Using the Hecksher-Ohlin theory, explain what willhappen in trade between these two countries, in terms of export andimport. c. Draw a graph that shows the above situation in South Korean economy with a P P F and two relative prices (one before trade and theother after trade). The quantity of automobiles (QAuto) is on thehorizontal axis and the quantity of cloth (QCloth) is on the verticalaxis.Use the specific factor model to analyze a simplified version of a liberalization of trade betweenBrazil and Japan. Assume that there are two goods that people want to buy: coffee and cars. Assumethat there are three production factors: land, capital and labor. Land is specific to coffee, capital isspecific to cars and workers can work in both industries. Assume that, under autarky, coffee is cheaper in Brazil than in Japan. How does the price of coffeein Brazil change when Brazil opens up to international trade? Explain your answer
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- Which statements are true or false? 1. S1: The equilibrium nations want to achieve ideally is the stableequilibrium. S2: The general idea of an equilibrium is one in which allparticipants are doing what is best for them, given what they expect othersto do, which in turn matches what others are actually doing.. Which country has an absolute advantage in the production of fruit? Which countryhas an absolute advantage in the production of timber?b. Which country has a comparative advantage in the production of fruit? of timber?c. Sketch the PPF’s for both countries.d. Assuming no trading between the two, if both countries wanted to have equalnumbers of feet of timber and baskets of fruit, how would they allocate workers tothe two sectors?e. Show that specialization and trade can move both countries beyond their PPF’s.Suppose that the opportunity cost ratio for apples and oranges is 1AE =30 in Germany but 10= 2A in Japan At which of the following international eschange ratios (terms of trade) with Gemany andJapan be willing to specialize and engage in trade with each otherO10=215AO 10= 1.25AO 10=0.25AO 10=0.15A