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Derive the production possibilities frontier (
- Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi = H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F D. Determine the optimal consumption and production at Home and Foreign under autarky. Depict this situationin a graph that includes each country’s PPF and indifference curves for the representative consumer. E. Assume…Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi = H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F F. Suppose that the equilibrium price of good x (keeping the price of good y as 1) is equal to 1. Determine the optimal production and consumption both at Home and Foreign when they open up to trade. Depict this in graph.Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi = H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F.(a) Calculate the opportunity cost of producing one additional unit of good x in terms of units of good y in Homeand Foreign.(b) Derive the production possibilities frontier (PPF) for Home and Foreign and plot it in a graph…
- Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi = H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F E. Assume that Home and Foreign open to trade with each other. Explain how is the pattern of trade (which good will each country export and import) determined F. Suppose that the equilibrium price of good x (keeping the…Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi = H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F G. Explain how is the production structure (i.e. which goods are produced) affected in each country by openingup to trade. Is this consistent with the empirical evidence we observe in reality? How can this model bemodified…Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F A. Calculate the opportunity cost of producing one additional unit of good x in terms of units of good y in Homeand Foreign. B. Derive the production possibilities frontier (PPF) for Home and Foreign and plot it in a…
- Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F D. Determine the optimal consumption and production at Home and Foreign under autarky. Depict this situation in a graph that includes each country’s PPF and indifference curves for the representative consumer.Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F C. Determine the equilibrium price of good x (setting the price of good y as 1) that prevails at Home and Foreig under autarky – that is, when they do not trade with each other. Explain why any other price could not be the…The question is a descriptive question in Microeconomics. Consider an economy inhabited by identical agents of size 1: A representative agent's preference over consumption (c) and labour supply (l) is given by the utility function u(c,l) = ca (24-l)1-a for 0<a<1 Production of the consumption good c is given by the production function c = Al; where A > 0 is the productivity of labour. Both the commodity market and labour market are perfectly competitive: the buyers and sellers take the price as given while taking demand and supply decisions. Let us denote the hourly wage rate by w > 0 and price of the consumption good by p > 0: A competitive equilibrium is given by the allocation of consumption andlabour, (cCE,lCE) and the relative price ratio, w/p, such that for given w and p, a representative agent decides her labour supply, lS, and consumption demand, cD; to maximize her utility; A firm decides its labour demand, lD; and supply of consumption good, cD; to maximize its…
- The productivity of a certain country with the utilization of x units of labor and y units of capital is given approximately by the function f(x,y)=100x0.65y0.35. (A) Find fx(x,y) and fy(x,y). (B) If the country is now using 300 units of labor and 200 units of capital, find the marginal productivity of labor and the marginal productivity of capital. (C) For the greatest increase in the country's productivity, should the government encourage increased use of labor or increased use of capital?The Production Possibility Frontier of a country has a slope equal to the ratio of the international factor market prices. is the set of allocations of goods that can be produced using the available factor endowment in a country. is the set of feasible allocations of goods in a country such that all resources are fully used. has a slope that reflects the risk attidues of the consumers.Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb-Douglas production function Q=F(L,K) Q=10L^0.25 K^0.25 where L is their number of workers and K is units of capital. The wage rate is $500 per week and a unit of capital costs $500 per week. Suppose that when initially producing 10 square feet a week, they use 1 unit of capital.a. What is their short-run cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ b. What is their short-run average cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ c. What is their long-run cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ d. What is their long-run average cost of remodeling 80 square feet per week? Instructions: Round your answer…