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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 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…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.(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 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. Derive the production possibilities frontier (PPF) for Home and Foreign and plot it in a graph with good x inthe horizontal axis and good y in the vertical axis.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 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 country i = H, F have preferences over two goods and y. In each country there is only one factor of production, labour, which is perfectly mobile between industries but immobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowment in Foreign is LF = 10. The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units of good 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 good y per unit of time. Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardless of their prices. That is, Cri = 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 Home and Foreign. (b) Derive the production possibilities frontier (PPF) for Home and Foreign and plot it in a…
- Assume that Trinbago is a small country that produces wine and motor vehicles, where motorvehicles are capital intensive. Trinbago is also capital intensive, and the standard Heckscher -Ohlin(H-O) assumptions hold. (d) In autarky, according to Ohlin, how does Trinbago’s relative price of labour compare to Vincyland’s? (e) Show the necessary graphs to fully explain all requested effects. Ensure to label graphs and give brief explanations. (f) Given that Vincyland is a small country, examine the partial equilibrium welfare effects associated with imposing a tariff on their import good given that the prediction of the imported good yields a positive externality. (g) Should a subsidy have given a more desirable solution. Please explain and provide references.Suppose that Country A and Country B use Labor and Capital to produce two products: Chairs and Printers. Given these production functions, what can we say about each product's factor Intensity? Chairs ЗК + 2L Printers ЗК +5L Both products are Capital-Intensive. Chairs are Capital-intensive and Printers are Labor-Intensive. Both products are Labor-Intensive. Chairs are Labor-intensive and Printers are Capital-Intensive.A software firm has only two inputs to production: domestic programmers based in the firm’s U.K. office and international programmers working from home in low-cost countries.The two types of programmers are perfect substitutes but domestic programmers are more productive due to better communication in the office. The production function is:S = 2D + IWhere S is the amount of software written, D is the number of domestic programmers and I is the number of international programmers. Programmers can work part-time, so hiring 0.3 of a programmer would be possible. (c) The government is concerned about diversity and writes a law saying that at least two workers in any firm must be domestic, and that at least two workers must be international. Show the effect of this law on the firm’s isoquant, the number of each type of worker hired, and total costs.