Consider an economy that has a labor endowment of L = 40 units. The production functions are x = 0.5Lx and y = 4Ly, where x and y are consumption goods while Lx and Ly represent the labor allocation. What is the equation for the PPF?
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Consider an economy that has a labor endowment of L = 40 units. The production functions are x = 0.5Lx and y = 4Ly, where x and y are consumption goods while Lx and Ly represent the labor allocation. What is the equation for the
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- Consider an economy that has a labor endowment of L = 40 units. The production functions are x = 0.5L, and y = 4Ly, where x and y are consumption goods while L, and Ly represent the labor allocation. What is the equation for the PPF? 8x + y = 160 6x + 2y = 80 6x + y = 120 8x + 2y = 80Consider an economy that produces two goods , X and Y. Use a production box diagram to construct the production possibility frontier for these two goods. Also indicate the optimal consumption point and price ratio that will prevail. Suppose now that technical progress causes the X isoquants to shift towards the origin. How will this affect the production possibility frontier, the optimal consumption point and equilibrium price ratio for X and YEBP Construction is producing cements and plywood. The production function of the economic goods are presented in the table below. Graph the PPF. DESCRIBE THE NATURE OF A-F. Describe the nature of point G which is inside the PPF. Describe the nature of point H which is outside the PPF.
- An economy has 8 units of labor and 8 units of capital that are allocated between industry X, with the DRTS production function x = K^(1/4)L^(1/4), and industry Y, with the CRTS production function y = K^(1/2)L^(1/2). Derive and graph the Production Possibilities Frontier for this economy. All consumers believe X and Y are perfect complements with tastes U = min (Y, 2X). Calculate production levels that are consistent with tastes and show these in your diagram.Suppose two economies Home (H) and Foreign (F) produce two goods, bread and wine, with only one production factor: labour. Production technology, expressed as marginal product of labour (MPL), is given in the following table: Technologies expressed as MPL Bread Wine Home 1/6 1/12 Foreign 1/4 1/2 Suppose that Home has 2400 units of labour and Foreign has 1800 units of labour. a. ) Derive the Production Possibilities Frontier (PPF) and the Consumption Possibility Frontier (CPF) for Home and Foreign, with bread on the horizontal axis and wine on the vertical axis. What is the autarky equilibrium price of bred relative to wine in each country? b.) What country has the absolute advantage in producing each good? What country has the comparative advantage in producing each good? Briefly explain the difference between these two concepts. Suppose both countries are now free to trade. The world relative price of bread is 1. c. What is the pattern of specialisation and trade?…Consider Robinson Crusoe who lives alone on the island. He can produce two goods eggs (good X) and yoghurt (good Y). The only input to the production of these goods is his labour. He works 12 hours per day and sleeps for 12 hours - there is no time to play- this is a very grim economy... Let Lx denote the amount of time devoted to producing eggs (good X) and Ly denote the amount of time devoted to producing yoghurt (good Y). Eggs are produced using the production technology X = 5√Lx and yoghurt is produced using the production technology Y = 4Ly. His preferences for eggs and yoghurt are described by the indifference curves with marginal rate of substitution MRSxy = Y/X. a) What is the production possibility frontier (PPF) for this economy? Hint: find how much labour is required to produce x eggs and y yoghurts and then use the resource constraint that the total labour available is 12 hours. What is the slope of the PPF? Remember, it is called MRT.
- Consider a specific-factors model where two Countries, Denmark and Tanzania, use labor to produce cake (C) and helicopters (H). However, arable land (A) are a factor specific to cake, and jerrycans (J) are a factor specific to helicopters. Suppose that Tanzania has L = 100 workers, J = 40 jerrycans, and A = 1000 arable land. The production functions and marginal products of labor for cake and helicopters are: C = 4 x Lc %D 0.5 x A0.5 MPLC = 2 x Lc0.5 x A0.5 H = 4 x LH0.5 x J0.5 MPLH = 2 x LH-0.5 x J0.5 In Tanzania, the price of crystals is 20 and the price of hyperdrives is 200. In this case, the wage rate will be ___ and the cake industry and will be employed in the helicopter industry. %3D workers will be employed in workersIn the Heckscher Ohlin two good (food and cloth), two factor (capital and labour) model suppose that the following information is given: The economy has 6,000 units of capital and 4,000 units of labour. Also, Producing one yard of cloth requires a combination of 4 labour-hours and 4 machine-hours. The production of one unit of food requires 2 labour-hour and 6 machine-hour. There is no possibility of substitution labour for capital. Write out the resource constraint equation for (a) capital (b) labour (c) What can you say about the shape and characteristics of the PPF? (d) Draw the PPF of this economy and explain what is going on.Consider a specific-factors model where two Countries, Denmark and Tanzania, use labor to produce cake (C) and helicopters (H). However, arable land (A) are a factor specific to cake, and jerrycans (J) are a factor specific to helicopters. Suppose that Tanzania has L = 100 workers, J = 40 jerrycans, and A = 1000 arable land. The production functions and marginal products of labor for cake and helicopters are: C = 4 x Lc0.5 x A0.5 MPLc = 2 x Lc-0.5 x A0.5 H = 4 x LH0.5 x J0.5 MPLH = 2 x LH-0.5 x J0.5 In Tanzania, the price of crystals is 20 and the price of hyperdrives is 200. In this case, the wage rate will be ________ and ________ workers will be employed in the cake industry and __________ workers will be employed in the helicopter industry.
- The graph to the right depicts an economy, Home, that produces both flowers and soybeans. Flowers are the labor intensive good and soybeans are the land intensive good. Home presently exports flowers. The graph also indicates Home's optimal point of production, X. Suppose that Home has acquired more land in which it can now produce 12 units of soybeans if all land were devoted toward its production. Using the three-point curved line drawing tool, draw the new production possibilities frontier that indicates this biased growth of land in Home. Properly label this curve. Carefully follow the instructions above and only draw the required object. The growth biased toward land causes OA. export-biased growth. O B. a decrease in the relative price of flowers. OC. a rightward shift of the relative supply curve. O D. import-biased growth. 16- 15- 14- 13- 12- 11- 10- 9- 7- 6- 5- Growth of a Factor Soybean output VV TT 7 8 9 10 11 12 13 14 15 16 Flower output €Suppose a bakery has 14 employees to be designated as bread bakers (B) and cake bakers (C), so that B +C= 14. Given the following production functions, y = 4805 and x= c0.5 an equation for the production possibilities frontier is y=Suppose that the Italian economy produces two goods: Glass and Concrete. Both goods are produced using Workers (L) and Sand (K). The graphs below show allocations of L. and K to the two industries. Solid Orange curves represent Glass isoquants, while dotted Blue curves represent Concrete isoquants. A) Sketch the production contract curve for this economy. Explain what this represents in words. B) Draw an approximation of the production possibilities frontier for this economy. Explain any curvature or kinks (or lack thereof).