Suppose China can produce two goods, cloth and food and has three factors of production labor (L), capital (K) and Land (T for terrain). Food is produced using land and labor while cloth is produced using capital and labor, hence, labor is a mobile factor. Keeping in mind the Specific Factors Model, answer the following questions a) What are the production functions for cloth and food? b) Write down the wage equations for each sector and the slope of the production possibility frontier. c) Drive the production possibility frontier for China [hint 4 quarter diagram] >
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- Suppose China can produce two goods, cloth and food and has three factors of production labor (L), capital (K) and Land (T for terrain). Food is produced using land and labor while cloth is produced using capital and labor, hence, labor is a mobile factor. Keeping in mind the Specific Factors Model, answer the following questions a) What are the production functions for cloth and food? b) Write down the wage equations for each sector and the slope of the production possibility frontier. c) Drive the production possibility frontier for China [hint 4 quarter diagram]Microeconomics 2 - Factor Market - Pareto Optimum Consider an economy in which only 2 factors are capital (K) and labor (L) whose total supply is 100 labor and 100 capital. They are used by only firm that produces only 2 final goods X and Y. The technology describing the production process of each of goods is described by the following production functions: X = 5 Lx + 3 Kx and Y = 1/3 Ly Ky It’s known that the factors have been allocated in such a way that the initial endowment is: Kx = 75; Lx = 85; Ky = 25 and Ly = 15. With these data we ask: Obtain the contract curve corresponding to the production of this economy. Does the starting point constitute a PARETO OPTIMUM? Represent the available information in an Edgeworth Box. Obtain the production possibilities frontier (PFC) curve. Locate the initial endowment THANKS :DHeckscher-Ohlin: Consider an economy with two goods (corn and potatoes), both produced using capital and labor. Both factors can freely move across sectors. The technologies for the two sectors are given by the following Cobb-Douglas production functions:
- Assume an economy producing only two goods (shoes and computers) with a fixed amount of productive resources and technology and employing all its productive resources to the maximum. Production in this economy is subjected to the law of diminishing marginal returns and resources are assumed to be fully optimized. In addition, the cost of sacrificing shoes for computers and vice versa is 1. On the basis of the foregoing assumptions, answer the following questions: i. Draw the economy’s production possibility frontier on hindsight of the relevant assumption. Why are points outside the frontier unattainable? iii. Identify three ways by which the economy can attain the level of production outside the PPF. What happens to the PPF when technological change overwhelmingly favours the production of computers? What happens to the PPF when the economy discovers an improved technology for producing shoes? Assume now that the sacrifice ratio is greater than 1, show what will…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.(a) The firm must produce 10 pieces of software this year. Show the firm’s isoquant in a suitably labelled graph. Put “domestic programmers” on the vertical axis and “international programmers” on the horizontal axis. Label each axis from 0 to 10.Assume an economy producing only two goods (shoes and computers) with a fixed amount of productive resources and technology and employing all its productive resources to the maximum. Production in this economy is subjected to the law of diminishing marginal returns and resources are assumed to be fully optimized. In addition, the cost of sacrificing shoes for computers and vice versa is 1. On the basis of the foregoing assumptions, answer the following questions: i. Draw the economy’s production possibility frontier on hindsight of the relevant assumption. What happens to the PPF when technological change overwhelmingly favours the production of computers? What happens to the PPF when the economy discovers an improved technology for producing shoes? Assume now that the sacrifice ratio is greater than 1, show what will happen to the shape of the production possibility frontier. vii. Mention three (3) conditions under which the sacrifice ratio between the goods will be…
- 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.The information on three different technologies named as q, v and x is listed in the table below. Note that all of these technologies use different combinations of two types of factors of production, labor and capital, to produce 1000 units of output. Consider the first scenario where the per unit prices of the inputs, labor and capital are $50 and $25 respectively. Technology No of Labors Capital (tons) Cost value ($) A 10 50 B 30 20 C 50 10 Now imagine that a discovery has been made which has led to labor advancements leading to a reduction in per unit price of labor to $10, ceteris paribus. Which technology will a typical firm adopt under these changed circumstances and why? Using the value of costs found, what is the value of the economic rent for this firm?Consider 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 Y
- 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 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 workersConsider 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.