Suppose an economy's production is defined by the following neoclassical production function: Y=3K1/3L2/3. Derive the labor demand equation by expressing labor, L, as a function of the real wage, w=W/P Don't answer by pen paper and don't use chatgpt otherwise we will give dounvote
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Suppose an economy's production is defined by the following neoclassical production function: Y=3K1/3L2/3. Derive the labor
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- Intermediate Macroeconomics, Chapter 4 nel, 127 4.4 Exercisessbi cod hasdioeoolslngo) S. seea Yei ted loo-ddo i noonu noitouh ng Exercise 4.1 (The U.S. Population Slowdown and Income Per Capita). noitaluqoq bnn losig) U.S. Population in Selected Years o bns boirsq ai fsbom wolo2 adt o Year ToMood o (n or 1870 anbron ber boaont 1871 Population in millions ottslogobiw 40.24 tadn toq lesiqes 41.10 S c 2015 abon hec 321.08 wolod ards lo eoteteng sdi lo eod ai A bas A paiepa sige 323.30 2016 V ent por yo lssa Jobom the al output 1. Using the information provided in the table, calculate the population bojon growth rate between 1870 and 1871 and between 2015 and 2016. Denote these two numbers n and n', respectively.sTbalonab bast bas lo Todmun odt tadd osogqueI>o > 0 dtiw T = (.T) s9 0.1), 2. Suppose that the depreciation rate is 10 percent per year (8 = 0odT (n+I)=14.e adt boinoq roq 0Some economists believe that the U.S. economy as awhole can be modeled with the following productionfunction, called the O,bb-Douglas prod11ctio11 Ju11ctio11:Y = AK1/3 L 2/3,where Y is the amount ol outpu~ K is cl,e amount ofcapital, Lis the an10u.nt of labor, and A is a paran,eterthat measures the slate of technology. For this productionfunction, tl,e marginal product of labor isMPL = (2/3) A(K/ L)1/3 ·Suppose that the price of output Pis 2, A is 3, K is1,000,000, and Lis 1,000. The labor market is competitive,so labor is paid the value of its marginal product.a. Calcula te cl,e amount of output produced Y and thedollar value ol output PY.b. Calcula te cl,e wage Wand cl,e real wage W JP. (Note:11,e wage is labor compensation measured in dol•lars, whereas the real wage is labor compensationmeasured in units ol output.)c. Calcula te cl,e labor share (the fraction of the value ofoutpu t that is paid to labor), which is (Wl.)/(PY).d. Calcula te what happens to output Y, the wage W,the…Hi, Please help me with this Econ problem, specifically, the demand (D) line shift and responses to the two questions. Thank you!An economy has the following Cobb-Douglas production function: ?=100?^(1/3)?^(2/3) . The economy has 125 units of capital and 64 units of labor. d. Calculate the marginal product of capital MPK. e. Calculate the marginal product of labor (MPL).(ii) What is the relation between Kt and Ht? Use this relation to write down total output as a function of Ktonly. Imagine that the number of people in this economy, Nt, is different from the number of workers because some people do not work. Lt Let lt - be the number of workers per capita (the fraction of the population that works). Let y Nt Yt be output per capita and Nt Kt kt be capital per capita. Finally, let n be the rate of population growth and y, be the growth rate of labor. Nt (iii) Using the "effective production function" you derived in (b), write down output per capita, yt, as a function of capital per capita, kt, labor per capita, lt, the level of population Nt, and the level of technology, A. Following Solow and Swan, assume there is no government and no net exports, that the depreciation rate of capital is the constant 8 > 0 and the savings rate is constant 0 < s < 1. (iv) DERIVE the fundamental equation of Solow-Swan. How does the growth rate of capital depend on…There are two factors of production, X and Y. They are being used to produce a fixed amount of output called A. If the amount of output, A is held constant, and the isoquants are convex, would the price of X going down always mean less of Y is used? Explain why or why not by explaining through the use of a graph.Consider the “production” of food, which uses various types of inputs: “labor” (e.g., cooks); “capital” (e.g., restaurants and equipment); and “raw materials” (e.g., ingredients). Suppose that labor accounts for 50% of fast food costs while capital and raw materials account for 25% each. Briefly explain whether each of the following parts are true, false, or uncertain a. If raw material prices double (i.e., increase by 100%) while labor and capital prices are unchanged, then using the same mix of labor, capital, and raw materials will require a 25% increase in expenditures. b. If raw material prices double (i.e., increase by 100%) while labor and capital prices are unchanged, then achieving the same health outcomes (i.e., producing the same amount of “output”) will require a 25% increase in expenditures.WHAT DO YOU MEAN BY THE INDIVISIBILTY OF THE FIXED FACTOR IN ECONOMICS EXPLAIN IT thankuWhy do we assume that changes to Total Factor Production are persistent? i know that its important and that it affects the outcome. is it because persistent means the changes are not temporary in the market and therefore doesnt try to readjust over time but rather it has long term affects.SEE MORE QUESTIONS