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- Suppose an economy begins in steady state. By what proportion does per capita GDP change in the long run in reponse to each of the following changes? Production function is Y=AK^1/3L^2/3 d. Earthquake destrys 75% of the capital stock e. Generous immigration policy lead the population to double Fast answerExercise 4: Growth and capital over-accumulationSuppose two countries, A and B, with the same production function Y = KαL1−α. Thevalue of α is 0.30, the growth rate of population is 2% and the depreciation rate is 5%.a) Show that with price-taking firms the share of labor must be 1 − α.b) Compute the stock of capital, output and consumption per unit of labor in the steadystate if the savings rates were 25% for country A and 35% for country B.c) Compare both economies to the Golden Rule.d) Explain what would happen to both countries if suddenly their savings rate becamethe Golden Rule savings rate.Suppose an economy begins in steady state. By what proportion does per capita GDP change in the long run in reponse to each of the following changes? Production function is Y=AK^1/3L^2/3 a. Investment rate doubles b. depreciation rate falls by 10% c. Productivity level rises by 10% d. Earthquake destrys 75% of the capital stock e. Generous immigration policy lead the population to double
- Farmland is a developing country with the following production function:Y = 24L2/3K1/3with Y = Output levelL = Quantity of laborK = Quantity of machinesa. Find the real rate of return for labor. Show your calculation. b. Suppose Farmland is granted some extra machines for production.How would this affect the real rate of return for labor? Explain by using theresult in (a).1. Country A and B both have the production functionY = F (K, L) = K ½L ½or Y = K0.5 L0.5 a) What is the per-worker production function, y= f (k)? Please make sure to write specificfunctional form of the per-worker production function. b) Assume that neither country experiences population growth nor technological progressand that 4 percent of capital depreciates each year. Assume further that country A saves 24percent of output each year and country B saves 16 percent of output each year. Using youranswer from part a) and the steady-state condition, find the steady-state level of capital perworker for each country. Then find the steady-state levels of income per worker for eachcountry and steady-state level of consumption per worker for each country.I have worked on 1-3, but am stuck on 4-6, could you please assist? Suppose that the economy is summarized by the following: Technology (Production Function): Yt = 10 (Kt)0.3 (Lte)0.7 Consumption function: Ct = 0.8Yt Depreciation rate: 8% (i.e. δ= 0.08) Population growth: 2% (i.e. n = 0.02) Technological growth: 4% (i.e. g = 0.04) QUESTIONS: Find the steady state (long run) equilibrium values of kte, yet, and cet. Show graphically what would be the effect of a increase of the saving rate to s=0.4? Show graphically what would be the effect of an increase in population growth to 0.04? Assuming that in 2013 the US economy is in the steady state and L2013 = Le2013 = 8, what is the value of ke2014, ye2014, ce2014 , k2014, y2014, and c2014 ? Use your answer to e) to calculate the growth rate of ket, yet, cet , kt, yt, and ct Based on your answers to the previous questions and on your knowledge of how the Solow growth model works, explain what policies should a less-developed country…
- Give only typing answer with explanation and conclusion The production function in an economy is given by Y = K0.4L0.6, where Y is output level, K is capital input, and L is labour input. The saving rate is 24%, the annual population growth rate is 4%, and annual depreciation rate is 2%.asap Suppose the economy's production function is Y = AKO.3NO.7. If K=2000, N = 100, and A = 1, then Y=246. If K and N both rise by 20%, and A is unchanged, by how much does Y increase?Barcode technology spurred a lot of investment in retailing.How did it alter the retailing production function?What would a similar amount of investment have accomplised without the new technology?
- y=zk^2/3 For this economy, derive the competitive equilibrium, and derive the equation that solves for a steady state capital stock per worker.When capital increases by ΔK units and labor increases by ΔL units, and there is no TFP growth, output (ΔY) increases by: a. ΔK + ΔL units. b. MPL + MPK units. c. (MPK × ΔK) + (MPL × ΔL) units. d. (MPL × ΔK) + (MPK × ΔK) units.Draw an example production function in terms of output and capital.GIVE 2 specific properties which define its shape; explain these usingthe definition and properties of MPK.