Using the model for a closed economy, if the nominal wage is $40 and we have a Cobb-Douglas production function where a = 0.2, L = 400, and labor income + capital income = $2,000, what is the price of the output given the neoclassical theory of distribution holds?
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- We can transform the neoclassical production function to represent output per worker as a function of capital per worker by utilizing the following assumption: a.constant returns to scale b.decreasing returns to scale c.increasing returns to capital d. diminishing returns to capitalNeoclassical Production Function Please write the logarithmic form of this production function, Log Y being the average GDP growth in the period considered, and compute Log A (contribution of TFP to GDP growth) assuming that in a given period according to national account statistics the average GDP growth (Log Y) and labor growth (Log L) have been respectively 5% and 2% while the capital stock growth (Log K) has been estimated at 6% and alpha at 0.4.Consider a competitive, closed economy with a Cobb-Douglas production function with parameter α = 0.25. The parameter A is equal to 60. Assume also that capital is 100, labor is 100. Assume that in this economy consumption (C) is given by the equation C = 600 + 0.6(Y – T). Investment (I) is given by the equation I = 2,000 – 100r, where r is the real rate of interest in percent. Taxes (T) are 500 and government spending (G) is also 500. (Hint: use the GDP obtained in part a). What are the equilibrium values of C, I, and r? What are the values of private saving, public saving, and national saving?
- Suppose that output is produced according to the production function Y = Kα[(1 - u)L]1-α, where K is capital, L is the labor force, and u is the natural rate of unemployment. The national saving rate is s, the labor force grows at rate n, and capital depreciates at rate d. Express output per worker (y = Y/L) as a function of capital per worker (k = K/L) and the natural rate of unemployment (u). Write an equation that describes the steady state of this Find the steady state capital per worker and steady state output per worker. Does this production function have constant returns to scale?Suppose that output is produced according to the production function Y = Kα[(1 - u)L]1-α, whereK is capital, L is the labor force, and u is the natural rate of unemployment. The national savingrate is s, the labor force grows at rate n, and capital depreciates at rate d.a. Express output per worker (y = Y/L) as a function of capital per worker (k = K/L) and thenatural rate of unemployment (u).b. Write an equation that describes the steady state of this economy. Find the steady state capitalper worker and steady state output per worker.c. Does this production function have constant returns to scale? Explain.Suppose that output is produced according to the production function Y =Kα[(1 - u)L]1-α, where K is capital, L is the labor force, and u is the natural rate of unemployment. The national saving rate is s, the labor force grows at rate n, and capital depreciates at rate d. Express output per worker (y = Y/L) as a function of capital per worker (k = K/L) and the natural rate of unemployment (u). Write an equation that describes the steady-state of this economy. Find the steady-state capital per worker and steady-state output per worker. Does this production function have constant returns to scale? Explain.
- Q.No.1. y= 0.4x + 0.09x2 - 0.003x3 For the given production function. Find the following: Level of input use at which stage 2 of neoclassical production function ends Level of input use at which inflection point occurs Level of input use at which APP and MPP intersects each otherE. Is unemployment rate a determinant of the murder rate in this data? Answer "YES" or "NO"______________. F. Is the treatment effect statistically significant at the 95% confidence level? That is, did removing the assault weapons ban have a statistically significant effect on the murder rate? Hint: Think about which coefficient we care about in a diff-in-diff set up. Answer "YES" or "NO"._____________. G. Does running this as a two-way fixed effects model make sense? Answer by inputting the number that is associated with the correct statement:______________.Using the Neoclassical model of Investment, mathematical equations and graphs, explain the real cost to rental firms of owning capital.
- Consider again the canonical OLG model with log preferences and a Cobb-Douglas production function, but assume that individuals now work in both periods of their lives. (a) Define a competitive equilibrium and the steady-state equilibrium. (b) Characterize the steady-state equilibrium and the transitional dynamics in this economy. (c) Can this economy generate overaccumulation?Consider a simple model where workers can be either employed or unemployed. If the job separation rate is s = 0.025 per month and the job finding rate is f = 0.475 per month, the steady state unemployment rate and expected duration of an employment spell are, respectively: 5% and 2.1 months 0.05% and 2.1 months 5% and 3.33 years 5% and 3.33 monthsSuppose that output is produced according to the production function Y =Kα[(1 - u)L]1-α, where K is capital, L is the labor force, and u is the natural rate of unemployment. The national saving rate is s, the labor force grows at rate n, and capital depreciates at rate d. Express output per worker (y = Y/L) as a function of capital per worker (k = K/L) and the natural rate of unemployment (u). Write an equation that describes the steady state of this economy. Find the steady state capital per worker and steady state output per worker. Does this production function have constant returns to scale? Explain.