Consider an economy where the aggregate production function is given by F(K, L) = 4VKL.Allmarkets are competitive. Suppose the supply of capital and labor are given by K = 4 and L = 7. Compute the equilibrium real wage. Please round your answer to two decimal places. %3D
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- Suppose a country has a production function Y=2K0.5L0.5, where K is the amount of capital and L is the amount of labor. The economy begins with 400 units of capital and 625 units of labor. Find numerical answers to the following. Be sure to show your work. What is the real wage and the real rental price of capital? (Hint: Assume the firms are maximizing profit.) Suppose there is a natural disaster and half of the capital is destroyed. What is the new level of output? What is the new real wage and real rental price of capital? How much output does the economy produce? Please answer all part I will rateConsider 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?The graphs below depict the initial market for labor (on the left) and the macroeconomic production function (on the right). You will use these graphs to identify the effect of an increase in the number of available workers on employment, Potential GDP, and per-worker productivity. Suppose that a substantial increase in labor force participation increases the supply of labor by 40,000 workers at every value of the real wage. (1) Identify the effect of this event on equilibrium employment in the market for labor, and identify the specific new equilibrium level of employment. (2) Identify the effect of this event on Potential GDP, and identify the specific new level of Potential GDP. (3) Finally, identify the effect of this event on per-worker productivity, and identify the specific new level of per-worker productivity. You should embed a graph that clearly depicts (1) the correct supply shift in the market for labor, (2) the new equilibrium real wage, and (3) the new equilibrium…
- Assume that we have a Cobb-Douglas type aggregate production function in the form: Y = Ka.Lb c. Briefly explain why y'>0 or dy/dk > 0 . Is it possible that dy/dk < 0 ? Why? d. Briefly explain why y'' ≤ 0 . e. Find the elasticity of substitution between K and L. What does expansion path look like?Assume that we have a Cobb-Douglas type aggregate production function in the form: Y=KaLb a-)Briefly explain why y''≤0 b-) Find the elasticity of substitution between K and L. What does expansion path look like?The production function is Cobb-Douglas: Y = AK^αL^1−α, where K = 1000, and L = 100. α=0,365 A=2,3 a) How much output does the economy produce?b) What is the real wage rate equal to in equilibrium? c) What is the real rental rate of capital equal to in equilibrium?
- Consider an economy in which the marginal product of labour is given by MPN = A(150 − N), where N is the amount of labor used. The amount of labour supplied is given by 60 + 5(1 − t)w, where w is the real wage and t is the tax rate on labour income. (a) Suppose A = 2 and t = 20%. Calculate the equilibrium levels of real wage and employment. (b) Suppose that the economy experiences an adverse supply shock and A = 1. Everything else remains the same as before. Calculate the equilibrium levels of real wage and employment in this case. (c) Suppose that the government lowers the labour income tax by 50% following the adverse supply shock, i.e., A = 1 and t = 10%. Calculate the equilibrium levels of real wage and employment in this case. (d) Use the labour market diagram to illustrate the adjustments from the original equilibrium in part (a) to the equilibrium in part (b) and then the adjustments from the equilibrium in part (b) to the equilibrium in part (c). Explain the adjustments from…An economy has an aggregate production function to produce goods and services Y = AK1/3L 2/3 where Y represents total output (i.e GDP), K is capital, L is labor, and A is total factor productivity (TFP). This economy devotes a share of 30% of its output to gross investment. Capital depreciates at a rate of 10% per period. The TFP level is one and there are 2 units of labor available for production. • Suppose the economy starts with a capital stock at time t = 1 equal to 1 unit. Write down the values of gross investment, net investment, capital, consumption, and output observed during the subsequent 10 periods • What is the steady state level of capital, assuming A = 1 and L = 2? • Suppose that the economy is at its steady state and there is an increase in the depreciation rate from 0.10 to 0.15. What is the new steady state value for capital? Discuss your results.Assume that there is a discovery of new accessible iron ore deposits off the coast of Newfoundlanc and Labrador and that because of this discovery, people from British Columbia migrate to Newfoundland and Labrador in search for higher paying jobs. What would be the impact on the equilibrium level of real wages and employment in the iron ore sector in Newfoundland and Labrador? Assume that we do not know the magnitude of any changes. the equilibrium real wage rate will decrease but the equilibrium level of employment will increase. 0.the equilibrium level of employment will increase but the change in the real wage rate is unknown. 0.the equilibrium real wage rate will increase but the change in the equilibrium level of employment is unknown. 0.the equilibrium real wage rate will decrease but the change in the equilibrium level of employment is unknown. 0.the equilibrium real wage rate and the equilibrium level of employment will increase.
- Suppose the marginal product of labor in the economy is given by MPN = 200 – 0.5N, while the supply of labor is 100 + 4w Find the market-clearing real wage rate What happens if the government imposes a minimum wage of 40? Is there involuntary unemployment? What happens if the government imposes a minimum wage of 60? Is there involuntary unemployment?What is the quantity of real GDP produced if the real wage rate is at the full-employment equilibrium level? If the real wage rate is at the full-employment equilibrium level, real GDP is _______. A. at its highest attainable and efficient level B. equal to potential GDP, which is the most that can be produced C. at or below potential GDP depending on the level of employment D. equal to potential GDP, which is efficient but is not the most that can be produced1. An economy's firms produce goods along the Cobb-Douglas production function: Y = A * K^0.5 * L^0.5 For it, the marginal product of a worker is MPL = 0.5 * A * K^0.5 / L^0.5, in which K = 16 Workers bargain for wage by looking at the rate of unemployment and inflationary surpise: w = 2 * EP/P *L^0.5 K = 16. The economy is in equilibrium at EP=P=1 and A=9. In it, the number of workers is L=9 and the wage is =6. Now, thanks to temporarily abundant oil, the productivity changed from A=9 to A=16. Find the new equilibrium number of workers. 2. Find the new equilibrium wage at A=16. 3. Graph the change in the labor market equilibrium. Mark the before and after equilibria with E0 and E1. Label axes and curves, map relevant values onto axes.