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- Suppose the production function is given by Y = K0.4 L0.6, where K is amount of land and L is amount of labor used in the production process. In the beginning, the economy has equal amount of labor and land (K = L = 100 units). Answer the following questions: How much output does the economy produce with the given inputs? What are the real rental price of land and the real wage of labor at the optimum? What is the share labor income (WL/PY) in the economy? If a plague kills one-half of the population (i.e., labor), how much does the output of the economy, the rental price of land and the wage of labor change? Answer all four.compute the marginal product of capital (MPK) and the marginal product of capital (MPL) of a. Q=3 K0.4+4 L0.3A producer has the following technology.y= 6K^(1/2)L^(1/2) a) Prove formally that the production function exhibits constant returns to scale (use “λ” argument). b) Find analytically MPL and MPK. Is MPL increasing, decreasing, or constant inL? Is MPK increasing, decreasing, or constant in K? c) Short-run: Given stock of capital ̄K= 1 find labor demand (formula) of a competitive firm. Find equilibrium real wage rate if labor supply is given by Ls= 9 (one number). d) Assume again ̄K= 1 and that Ls= 9. The government adopts a real minimum wage of wmin/p=(3/2). Find labor demand (one number) and the unemployment rate (one number). Please depict the equilibrium on a graph with the real wage on the vertical axis and labor on the horizontal axis, indicating the equilibrium quantity of labor, wage, and unemployment, as well as the relevant curves. e) Find the cost function given prices of inputs wK= 4 and wL= 1 (formula). Plot the cost function on a graph, indicating the slope of the cost…
- Q 1. Given the following production function Where; Y is the total output of the economy K is the amount of land, and L is the labor force of the economy Assume A=1 and = 0.5 The initial values of K and L is 100 units. a. How much output does the economy produce? b. What are the wage and rental price of land? c. What share of output does land receive? d. If a flood damaged half of the land, what is the new level of output in the economy? e. What is the new level of wage and rent? f. What share of output does land receiving now? Q 2. Suppose in an economy, people hold currency worth of 10,000 Rs and 4000 Rs worth of demand deposits in the only bank. The reserve-deposit ratio is 20%. a. What is money supply, monetary base and money multiplier? b. Suppose the economy only bank is a simple bank. It takes deposits and make loans and has no capital. Show the balance sheet of the bank. c. The central bank wants to increase the money supply. Should it buy or sell the Govt bonds in the…Consider a Cobb-Douglas production function, Y=zKα(Nd)1−α, with 0< α <1. (a) Show that this production function exhibits constant returns to scale. (That is, show that when K becomes xK and Nd becomes xNd, Y becomes xY for x > 0. (b) What is MPN? Is it increasing or decreasing in Nd?P232,P5) Hey! Need help with the following macro question, thank you in advance! (chart attatched below) Suppose Die Cast Aluminum Co. is a subcontractor for the auto industry and makes specialized auto parts. There is a bracket it manufactures that it sells for $1.50. The following table shows the number of brackets that can be produced from a given number of labor hours. Assume that the company cannot hire labor for a fraction of an hour. Find the marginal product (in brackets), and the value of the marginal product (in dollars), of each hour of labor. If the wage paid to workers in Die Cast’s plant is $25 per hour, how many hours of labor should the firm employ? How many hours will be employed if the wage increases to $35 per hour? Explain. How many hours will be employed if the wage is $35 per hour, but the price of a bracket declines to $1?
- Q 1. Given the following production function Y=AKα L 1-α Where; Y is the total output of the economy K is the amount of land, and L is the labor force of the economy Assume A=1 and = 0.5 The initial values of K and L is 100 units. a. How much output does the economy produce? b. What are the wage and rental price of land? c. What share of output does land receive?Suppose a firm’s hourly marginal product of labor is given by MPN = A (200 – N) If A = 0.2 and the real wage rate is $10 per hour, how much labor will the firm want to hire? Suppose the real wage rate rises to $20 per hour. How much labor will the firm want to hire? With the real wage rate at $10 per hour, how much labor will the firm want to hire if A rises to 0.5?Why 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.
- Q33 In order to maximize profits, a firm needs to determine the quantity of each factor that it will employ, which is dictated by price as well as productivity of the factor. Assume farmer in the Ottawa area named Justin Trudeau has fixed amounts of land and capital and finds that total product is 24 for the first worker hired, 32 when two workers are hired, 37 when three are hired, and 40 when four are hired. Justin Trudeau product sells for $3 per unit, and the wage rate is $13 per worker. The marginal product of the second worker is Multiple Choice 32 14. 8 1 5Suppose 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 rateQuestion In the short run, a firm operates a factory which it leases for $2000 per annum. To increase output, the firm employs increasing amounts of labour at a wage rate of $500 per worker. The table below shows the relationship between the amount of labour employed and the amount of output produced in the factory. Labour Output (TPPP) APP MMP VC FC TC ATC MC 0 0 ____ ___ 0 _ _ 1 15 2 50 3 80 4 100 5 110 6 115 1. Plot the APP and MPP curves on the same graph 2. Plot the ATC and MC curves on the same graph