2. Suppose a production function is q = K1/21/3 and in the short run capital (K) is fixed at 100. If the wage is $10 an rental rate on capital is $20, the short run production function is a. q = 10L 1/3 1/3 b. q = 100L C. 1 9 = 11/3 d. q 10 = 100
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- in an economy with production function Y = 1.5 × K^0.3L^0.7, K = 343, and L = 512. If factor markets are in equilibrium, then the rental price of capital is (approximately) ________, and the real wage is (approximately) ________. A) 0.5; 0.8 B) 7; 8 C) 0.9; 1.35 D) 1.4; 0.4 E) 0.6; 0.9The 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?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…
- 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?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?A production function has two inputs: domestic labor (Edom) and foreign labor (Efor.) The market is originally in equilibrium as shown below, and the production budget is fixed. Suppose a shock occurs that increases the marginal product of domestic labor. Assuming no changes in domestic or foreign wages, what will happen to the quantities of domestic and foreign labor employed? Initial long run equilibrium (prior to shock):
- Suppose that production function is Y=K1/3(AN)2/3 and competitive firms hire capital and labor to produce output. Let r be the return paid to capital and w be the real wage paid to labor. Which of the following is true? Group of answer choices A) a profit-maximizing firm hires capital and labor until average products equal factor prices B) labor income share is 1/3 C) real return to capital r grows at the rate of productivity growth D) real wages w grows at the rate of productivity growthA 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…please sir solve these 3 questions 33- If an increase in the price of one good leads to a fall in the quantity demanded of other than these goods are complementry good A- True B- False 34- the production function is a purely technical relationship between input and output A- True B- False 35- marginal proudact is defined as the change in TP resulting from the employment of an additional unit of a varibal factor: A- True B- False
- Suppose a firm is producing some output level q1 using a combination of capital and labor for which the RTS (MPL/MPK) at this input combination is 1. Suppose further that the wage rate is $20 and the rental rate on capital is $10. Which of the following statements is correct? A. The firm can reduce its costs of producing q1 by using more labor and less capital B. The firm can reduce its costs of producing q1 by using more capital and less labor C. The firm is currently minimizing the costs of producing q1 D. Whether or not the firm is minimizing the costs of producing q1 is indeterminate1) In an economy, the total output of all the firms is described by Y = 8 * K^0.25 * L^0.75. For it, The price level is P=20 and the cost of a unit of capital is R=6. There are L=10 workers in the economy. The payments for capital, or the capital bill, amount to RK=752 in the economy. Find the payments for wage, or wage bill, WL, in the economy. The answer is 2258, I need assistance with how to solve and get that answerProduction function for firm is Ys=ln(Ld)Utility function is U(Yd, Ld)= Ys+ln(1-Ls)1) Write down maximization problem of firm and find labor demand curve2) Write down maximization problem of household and find labor supply curve3) Write down market clearing conditions4) Calculate equilibrium employment and real wage5) If the price is equal to $2, what would be the nominal wage in equilibrium
