Consider an economy where the aggregate production function is characterized by the following equation: Y=2N^1/2. The...
Consider an economy where the aggregate production function is characterized by the following equation: Y=2N^1/2. The labor supply curve is given by the following equation: Ns=8(W/P). Derive the labor demand curve and calculate the equilibrium real wage and the equilibrium level of labor.
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Consider an economy where the aggregate production function is
characterized by the following equation: Y=2N^1/2. The...
2. Consider an economy where production is given by Y = AN. Assume that price setting...
2. Consider an economy where production is given by Y = AN. Assume that price setting and wage setting are given by: Price setting: P=(1+m) Wage setting: W=AⓇP® (1 – u) Recall that the relation between employment (N), the labour force (L) and the unemployment rate (u) is given by: N= (1-u)L (a) Derive the aggregate supply curve (that is, the relation between the price level and the level of output given by the markup, the actual and expected level...
Consider the following model of the economy Production function: Y = A·K·N – N2/2 Marginal produ...
Consider the following model of the economy Production function: Y = A·K·N – N2/2 Marginal product of labor: MPN = A·K – N. where the initial values of A = 10 and K = 10. The initial labor supply curve is given as: NS = 50 + 4w Initial conditions in the goods market Cd = 790 + .50(Y-T) – 500r Id = 1000 – 500r G = 800 T = 100 Md/P = 110 + 0.5Y- 1000(r + πe) ...
Work It Out. Consider an economy with the following Cobb-Douglas production function: Y= 5K/3L2/3 where L...
Work It Out. Consider an economy with the following Cobb-Douglas production function: Y= 5K/3L2/3 where L the wag the sect are will a. If w wh a. Derive the equation describing labor demand in this economy as a function of the real wage and the capital stock. (Hint: Review Chapter 3.) b. The economy has 27,000 units of capital and a labor force of 1,000 workers. Assuming that factor prices adjust to equilibrate supply and demand, calculate the real wage,...
8. Suppose that the production function is Y=5K0.5N0.5. With the production function, the marginal product of...
8. Suppose that the production function is Y=5K0.5N0.5. With the production function, the marginal product of labor is MPN=0.5K0.5N-0.5. The capital stock is K=30. The labor supply curve is NS=100[(1-t)w]2, where w is the real wage rate, t is the tax rate on labor income, and hence (1-t)w is the after-tax real wage rate. a) Assume that the tax rate on labor income, t, equals zero. Find the equation of the labor demand curve. Calculate the equilibrium levels of the real...
1. Consider the following production function: Y = A min{2N, K} (1) where A measures productivity,...
1. Consider the following production function: Y = A min{2N, K} (1) where A measures productivity, N is labor employed by the firm, and K is capital. The firm chooses labor and capital, taking productivity as given. Labor can be purchased at a constant wage, W, and capital at a constant rate, R. (a) Derive the cost function C = C(W,R,Y) for the firm. (b) Show that costs decrease in productivity, A. (c) Consider two companies with cost functions Yị...
Q. 1 Consider an economy with the following Cobb-Douglas production func- tion: Y = 5K The...
Q. 1 Consider an economy with the following Cobb-Douglas production func- tion: Y = 5K The economy has 27,000 units of capital and a labour force of 1,000 workers. a. Derive the equation describing labour demand in this economy as a function of the real wage and the capital stock. b. If the real wage can adjust to equilibrate labour supply and labour de- mand, what is the real wage? In this equilibrium, what are employment, output, and the total...
3. (55 points total) An economy's aggregate production function is given by Y- A K N-N2....
3. (55 points total) An economy's aggregate production function is given by Y- A K N-N2. The marginal product of labor for this production function is MPN A K- 2N. (a) (10 points) Assume that A- 8 and K- 10. Suppose that the labor supply function for this economy is given by NS 20+ 2w. Find the equilibrium real wage rate, the full employment level of employment, and the full-employment level of output for this economy Draw a production function...
Question 3: (45 marks] Suppose the price-setting equation is given by P= (1 + m)W where...
Question 3: (45 marks] Suppose the price-setting equation is given by P= (1 + m)W where m is the markup. The wage-setting equation is given by W = pe? where z are unemployment benefts and u is the unemployment rate. 1. Derive the real wage and unemployment consistent with equilibrium in the labor market in the medium run. Is this the natural rate of unemployment? Does the equilibrium rate of unemployment change if unemployment benefts decrease? Explain? (8 marks] 2....
Question 3: (45 marks] Suppose the price-setting equation is given by P= (1+mW where m is...
Question 3: (45 marks] Suppose the price-setting equation is given by P= (1+mW where m is the markup. The wage-setting equation is given by W = pe? where z are unemployment benefts and u is the unemployment rate. 1. Derive the real wage and unemployment consistent with equilibrium in the labor market in the medium run. Is this the natural rate of unemployment? Does the equilibrium rate of unemployment change if unemployment benefts decrease? Explain? (8 marks] 2. Draw the...
1. Suppose that I give you an aggregate production function: Y = AK^(1/2)N^(1/2) a) Suppose that ...
1. Suppose that I give you an aggregate production function: Y = AK^(1/2)N^(1/2) a) Suppose that A = 1 and K = 4. Derive the labour demand curve. b) If the labour supply curve is: w = (1 − t) √ N^s Solve for the equilibrium real wage and full employment level of employment when t = 0.75. What is the full employment level of output? c) Suppose that A(prime aka future) = 1/2 temporarily. K is unchanged and the...
2. Consider an economy where production is given by Y = AN. Assume that price setting and wage setting are given by: Price setting: P=(1+m) Wage setting: W=AⓇP® (1 – u) Recall that the relation between employment (N), the labour force (L) and the unemployment rate (u) is given by: N= (1-u)L (a) Derive the aggregate supply curve (that is, the relation between the price level and the level of output given by the markup, the actual and expected level...
Work It Out. Consider an economy with the following Cobb-Douglas production function: Y= 5K/3L2/3 where L the wag the sect are will a. If w wh a. Derive the equation describing labor demand in this economy as a function of the real wage and the capital stock. (Hint: Review Chapter 3.) b. The economy has 27,000 units of capital and a labor force of 1,000 workers. Assuming that factor prices adjust to equilibrate supply and demand, calculate the real wage,...
1. Consider the following production function: Y = A min{2N, K} (1) where A measures productivity, N is labor employed by the firm, and K is capital. The firm chooses labor and capital, taking productivity as given. Labor can be purchased at a constant wage, W, and capital at a constant rate, R. (a) Derive the cost function C = C(W,R,Y) for the firm. (b) Show that costs decrease in productivity, A. (c) Consider two companies with cost functions Yị...
Q. 1 Consider an economy with the following Cobb-Douglas production func- tion: Y = 5K The economy has 27,000 units of capital and a labour force of 1,000 workers. a. Derive the equation describing labour demand in this economy as a function of the real wage and the capital stock. b. If the real wage can adjust to equilibrate labour supply and labour de- mand, what is the real wage? In this equilibrium, what are employment, output, and the total...
3. (55 points total) An economy's aggregate production function is given by Y- A K N-N2. The marginal product of labor for this production function is MPN A K- 2N. (a) (10 points) Assume that A- 8 and K- 10. Suppose that the labor supply function for this economy is given by NS 20+ 2w. Find the equilibrium real wage rate, the full employment level of employment, and the full-employment level of output for this economy Draw a production function...
Question 3: (45 marks] Suppose the price-setting equation is given by P= (1 + m)W where m is the markup. The wage-setting equation is given by W = pe? where z are unemployment benefts and u is the unemployment rate. 1. Derive the real wage and unemployment consistent with equilibrium in the labor market in the medium run. Is this the natural rate of unemployment? Does the equilibrium rate of unemployment change if unemployment benefts decrease? Explain? (8 marks] 2....
Question 3: (45 marks] Suppose the price-setting equation is given by P= (1+mW where m is the markup. The wage-setting equation is given by W = pe? where z are unemployment benefts and u is the unemployment rate. 1. Derive the real wage and unemployment consistent with equilibrium in the labor market in the medium run. Is this the natural rate of unemployment? Does the equilibrium rate of unemployment change if unemployment benefts decrease? Explain? (8 marks] 2. Draw the...
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