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Human Capital Our textbook points out that human capital is not included in the simple model...
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions...
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
SHOW ALL WORK!!! 2. For the following Cobb-Douglas production function, q=f(L,K) = _0.45 0.7 a. Derive expressions for m...
SHOW ALL WORK!!!
2. For the following Cobb-Douglas production function, q=f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
Economic Growth II — Work It Out Question 2 In the nation of Wooknam, the capital...
Economic Growth II — Work It Out Question 2 In the nation of Wooknam, the capital share of GDP is 35 percent, the average growth in output is 3.0 percent per year, the depreciation rate is 5.0 percent per year, and the capital-output ratio is 4.5. Suppose that the production function is Cobb- Douglas and that Wooknam has been in a steady state. Round answers to two places after the decimal when necessary. a. In the initial steady state, what...
Gregory Mankiw, Macroeconomics (10th) Chapter 3 - Problems and Applications #1,3,7 PROBLEMS AND APPLICATIONS 1. Use...
Gregory Mankiw, Macroeconomics (10th)
Chapter 3 - Problems and Applications #1,3,7
PROBLEMS AND APPLICATIONS 1. Use the neoclassical theory of distribution to predict the impact on the real wage and the real rental price of capital of each of the following events: a. A wave of immigration increases the labor force b. An earthquake destroys some of the capital c. A technological advance improves the d. High inflation doubles the prices of all factors stock production function. and outputs in...
#1 (2 points) What are the relationships that the aggregate production function repre- sents? As a...
#1 (2 points) What are the relationships that the aggregate production function repre- sents? As a hypothetical example, describe each part of the function as if the variables represent data from the United States. #2 (2 points) In economics, what is the difference between the short run and long run? Is the aggregate production function a short run or long run model? #3 For this question use this aggregate production function: Y = AK1/4 [3/4 Part A) (2 points) Does...
Economic Growth II — Work It Out Question 2 In the nation of Wooknam, the capital...
Economic Growth II — Work It Out Question 2 In the nation of Wooknam, the capital share of GDP is 40 percent, the average growth in output is 3.0 percent per year, the depreciation rate is 6.5 percent per year, and the capital output ratio is 4.5. Suppose that the production function is Cobb! Douglas and that Wooknam has been in a steady state. Round answers to two places after the decimal when necessary. c. Suppose that public policy alters...
1. First, you will have to determine what kind of firm you want to be and...
1. First, you will have to determine what kind of firm you want to be and what product you will (hypothetically) produce. 2. Next, you will have to describe the production function of your firm. Naturally production processes are very complex, so you might have to aggregate inputs in 2 categories, capital and labor. These are things you should keep in mind when choosing your specification: a. Does this production process exhibit increasing, decreasing or constant returns to scale? b....
In this assignment, you will need to come up with a production function for a firm....
In this assignment, you will need to come up with a production function for a firm. 1. First, you will have to determine what kind of firm you want to be and what product you will (hypothetically) produce. 2. Next, you will have to describe the production function of your firm. Naturally production processes are very complex, so you might have to aggregate inputs in 2 categories, capital and labor. These are things you should keep in mind when choosing...
15. Consider an economy, with a production function given by Y-AK03L07. This economy's annual GDP growth...
15. Consider an economy, with a production function given by Y-AK03L07. This economy's annual GDP growth rate is 5%. Also assume that L and Kare both growing at annual rates of 2%. Calculate the growth rate of total factor productivity for this economy. a. 2.0% b. 3.0% 4.0% c. d. 5.0% 16. Suppose output is determined by a Cobb-Douglas production function Y=AK L1 Where 0ca<1. If total factor productivity (A) remains constant, but labour (L) and capital (K) inputs both...
Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function...
Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function of the form: q = 5LK+K+L where q is units per day, L is units of labor input and K is units of capital output. The marginal product of the two inputs are: MPL = 5K+1, MPK = 5L +1. Price per unit of labor: w= $15, price per unit of capital: v= $15. Both labor and capital are variable. a. Write down the...
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
SHOW ALL WORK!!!
2. For the following Cobb-Douglas production function, q=f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
Economic Growth II — Work It Out Question 2 In the nation of Wooknam, the capital share of GDP is 35 percent, the average growth in output is 3.0 percent per year, the depreciation rate is 5.0 percent per year, and the capital-output ratio is 4.5. Suppose that the production function is Cobb- Douglas and that Wooknam has been in a steady state. Round answers to two places after the decimal when necessary. a. In the initial steady state, what...
Gregory Mankiw, Macroeconomics (10th)
Chapter 3 - Problems and Applications #1,3,7
PROBLEMS AND APPLICATIONS 1. Use the neoclassical theory of distribution to predict the impact on the real wage and the real rental price of capital of each of the following events: a. A wave of immigration increases the labor force b. An earthquake destroys some of the capital c. A technological advance improves the d. High inflation doubles the prices of all factors stock production function. and outputs in...
#1 (2 points) What are the relationships that the aggregate production function repre- sents? As a hypothetical example, describe each part of the function as if the variables represent data from the United States. #2 (2 points) In economics, what is the difference between the short run and long run? Is the aggregate production function a short run or long run model? #3 For this question use this aggregate production function: Y = AK1/4 [3/4 Part A) (2 points) Does...
Economic Growth II — Work It Out Question 2 In the nation of Wooknam, the capital share of GDP is 40 percent, the average growth in output is 3.0 percent per year, the depreciation rate is 6.5 percent per year, and the capital output ratio is 4.5. Suppose that the production function is Cobb! Douglas and that Wooknam has been in a steady state. Round answers to two places after the decimal when necessary. c. Suppose that public policy alters...
1. First, you will have to determine what kind of firm you want to be and what product you will (hypothetically) produce. 2. Next, you will have to describe the production function of your firm. Naturally production processes are very complex, so you might have to aggregate inputs in 2 categories, capital and labor. These are things you should keep in mind when choosing your specification: a. Does this production process exhibit increasing, decreasing or constant returns to scale? b....
In this assignment, you will need to come up with a production function for a firm. 1. First, you will have to determine what kind of firm you want to be and what product you will (hypothetically) produce. 2. Next, you will have to describe the production function of your firm. Naturally production processes are very complex, so you might have to aggregate inputs in 2 categories, capital and labor. These are things you should keep in mind when choosing...
15. Consider an economy, with a production function given by Y-AK03L07. This economy's annual GDP growth rate is 5%. Also assume that L and Kare both growing at annual rates of 2%. Calculate the growth rate of total factor productivity for this economy. a. 2.0% b. 3.0% 4.0% c. d. 5.0% 16. Suppose output is determined by a Cobb-Douglas production function Y=AK L1 Where 0ca<1. If total factor productivity (A) remains constant, but labour (L) and capital (K) inputs both...
Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function of the form: q = 5LK+K+L where q is units per day, L is units of labor input and K is units of capital output. The marginal product of the two inputs are: MPL = 5K+1, MPK = 5L +1. Price per unit of labor: w= $15, price per unit of capital: v= $15. Both labor and capital are variable. a. Write down the...
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