Homework Answers
Ans.
Add Answer to:
Find the marginal-product functions for the Cobb-Douglas production func- tion A 0, 0<ai1 for i =...
8 Find the marginal-product functions for the Cobb-Douglas production func- tion for i 1, 2, 3,...
8 Find the marginal-product functions for the Cobb-Douglas production func- tion for i 1, 2, 3, 4 a2a3a4 y Axixx3x4 A> 0, 0< ai <1
8. Find the marginal-product functions for the Cobb-Douglas production func- tion y = A.X. XXX A>0,0<«;...
8. Find the marginal-product functions for the Cobb-Douglas production func- tion y = A.X. XXX A>0,0<«; <1 for i = 1, 2, 3, 4
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...
Question-3 (Marginal Products and Returns to Scale) (30 points) Suppose the production function is Cobb-Douglas and...
Question-3 (Marginal Products and Returns to Scale) (30 points)
Suppose the production function is Cobb-Douglas and f(x1; x2) =
x1^1/2 x2^3/2
1. Write an expression for the marginal product of x1.
2. Does marginal product of x1 increase for small increases in
x1, holding x2 fixed? Explain
3. Does an increase in the amount of x2 lead to decrease in the
marginal product of x1? Explain
4. What is the technical rate of substitution between x2 and
x1?
5. What...
8 Consider the following 3-input version of a Cobb-Douglas production function y Axxx A 0, 0a,...
8 Consider the following 3-input version of a Cobb-Douglas production function y Axxx A 0, 0a, B, y < 1 Find the first- and second-order partial derivatives, and determine the signs. What is the economic interpretation of the signs of these derivatives?
Assume the following Cobb-Douglas production function: Assume the following Cobb-Douglas production function: Y = AK 0.4...
Assume the following Cobb-Douglas production function:
Assume the following Cobb-Douglas production function: Y = AK 0.4 20.6 If Y=12; K=8; and L=95, answer the following questions (SHOW ALL YOUR WORK): - 1. What is total factor productivity? 2. With your answer in (1), assume L=95 and estimate the production function with respect to K 3. Estimate the marginal product of capital and demonstrate diminishing marginal product of capital 4. Estimate real capital income 5. Estimate the share of capital income...
In a Cobb Douglas production function the marginal product of labor will increase if: a. the...
In a Cobb Douglas production function the marginal product of labor will increase if: a. the quantity of labor increases. b. the quantity of capital increases. c. capital's share of output increases. d. average labor productivity decreases.
9. (chapter 6) If the Cobb-Douglas production function is 92- , what is the average product...
9. (chapter 6) If the Cobb-Douglas production function is 92- , what is the average product of labor ( 447 ), holding capital fixed (that is, just leaving K alone in the equation)? , what is the marginal |10. (chapter 6) If the Cobb-Douglas production function is 9=- product of labor ( MP4 )?
A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(c1,c2) =...
A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(c1,c2) = ccm, where Ct = consumption in period t and a + b = 1. Her income in period one is I1 = 500 and 12 = 400, and she can lend or borrow at interest rate r = 0.2. (a) Find the optimal consumption demand. (b) What values of a, if any, makes the consumer a borrower? Interpret this result. (c) Suppose now that...
Assume a Cobb-Douglas production function F(KL) = Kal1-a with 0 < x < 1, which means...
Assume a Cobb-Douglas production function F(KL) = Kal1-a with 0 < x < 1, which means f(k) = k«. (f) [4 marks] Does the saving rate SGR needed for the Golden rule rise, remain the same, or fall when climate change increases 8? Explain your argument.
8 Find the marginal-product functions for the Cobb-Douglas production func- tion for i 1, 2, 3, 4 a2a3a4 y Axixx3x4 A> 0, 0< ai <1
8. Find the marginal-product functions for the Cobb-Douglas production func- tion y = A.X. XXX A>0,0<«; <1 for i = 1, 2, 3, 4
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...
Question-3 (Marginal Products and Returns to Scale) (30 points)
Suppose the production function is Cobb-Douglas and f(x1; x2) =
x1^1/2 x2^3/2
1. Write an expression for the marginal product of x1.
2. Does marginal product of x1 increase for small increases in
x1, holding x2 fixed? Explain
3. Does an increase in the amount of x2 lead to decrease in the
marginal product of x1? Explain
4. What is the technical rate of substitution between x2 and
x1?
5. What...
8 Consider the following 3-input version of a Cobb-Douglas production function y Axxx A 0, 0a, B, y < 1 Find the first- and second-order partial derivatives, and determine the signs. What is the economic interpretation of the signs of these derivatives?
Assume the following Cobb-Douglas production function:
Assume the following Cobb-Douglas production function: Y = AK 0.4 20.6 If Y=12; K=8; and L=95, answer the following questions (SHOW ALL YOUR WORK): - 1. What is total factor productivity? 2. With your answer in (1), assume L=95 and estimate the production function with respect to K 3. Estimate the marginal product of capital and demonstrate diminishing marginal product of capital 4. Estimate real capital income 5. Estimate the share of capital income...
9. (chapter 6) If the Cobb-Douglas production function is 92- , what is the average product of labor ( 447 ), holding capital fixed (that is, just leaving K alone in the equation)? , what is the marginal |10. (chapter 6) If the Cobb-Douglas production function is 9=- product of labor ( MP4 )?
A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(c1,c2) = ccm, where Ct = consumption in period t and a + b = 1. Her income in period one is I1 = 500 and 12 = 400, and she can lend or borrow at interest rate r = 0.2. (a) Find the optimal consumption demand. (b) What values of a, if any, makes the consumer a borrower? Interpret this result. (c) Suppose now that...
Assume a Cobb-Douglas production function F(KL) = Kal1-a with 0 < x < 1, which means f(k) = k«. (f) [4 marks] Does the saving rate SGR needed for the Golden rule rise, remain the same, or fall when climate change increases 8? Explain your argument.
Most questions answered within 3 hours.
-
1. An object weighing 40 N rests on a surface. The coefficient
of friction is 0.35....
asked 51 minutes ago -
Investor company owns 35% of investee company voting stock and
accounts for the investment under the...
asked 1 hour ago -
The number of major faults on a randomly chosen 1 km stretch of
highway has a...
asked 2 hours ago -
Consider the competitive environment of Starbuck's, Progressive
Insurance, a manufacturing firm with low turnover, or a...
asked 3 hours ago -
3. Gains from trade
Consider two neighbouring island countries called Euphoria and
Contente. They each have...
asked 5 hours ago -
A business executive has the option to invest money in two
plans: Plan A guarantees that...
asked 7 hours ago -
Hello, can someone please help me answer this question?
How much heat is absorbed by a...
asked 7 hours ago -
. A marketing researcher conducted a survey of 25 shoppers
randomly selected at the local mall...
asked 7 hours ago -
Create an comprehensive response to the
following:
Antimicrobial agents work on a multitude of microbes (bacteria,...
asked 7 hours ago -
6.13 LAB: Step counter. Section 6.3.
A pedometer treats walking 2,000 steps as walking 1 mile....
asked 7 hours ago -
(14.2) A block of mass m = 10 kg riding on a frictionless
horizontal plane is...
asked 7 hours ago -
Use any search engine to search for articles about Starbucks
partnership with Tata Companies in India...
asked 7 hours ago