Answered: For a particular economy, the following… | bartleby

Microeconomic Theory

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter9: Production Functions

Section: Chapter Questions

Problem 9.8P

See similar textbooks

Related questions

Question

do fast i will 5 upvotes. don't use chatgpt answer.

For a particular economy, the following capital input K and labor input N were reported in four different years:
Year
K
N
k
1
500
800
0.625
2
625
800
0.785
3
625
1,000
0.625
4
750
960
0.78125
The production function in this
economy
is:
K0.40 0.60
01060
where Y is total output.
a. In the above table, calculate the capital-labor ratio, k, in each year. (round to two decimal places)
Calculate output per worker in year 1:
(Enter your responses to three decimal places.)

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

1. Country A and B both have the production functionY = F (K, L) = K ½L ½or Y = K0.5 L0.5 a) What is the per-worker production function, y= f (k)? Please make sure to write specificfunctional form of the per-worker production function. b) Assume that neither country experiences population growth nor technological progressand that 4 percent of capital depreciates each year. Assume further that country A saves 24percent of output each year and country B saves 16 percent of output each year. Using youranswer from part a) and the steady-state condition, find the steady-state level of capital perworker for each country. Then find the steady-state levels of income per worker for eachcountry and steady-state level of consumption per worker for each country.
Assume that Economyland’s production function is Y = F (K, L) = K 0.5 L 0.5Where Y is output level, K is the amount of capital input, and L is the amount of laborinput. a) What is the per-worker production function, y= f (k) for Economyland? b) Assume that 10 percent of capital depreciates each year and savings rate is 20 percent,find the steady-state level of capital per worker for Economyland. Then find the steady-state levelof income per worker and steady-state level of consumption per worker. c) Is it possible to save too much? Why?
in 1977. The base period, fine wood company's unit labor requirements were 2 labor_hours per chair. 4 labor_ hours per table, and 3 labor_hours per bookcase. In 1980 , fine wood company's expended 50000 labor_hours to produce 21000 chair's 3000 tables , and 2000 bookcases. Compute the 1980 productivity index
Please no written by hand and graph Consider a small world that consists of two different countries, a developed and a developing country. In both countries, assume that the production function takes the following form: Y = F (K, LE) = K¹/4 (LE) 3/4, where Y is output, K is capital stock, L is total employment and E is labour augmenting technology. (a) Does this production function exhibit constant returns to scale in K and L? Explain. (b) Express the above production function in its intensive form (i.e., output per-effective worker y as a function of capital per effective worker k). (c) Solve for the steady-state value of y as a function of saving rate s, population growth rate n, technological progress g, and capital depreciation rate 6. (d) The developed country has a savings rate of 30% and a population growth rate of 2% per year. Meanwhile, the developing country has a savings rate of 15% and population growth rate of 5% a year. Technology evolves at the rate of 8% and 2% in…
USE R LANGUAGE TO SOLVE THE equation The output of a production process, Q is given by the function2K^(-3)L^(5/2)/2K log4 6L^2where K and L denote capital and Inbour. Calculate the output when the capital and labour are 10 and 20 units, respectively.
Assume that a country's production function is Y = K1/2L1/2 and there is no population growthor technological change.a. What is the per-worker production function y = f (k)?b. Assume that the country possesses 40,000 units of capital and 10,000 units of labor. What isY? What is labor productivity computed from the per-worker production function? Is thisvalue the same as labor productivity computed from the original production function?c. Assume that 10 percent of capital depreciates each year. What gross saving rate isnecessary to make the given capital–labor ratio the steady-state capital–labor ratio? (Hint:In a steady state with no population growth or technological change, the saving ratemultiplied by per-worker output must equal the depreciation rate multiplied by the capital–labor ratio.)d. If the saving rate equals the steady-state level, what is consumption per worker?
Assume that a country's production function is Y = K1/2L1/2 and there is no population growthor technological change.a. What is the per-worker production function y = f (k)?b. Assume that the country possesses 40,000 units of capital and 10,000 units of labor. What isY? What is labor productivity computed from the per-worker production function? Is thisvalue the same as labor productivity computed from the original production function?c. Assume that 10 percent of capital depreciates each year. What gross saving rate isnecessary to make the given capital–labor ratio the steady-state capital–labor ratio? (Hint:In a steady state with no population growth or technological change, the saving ratemultiplied by per-worker output must equal the depreciation rate multiplied by the capital–labor ratio.)d. If the saving rate equals the steady-state level, what is consumption per worker? Only D, other option answered
Economics, physical capital represents the uildings or machines used by a business to produce product. The marginal product of physical capital presents the rate of change of output product with spect to physical capital (informally, if you increase e size of your factory a little, how much more Foduct can you create?). articular model tells us that the output product Y is given, a function of capital K, by Y = AKªL'-a ere A is a constant, L is units of labor (assumed to be stant), and a is a constant between 0 and 1. Determine marginal product of physical capital predicted by this del. ned with CamScanner
Depreciation, investment, and output per worker juts Depreciation, ök Ass Output, (k) Investment, (k) Capital per worker (K) The aggregate production function of capital states that output is determined by:
Economies production function is Y = AK0.3N0.7. If K = 2000, N = 100, and A= 1, then Y = ?
1. Assume the following Cobb-Douglas production function: Y = 0.5K°.2 10 .8 If L=100, a. What is the marginal product of capital?e b. With your answer in (a), can you prove diminishing marginal product of capital?- c. Estimate real capital incomee
1. (This is problem 3, page 238 of the textbook.) For a particular economy, the following capital input K and labor input N were reported in four different years: Year 1 234 4 K 200 250 250 300 N 1000 1000 1250 1200 The production function in this economy is Y=K0.3 Nº.7, where Y is total output. a. Find total output, the capital-labor ratio, and output per worker in each year. Compare year 1 with year 3 and year 2 with year 4. Can this production function be written in per-worker form? If so, write algebraically the per- worker form of the production function. b. Repeat Part (a) but assume now that the production function is Y = Kº.3 Nº.8

SEE MORE QUESTIONS

Recommended textbooks for you

Microeconomic Theory

Microeconomic Theory

Economics

ISBN:

9781337517942

Author:

NICHOLSON

Publisher:

Cengage

Essentials of Economics (MindTap Course List)

Essentials of Economics (MindTap Course List)

Economics

ISBN:

9781337091992

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Brief Principles of Macroeconomics (MindTap Cours…

Brief Principles of Macroeconomics (MindTap Cours…

Economics

ISBN:

9781337091985

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Microeconomic Theory

Microeconomic Theory

Economics

ISBN:

9781337517942

Author:

NICHOLSON

Publisher:

Cengage

Essentials of Economics (MindTap Course List)

Essentials of Economics (MindTap Course List)

Economics

ISBN:

9781337091992

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Brief Principles of Macroeconomics (MindTap Cours…

Brief Principles of Macroeconomics (MindTap Cours…

Economics

ISBN:

9781337091985

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS