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Microeconomic Theory

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter9: Production Functions

Section: Chapter Questions

Problem 9.8P

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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.)

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An economist fits the following production function to data from Australia and New Zealand, Y = AK" L1-« She estimate that for Australia, a = = 0.7. She estimates that for New Zealand, a = = 0.2 Based on this information, which of the following statements is most likely to be correct. There is not enough information to comment on the relative capital intensities Production wilI be relatively more capital intensive in New Zealand than in Australia Production will be relatively more capital intensive in Australia than in New Zealand Production will be equally as capital intensive in each country since they both experience constant returns to scale
need help on both please
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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?
3
Consider the production function Y = K1/2 N12 a. Compute output when K = 49 and N = 81 %3D b. If both capital and labor double, what happens to output? c. Is this production function characterized by constant returns to scale? Explain. d. Write this production function as a relation between output per worker and capital per worker. e. Let K/N = 4. What is Y/N? Now double K/N to 8. Does Y/N double as a result? f. Does the relation between output per worker and capital per worker exhibit constant returns to scale? g. Is your answer to f. the same as your answer to c.? Why or why not?
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.
Please no written by hand and no image Suppose that the production function is given by Y=AK0.4N0.6. What is the percentage change in output if both capital and labor rise by 42%? Write the answer in percent terms with up to two decimals (e.g., 10.22 for 10.22%, or 2.33 for 2.33%).
as Figure 11-1 D Real GDP per hour worked, YIL v $40 IC 8 T 1 60 Production function, Production function, Production function, Capital per hour worked, KIL Refer to Figure 11-1. Diminishing marginal returns is illustrated in the per-worker production function in the figure above by a movement from Production function 1 to Production function 2 from Production function 2 to Production function 1. from Production function 1 to Production function 3. up along any of the production functions
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:
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
QUESTION 4 Capital per year K₂ Figure 7.3.2 4₂ L₂ C₁ Labor per year Refer to Figure 7.3.2 above. Which of the following changes, which causes the move from A to B? O a. The quantity to be produced Ob. A decrease in the cost of capital r Oc. The budget of the producer d. A decrease in the wage rate w

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