Macroeconomics
10th Edition
ISBN: 9781319105990
Author: Mankiw, N. Gregory.
Publisher: Worth Publishers,
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Question
Chapter 3, Problem 4QR
To determine
Cobb‑Douglas production function.
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Which of the following do economists consider to be capital?
Multiple Choice
a pair of stockings
a construction crane
a savings account
a share of IBM stock
The term capital, as used by economists, refers to
a
money
b
the physical space in which production occurs
c
the time allocated to producing goods and services
d
financial securities such as stocks and bonds
e
machinery and equipment that is not used up during the production process
Write the production function in its simplest form (human capital being included in TFP) and explain the nature of each factor as well the theoretical value of the parameter Alpha. In other words what does the value of Alpha represent regarding the returns of each factors of production?
Chapter 3 Solutions
Macroeconomics
Ch. 3 - Prob. 1QQCh. 3 - Prob. 2QQCh. 3 - Prob. 3QQCh. 3 - Prob. 4QQCh. 3 - Prob. 5QQCh. 3 - Prob. 6QQCh. 3 - Prob. 1QRCh. 3 - Prob. 2QRCh. 3 - Prob. 3QRCh. 3 - Prob. 4QR
Ch. 3 - Prob. 5QRCh. 3 - Prob. 6QRCh. 3 - Prob. 7QRCh. 3 - Prob. 8QRCh. 3 - Prob. 1PACh. 3 - Prob. 2PACh. 3 - Prob. 3PACh. 3 - Prob. 4PACh. 3 - Prob. 5PACh. 3 - Prob. 6PACh. 3 - Prob. 7PACh. 3 - Prob. 8PACh. 3 - Prob. 9PACh. 3 - Prob. 10PACh. 3 - Prob. 11PACh. 3 - Prob. 12PACh. 3 - Prob. 13PACh. 3 - Prob. 14PA
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- Explain why the AVC curve is "U shaped"?arrow_forwardConsider the effects of taxes imposed on both labor and capital income. The production function takes the standard Cobb-Douglas form: Y = K“ (AN)¯ª The tax rate equals 7, saving rate equals s, the rate of technological progress = g, capital depreciation rate = d, and population growth rate = n. The government spends tax revenues on consumption goods, so that government savings are equal to 0. a) Write down the production function in the intensive form. Use the dynamic equation for capital per units of effective labor to compute the value of consumption per units of effective labor in the steady state. b) Compute the golden rule saving rate in the Solow growth model extended to include taxes. Use the Basic Solow growth graph with the saving and production functions drawn against k, to illustrate the consequences of a rise in the tax rate t. What is the rate of growth of per capita income in the steady state? Does it depend on the tax rate? c)arrow_forward0.5 0.5 Given a production function: Y = AK N If output grows at 5%, capital grows at 2% and the number of workers grows at 4%, then technology (or total factor productivity) grows at % ? (Answer in integer only, no decimal place.) Your Answer: Answer Given a production function: Y = AK0.5 N0.5. If output grows at 5%, capital grows at 2% and the number of workers grows at 4%, then technology (or total factor productivity) grows at %? (Answer in integer only, no decimal place.) Your Answer: Answerarrow_forward
- Consider a hypothetical economy that has the production function Y = F(K, LE) = K¹/3 (LE) 2/3, where Y is output, K is capital, and LE is the number of effective workers. Suppose the saving rate is 20%, the capital depreciates by 3%, the population grows at the rate of 1%, and the rate of labor-augmenting technological change is 1%. a. Solve for the per-effective-worker production function. b. At what rate (%) do the following grow in the steady state? i. Total output ii. Output per worker iii. Output per effective worker iv. Real rental price V. Real wagearrow_forwardThe following graph shows a variety of possible production functions (PFs) in an imaginary economy, assuming constant levels of human capital and capital stock. Because human capital and capital stock remain unchanged, each of these production functions represents a different level of the technology. The slope of the line connecting the origin to point A is _______ (options: steeper, flatter) than the slope of the line connecting the origin to point B, because the slope of such a line is equivalent to __________ (options: the marginal physcial product of labor, marginal cost, productivity).arrow_forwardGive only typing answer with explanation and conclusion The production function in an economy is given by Y = K0.4L0.6, where Y is output level, K is capital input, and L is labour input. The saving rate is 24%, the annual population growth rate is 4%, and annual depreciation rate is 2%.arrow_forward
- Consider three inputs of production: labour, physical capital and natural resources, and an economy with decreasing returns to scale. If you increase all three inputs x times then the total gross domestic product (GDP) in the economy will increase exactly x times, but GDP per capita will decreasearrow_forwardProblem 1A According to the new classical investment model we have: P MPK =* (r + 8) (1) Derive the above cquation and explain it briefly. Suppose that a firm has a production function of Y = AKOSL 05 i. ii. where Y is output, A is productivity (or technology), K is capital and L is labour. When A = 2, K = 100 and L = 400. Obtain the marginal product of сapital (MPK). Consider a production function that Y = AK²L², where A = 0.1, L = 1, Px =1, P= 1,r=0.1, and 8=0.1. What is the optimal level of capital, K*, in the steady state? Problem 1B Total Investment equation is given by: I = AK + 6K = 4 [MPK –4(+ + 8)] + &K, (2) P Next, draw a downward-sloping investment function where the vertical axis is labeled with r and the horizontal axis is labeled with investment, I. Call it Figure 1. Assume that the rate of interest rate is ri and investment is I1. What will happen to the investment if interest rate decreases? Explain it using Figure 1. What will happen to the investment if technology…arrow_forwardWhich of the following is an example of capital as a factor of production? Group of answer choices Stocks Bonds money Equipment used by businessesarrow_forward
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