PRINCIPLES OF MICROECONOMICS (OER)
2nd Edition
ISBN: 9781947172340
Author: Timothy Taylor, Steven A. Greenlaw
Publisher: OpenStax
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Textbook Question
Chapter 14, Problem 25RQ
What is a bilateral
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Consider an economy that exhibits both population growth (L grows at rate n) and
technological progress (A grows at rate a) described by the production function,
Y = F(K, AL) = Ka (AL)¹-α
Here K is capital and Y is output.
(a) Show that this production function exhibits constant returns to scale. [2 marks]
(b) What is the per-effective-worker production function, y = f(k), (where y = Y/AL
k K/AL)? (Show your working.)
[2 marks]
(c) Find expressions for the steady-state capital-output ratio, capital stock per
effective worker, and output per effective worker, as a function of the saving rate
(s), the depreciation rate (8), the population growth rate (n), the rate of
technological progress (a), and the coefficient a. (You may assume the condition
that capital per effective worker evolves according to Ak = sf (k) - (a+n+8)k.)
[5 marks]
(d) Show that at the Golden Rule steady state the saving rate for this economy is
equal to the parameter a.
[6 marks]
A firm faces the following production function,
Y = AKα L¹-a
(1)
Here Y is output, K is capital, L is fixed labour, and A is a measure of technology.
The firm uses an optimal amount of capital determined by the condition,
MPK = r +8
(2)
Where MPK is the marginal productivity of capital, r is the real interest rate, and ♪ is
the depreciation rate.
(a) Using equations (1) and (2) find an expression for K*, the optimal amount of
capital the firm should use.
[3 marks]
(b) Referring to your result from part (a), comment on what happens to K* when
each of the following variables change (holding other variables constant),
(i)
The measure of technology (A) falls
(ii)
The depreciation rate (8) increases
(iii)
The real interest rate (r) increases
[2 marks]
[2 marks]
[2 marks]
[Hint: For each of parts (i)-(iii) you are being asked to comment on what happens to
K* if just the variable mentioned in the question part changes. Your answer should
state whether K* increases, decreases, or stays the…
In the week-4 materials, when deriving labour supply, we assumed that the
substitution effect dominated the income effect. What impact would there be on
labour supply if this was not the case? Briefly investigate how such a change could
theoretically affect the imposition of a minimum wage above the market clearing
wage. (Your answer is likely to benefit from diagrammatic support.)
Chapter 14 Solutions
PRINCIPLES OF MICROECONOMICS (OER)
Ch. 14 - Table 14.10 shows levels of employment (Labor),...Ch. 14 - Table 14.11 shows levels of employment (Labor),...Ch. 14 - Table 14.12 shows the quantity demanded and...Ch. 14 - Do unions typically oppose new technology out of a...Ch. 14 - Compared with the share of workers in most other...Ch. 14 - Are firms with a high percentage of union...Ch. 14 - D0 countries with a higher percentage of unionized...Ch. 14 - Table 14.13 shows information from the supply...Ch. 14 - Explain i11each of the following situations how...Ch. 14 - Does the earnings gap between the average wages of...
Ch. 14 - If immigration is reduced, what is the impact on...Ch. 14 - What determines the demand for labor for a firm...Ch. 14 - What determines the demand for labor for a firm...Ch. 14 - What is a perfectly competitive labor market?Ch. 14 - What is a labor union?Ch. 14 - Why do employers have a natural advantage in...Ch. 14 - What are some of the most important laws that...Ch. 14 - How does the presence of a labor union change...Ch. 14 - What is the long-term trend in American union...Ch. 14 - Would you expect the presence of labor unions to...Ch. 14 - What are the main causes for the recent [tends in...Ch. 14 - What is a monopsony?Ch. 14 - What is the marginal cost of labor?Ch. 14 - How does monopsony affect the equilibrium wage and...Ch. 14 - What is a bilateral monopoly?Ch. 14 - How does a bilateral monopoly affect the...Ch. 14 - Describe how the earnings gap between men and...Ch. 14 - Describe how the earnings gap between blacks and...Ch. 14 - Does a gap between the average earnings of men and...Ch. 14 - Will a free market tend to encourage or discourage...Ch. 14 - What policies, when used together with...Ch. 14 - Describe how affirmative action is applied in the...Ch. 14 - What factors can explain the relatively small...Ch. 14 - Have levels of immigration to the United States...Ch. 14 - How would you expect immigration by primarily...Ch. 14 - What is the marginal cost of labor for a firm that...Ch. 14 - Given the decline in union membership over the...Ch. 14 - Are unions and technological improvements...Ch. 14 - Will union membership continue to decline? Why or...Ch. 14 - If it is not profitable to discriminate, why does...Ch. 14 - If a company has discriminated against minorities...Ch. 14 - If the United States allows a greater quantity of...Ch. 14 - If all countries eliminated all barriers to...
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