Bundle: Economics for Today, Loose-leaf Version, 10th + MindTap Economics, 2 terms (12 months) Printed Access Card
10th Edition
ISBN: 9781337738736
Author: Tucker, Irvin B.
Publisher: Cengage Learning
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Question
Chapter 6.A, Problem 14SQ
To determine
The marginal rate of substitution.
Option 'c' is correct.
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Students have asked these similar questions
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
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[2 marks]
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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
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Chapter 6 Solutions
Bundle: Economics for Today, Loose-leaf Version, 10th + MindTap Economics, 2 terms (12 months) Printed Access Card
Ch. 6.1 - Prob. 1YTECh. 6.1 - Prob. 2YTECh. 6.2 - Prob. 1YTECh. 6.A - Prob. 1SQPCh. 6.A - Prob. 2SQPCh. 6.A - Prob. 3SQPCh. 6.A - Prob. 1SQCh. 6.A - Prob. 2SQCh. 6.A - Prob. 3SQCh. 6.A - Prob. 4SQ
Ch. 6.A - Prob. 5SQCh. 6.A - Prob. 6SQCh. 6.A - Prob. 7SQCh. 6.A - Prob. 8SQCh. 6.A - Prob. 9SQCh. 6.A - Prob. 10SQCh. 6.A - Prob. 11SQCh. 6.A - Prob. 12SQCh. 6.A - Prob. 13SQCh. 6.A - Prob. 14SQCh. 6.A - Prob. 15SQCh. 6 - Prob. 1SQPCh. 6 - Prob. 2SQPCh. 6 - Prob. 3SQPCh. 6 - Prob. 4SQPCh. 6 - Prob. 5SQPCh. 6 - Prob. 6SQPCh. 6 - Prob. 7SQPCh. 6 - Prob. 8SQPCh. 6 - Prob. 9SQPCh. 6 - Prob. 10SQPCh. 6 - Prob. 1SQCh. 6 - Prob. 2SQCh. 6 - Prob. 3SQCh. 6 - Prob. 4SQCh. 6 - Prob. 5SQCh. 6 - Prob. 6SQCh. 6 - Prob. 7SQCh. 6 - Prob. 8SQCh. 6 - Prob. 9SQCh. 6 - Prob. 10SQCh. 6 - Prob. 11SQCh. 6 - Prob. 12SQCh. 6 - Prob. 13SQCh. 6 - Prob. 14SQCh. 6 - Prob. 15SQCh. 6 - Prob. 16SQCh. 6 - Prob. 17SQCh. 6 - Prob. 18SQCh. 6 - Prob. 19SQCh. 6 - Prob. 20SQCh. 6 - Prob. 21SQCh. 6 - Prob. 22SQCh. 6 - Prob. 23SQCh. 6 - Prob. 24SQCh. 6 - Prob. 25SQ
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