Bundle: Principles of Economics, Loose-leaf Version, 8th + LMS Integrated MindTap Economics, 2 terms (12 months) Printed Access Card
8th Edition
ISBN: 9781337607735
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 3, Problem 6PA
Subpart (a):
To determine
Calculate opportunity cost .
Subpart (b):
To determine
Calculate opportunity cost.
Subpart (c):
To determine
Specialization in the production.
Subpart (d):
To determine
Trade and the price of the product.
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For the two questions, use the provided Lorenz curve.
Income
100%
Lorenz curve
If the economy's income were distributed according
to the Equality line, what would the Gini coefficient
be?
1
0
0.5
Infinity
80
60
60
60
10
40
If the economy's income were distributed according
to the A line, how much of the economy's income is
earned by the third quintile of families?
60%
40%
20%
100%
20
Equality
0
20%
40
40
A
50
60
80
100
Families
1. For the following utility functions, (i) calculate the MRS, (ii) show whether the MRS is constant, or
diminishing, or increasing, (iii) calculate the degree of homogeneity, (iv) check the convexity of the
Indifference Curve using the condition that for a function to be strict quasi-concave, it must be that
f2f11-2f1f2f12+ ff22 < 0, (v) based on MRS's characteristics, draw an approximate Indifference
Curve, and (vi) comment on the type of utility function.
(a) U(x, y) = 3x + y
(b) U(x, y)=√√x y
(c) U(x, y)=√√x + y
(d) U(x, y)=xy
x+y
Chapter 3 Solutions
Bundle: Principles of Economics, Loose-leaf Version, 8th + LMS Integrated MindTap Economics, 2 terms (12 months) Printed Access Card
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