HOMEWORK ASSIGNMENT # 3
Q1.
The price of gasoline has declined since April. Using the standard supply and
demand graphs, explain whether each of the following changes can explain such a
decline in price.
a.
b.
c.
d.
e.
The improving labor market has incre
Econ 205 Midterm, Fall 2016
[7 points] 1. Dierentiation
[3] (1) for any x 6= 0, limh!0
1
h
(g (x0 + h)
1
[4] (2) let p (x) = x n and q (x) = x
tively, let p (x) = x
1.
1
1
and q (x) = x n . then,
g (x0 ) = limh!0
then,
d
dx
x
d
dx
1
1
1
xn
1
n
=
1
n
1
h
1
Econ 205 Final, Fall 2016
[8 points] 1. Convergence
[2] (1) since jyj jyn j < jyn
[2] (2) since
1
yn
<
2
y
yj <
for all n
1
2
jyj for all n
K1 , we have
K1 , we have
1
yn
1
y
=
1
y
y
2
1
yn
< jyn j for all n
jyn
yj <
2
y2
jyn
K1 .
yj for all n
K1 .
2
[2]
Econ 205 Problem Set 6
1.
(1) limh!0
R1 (h)
h
= limh!0
f (x+h) f (x)
h
f 0 (x) = 0 since f is a C 1 function.
(2) From Theorem (30.5), we know that R1 (h) = 12 f 00 (c) h2 where c 2 (min fx; x + hg ; max fx; x + hg).
1 00
2
2 f (x) h
Since R2 (h) = R1 (h)
Econ 205 Problem Set 4
1.
(1) Suppose that f 0 (x) < 0 for some x and f 0 (x) > 0 for some other x. Since f is a C 1 function
(f 0 (x) is continuous on I), there exists a point x0 2 I with f 0 (x0 ) = 0. This violates the assumption that
f 0 (x) 6= 0 for
Econ 205 Problem Set 9
1.
@
(1) (i) @x
L = 2x 2 + 1 = 0
@
(ii) @y L = 2y
+ 2=0
@
(iii) @ L = 2 2x y 0,
0, and (2
@
(iv) @ 1 L = x 0, 1 0, and 1 x = 0
(v) @ 2 L = y 0, 2 0, and 2 y = 0
(2) First
If x
If y
If x
2x
y) = 0
of all, (x ; y ; ; 1 ; 2 ) = (0; 0;
Econ 205 Problem Set 7
1.
(1) From (4; 2) = p1 v1 + p2 v2 = (2p1 + p2 ; p2 ), we have p1 = 1, p2 = 2.
(2) Since (x; y) = q1 v1 + q2 v2 = (2q1 + q2 ; q2 ), let q1 =
1
2
(x
y), q2 = y.
(3) From (2) we know that every point in R2 can be expressed by a linear
Econ 205 Problem Set 8
1.
(1) L (x; y; z;
1;
2)
= yz + xz +
@
2z = 0
@x L = z
@
(ii) @y L = z 2 1 y = 0
@
L = x + y 2 1z
(iii) @z
@
(iv) @ L = 1 y 2 z 2 =
1
(v) @ L = 3 xz = 0
2
1
1
y2
z2 +
2 (3
xz).
(2) (i)
(3) z 6= 0 due to (v). So,
2
2x
=0
0
= 1 by (i)
Econ 205 Problem Set 3
1.
(1) This proof consists of 3 steps.
In1 for any n. Therefore, [2; 6]
(a) [2; 6]
1
n
(b) For any xed x < 2, we have x < 2
1
\1
n=1 In .
1
for su ciently large n. Therefore, x 2
= \1
n=1 In .
(For example, if K is the smallest inte
Inductive Reasoning
Free Sample Test 1
Solutions Booklet
Difficulty Rating: Difficult
Instructions
This inductive reasoning test comprises 22 questions. You will have 25 minutes in which to
correctly answer as many as you can.
In each question you will be
FUJI FILM
201203323
201203326
201305223
2013 raj
01
About Fujifilm
Introduction
: :
Company Profile

Business Type : Manufacturing
Nationality : Japan
Founded in 01/20/1934
Company type : an Incorporatedcomp
Fujifilm Group and Corporate sloga
Histo
Lecture 2
Process Flow Management
Professor Kihoon Kim
Process Flow Management
Slide 1
Outline
Changing Sources of Competitive Advantage
Process Analysis
Operational Measures: Time T, Inventory I, Throughput rate R
Link through Littles Law
Link to Financ
Answers to
Exercises
Microeconomic
Analysis
Third Edition
Hal R. Varian
University of California at Berkeley
W. W. Norton & Company New York London
Copyright c 1992, 1984, 1978 by W. W. Norton & Company, Inc.
All rights reserved
Printed in the United Stat
Lecture 19
Business Cycle Theory
and
Keynesian Revolution
BusinessCycle Theories
Businesscycle fluctuations in output, employment, and
prices are often caused by shifts in aggregate demand.
These occurs as consumers, business, or governments
change tota
Lecture 18
The Effect of Fiscal Policy
on
Aggregate Output
The Fiscal Policy
Fiscal policy consists of government expenditure and taxation.
Government Expenditure
Taxation
Influences the relative size
of collective spending
and private consumption
Income
Lecture 1
Economic Models:
Production Possibility Frontier
Comparative Advantage
Gains From Trade
Economic Problem
Scarcity in Factors of Production
(Land, Capital, Labor)
We must choose among different potential bundles of goods
For optimal choice
we mus
Lecture 2
Supply and Demand:
Analysis of Consumption and
Production Behavior
Firms and Households
Firms
The producing units in an economy
Produce goods and services
Households
The consumption units in an economy
Decisions are based on individual tastes
an
Lecture 3
The Price Elasticity
of
Demand
Elasticity and Its Application
Consider the following questions:
When a financially troubled airline lowers
its ticket price, will ticket sales increase so
much that total revenue actually rises?
How effective a bi
Lecture 4
Consumers, Producers
and
The Efficiency of Markets
Utility Theory
Utility is a scientific construction that economist use to understand
how rational consumers devise their limited resources among
the commodities that provide them with satisfacti
Lecture 5
Externalities
Public Goods
Common Resources
and
Protecting the Environment
Externalities and
Market Inefficiency
An externality refers to the uncompensated impact of
one persons actions on the wellbeing of a bystander.
Externalities cause marke
Lecture 6
The Behavior of Firms
in Perfect Competition
The Behavior of Firms
in Perfect Competition
Perfect Competition
An industry structure in which there are many firms
Producing homogenous products
New competitors can freely enter and exit the market
Lecture 7
Imperfect Competition
and
Monopoly
Types of Market Structures
Structure
Perfect Competition
Number of producers
and degree of product
differentiation
Many producers
Identical products
Firms degree
of control
over price
None
Imperfect Competition
Lecture 8
Imperfect Competition:
A GameTheoretic
Approach
Imperfect Competition
and Game Theory
P
MC
AC
.
.
G
price
0
E
When oligopolists can collude
to maximize their joint profits,
they will produce the monopoly
output and price and
earn the monopoly p
Lecture 9
Production
and
Economic Growth
Production and Growth
Gross Domestic Product
GDP is the total value of all final goods and services produced
in an economy during a given period
Total value of all final goods
and services produced
in an economy
Th