OPIM201
OPERATIONS MANAGEMENT

Chapter2:ProcessFundamentals
Atthemostaggregatelevel,aprocesscanbethoughtofasablackboxthatusesresourcesto
transform inputs into outputs. When analyzing the processes, we first define our unit of
analysis. Choosing the flow
Chapter 3: Modications of the Urban Model
(Brueckner textbook)
s
WenTai Hsu
Singapore Management University
For ECON 226 Urban Economics & Policy
For ECON 226 Urban Economics & Policy
s
WenTai Hsu (Singapore Management University) Chapter 3: Modications
Econ 206 Game Theory
Homework 2
(due in Week 4 before the class)
January 16, 2016
1. (Cournot Duopoly Variant) For the Cournot duopoly model discussed in lecture, now we
assume that each rm has its own linear cost function. In particular, rm 1 produces ea
Singapore Management University
Econ 203: International Economics B
Dr. Ruanjai Suwantaradon
Term 2, 20152016
Example 1 of Ricardian GeneralEquilibrium Model
Recall the Ricardian model that we discussed in class in which Country 1 and 2 have identical
p
Section 1: MCQ
Questions 15: c,d,a,b,c Questions 610: b,e,c,c,d
Section 2: Analytical Questions
1. True. As steel is an important intermediate input to many industries. The tariff on steel will
increase costs and reduce profit margins and competitivenes
Urban Economics: Econ 226
Singapore Management University
Instructor: WenTai Hsu
Problem Set 3
Question 1. Suppose there are two routes, e and a, to connect two points
in the city, A and B. Route e is an expressway, and route a consists of local
roads. T
Econ 203: International Economics B
Dr.Ruanjai Suwantaradon
Term 2, 20152016
Homework 2
CFJ refers to: Caves, Frankel and Jones, 10th edition.
1. Consider the twofactor, twogood HeckscherOhlin model. The production function in the
clothing and food se
Econ 203: International Economics B
Dr.Ruanjai Suwantaradon
Term 2, 20152016
Homework 2: Answer Key
CFJ refers to: Caves, Frankel and Jones, 10th edition.
1. To determine the ratio of capital to labor used in each industry, we need to solve the costminim
Econ 203: International Economics B
Dr.Ruanjai Suwantaradon
Term 2, 20152016
Homework 3: Answer Key
CFJ refers to: Caves, Frankel and Jones, 10th edition. KOM refers to: Krugman, Obstfeld and
Melitz, 9th edition.
1. An exogenous increase in the elasticit
Lectures on Urban Economics
Chapter 1: Why Cities Exist
Jan Brueckner
Modified by WenTai Hsu for Econ
226, Urban Economics & Policy, SMU
1
Uneven Landscape
Spatial Population Distribution
Cities occupy 2 percent of land area in the US but
account for a
Econ 203: International Economics B, Term 2, 20152016
RefresherNoteonHeckscherOhlinVectorConcepts:
y
y1=ax1
y1+y2=
C
A
y1
y2=bx2
y2
B
0
x1
x 2
x1+x2 =
x
Givenasystemof4equationsand4unknowns (x1 ,x2, y1, y2), howdowesolveforthe
unknowns?
y1=ax1andy2=bx2
II Multivariable Optimization
with Equality Constraints
[SHS] 14.1 14.7
1
n variables, m equality constraints
Consider the problem
Max
x1 , x2 ,., xn
f ( x1 , x2 ,., xn )
g1 ( x1 , x2 ,., xn ) = c1
x x
g 2 ( 1 , 2 ,., xn ) = c2
s.t.
g m ( x1 , x2 ,., xn
Multivariable Optimization
1
The Optimization Problem  Multivariable
The optimization problems take the form:
max x f (x)
s.t. x S
x is the nvector (also write as (x1, ., xn) choice variables
(consumption bundle, input combination, )
f is the objectiv
Integration
[SHS] 9.1 9.4
1
Integration  definition
The process of reconstructing a function from its derivative is called
integration.
Example If F '( x) = x , what is F(x)?
1 3
1 3
x
x + C for any C
3
3
1 3
( x)
F=
x + C for any C
3
2
The derivative of
Matrix Algebra
[SHS] 15.2 15.5
1
Matrix
A matrix is a rectangular array of numbers.
a11
a21
A=
am1
a12
a22
am 2
a1n
a2 n
amn
A matrix with m rows and n columns is said to have order (m,n) or
dimension (m,n), or we simply call it a (m by n) ma
Name_SID_Section_
Homework assignment 2
Due Date: Thursday, 11th September, 5pm
Please submit your assignment into the box under the instructors name, Yi Zhang, outside the main
office at the 5th floor of School of Economics, before the due date. (Please
Functions of One Variable
[SHS] Chapter 4
1
Intervals
A set is a collection of objects. Each object in the set is called
an element of the set.
An interval is a set of (real) numbers between, and possibly including,
two numbers.
The interval from a to b
THE SUNDAY TIMES CLASSIFIED
Personal FINANCE
T O L L
THE
LAST WORD
Dr Larry Haverkamp
lhaverkamp@smu.edu.sg
IT was only six years ago (in 2008 to
2009) that fast action by governments
pulled the world from the jaws of
another Great Depression. Here is an
d Ink2Gno Edit Pages Annotation Screen Capture Window Help "a? 1 E 49% [Du Mon 2:38 pm Q 55
* [V’V TV Ivﬂv k .3v/
"I Q if? I a n o It ages notation creen apture In ow ep r q: 39%  on: pm 55
ilk26 Ed' P An ‘ S C W'd HI A “1 5 [EM 307 Q
1"}
3% ‘ Inszo '
Econ 203: International Economics B
Dr.Ruanjai Suwantaradon
Term 2, 20152016
Homework 3
CFJ refers to: Caves, Frankel and Jones, 10th edition. KOM refers to: Krugman, Obstfeld and
Melitz, 9th edition.
1. Recall the HelpmanKrugman model as discussed in c