Econ 600 Fall 2006
3 hours, open book (notes, but no texts).
Solutions
1) Consider each of the following, and provide an example (the example may be
graphical or algebraic), or cite a theorem or provide a proof as to why no such example
can be found.
i) A
Economics 600 August, 2004
Final Exam
Patricia Tovar
Please answer all five questions.
Include all relevant work in your answers.
1. (10 points). Let f (x,a ) be a C 1 function of x n and the scalar a. Consider the
unconstrained problem of maximizing f (x
University of Maryland
College Park, Maryland
Economics 600
August 2007
Dynamic Part: Exam
You have 90 minutes to solve this exam. Any written or printed
material is allowed. No electronic media are permitted.
The total number of points on the exam is 50.
THE UNIVERSITY OF MARYLAND
COLLEGE PARK
MD
Daniel R. Vincent
Office: 4128b
Phone: 301 405 3485
ECONOMICS 600
August, 2003
Mathematical Economics: Final Examination
In these problems, you may have to make additional assumptions to get an interesting answer
THE UNIVERSITY OF MARYLAND
COLLEGE PARK
MD
Daniel R. Vincent
Office: 4128b
Phone: 301 405 3485
ECONOMICS 600
November 19, 2002
Mathematical Economics: Midterm Examination
In these problems, you may have to make additional assumptions to get an interesting
THE UNIVERSITY OF MARYLAND
COLLEGE PARK
MD
Daniel R. Vincent
Office: 4128b
Phone: 301 405 3485
ECONOMICS 600
October 19, 2000
Mathematical Economics: Midterm Examination
Consumer preferences over consumption of Beer and Water can be represented by the uti
Final Exam Questions
Econ 600, Summer 2011
Leland Crane and Jonathan Kreamer
Read the entire exam before starting. Show your work and clearly mark your nal answer for each
question. Good luck!
1. (10 points)
Let
f : R R and g : R R.
(a) If
f
and
g
are con
Final Exam
Econ 600, Summer 2011
Leland Crane
Read the entire exam (front and back) before starting. Show your work and clearly mark your nal
answer for each question. Good luck!
1. (70 points) A consumer lives forever in discrete time. They choose consum
Final Exam Solutions
Econ 600, Summer 2011
Leland Crane and Jonathan Kreamer
1. (10 points)
f
(a) If
and
g
are concave, is
Proof:
Yes.
have
f : R R and g : R R.
Let
h
f (x) f (x1 ) + (1 )f (x2 ),
min (),
By the denition of
h : R R be dened as h(x) = min (
Final Exam Solutions
Econ 600, Summer 2011
Leland Crane
A consumer lives forever in discrete time. They choose consumption ct , assets at+! ,
and labor supply lt . The interest rate is constant, but wages may uctuate deterministically over time.
The consu
Math Camp 2010
Midterm
Instructors: Sushant Acharya and Je Borowitz QUESTIONS
Friday, August 6, 2010
1. (30 points)
(a) (15 Points) Provide an example where maximizing a quasi-concave function over a convex constraint
set yields an innite number of soluti
THE UNIVERSITY OF MARYLAND
COLLEGE PARK
MD
Daniel R. Vincent
Office: 4128b
Phone: 301 405 3485
ECONOMICS 600
September 18, 2001
Mathematical Economics: Mid Midterm Test
No books or notes are allowed. If necessary to derive an answer you make additional
as
Questions 1 and 2 can be found in the text of the solution.
3. (25 points) A household is composed of two individuals: m and f. The household
derives utility from consumption (c) and from leisure (l). Moreover, since the two
members of the household enjoy
THE UNIVERSITY OF MARYLAND
COLLEGE PARK, MARYLAND
Eugnio Pinto
ECON600 Summer 2005
Final Exam
(2h30m; 100 points)
Question 1 (25 points)
(i) Show that a function f : Rn R is convex if and only if for each x1 , x2 Rn , the
function : [0, 1] R dened by
()