BEEM103 Optimization Techiniques for Economists
Dieter Balkenborg
Departments of Economics
Lecture Week 1
University of Exeter
"Since the fabric of the universe is most perfect, and is the work of a m
Dieter Balkenborg
BEEM103 Optimization Techiniques for Economists
Departments of Economics
University of Exeter
Homework Week 6
x
Exercise 1 Find the solutions of the form e
x
to the homogenous equati
Dieter Balkenborg
BEEM103 Optimization Techniques for Economists
Departments of Economics
University of Exeter
Homework Week 1 Solutions
Exercise 1 Bring onto common denominator and simplify
2t t2
2t
BEEM103 Optimization Techniques for Economists
Dieter Balkenborg
Departments of Economics
University of Exeter
Homework Week 2 SOLUTIONS
Exercise 1 Calculate the rst and second order partial derivativ
BEEM103 Optimization Techniques for Economists
Dieter Balkenborg
Departments of Economics
University of Exeter
Homework Week 4 Solutions
Exercise 1 Let
be the triangle spanned by the points ( 1; 0), (
BEEM103 Optimization Techniques for Economists
Dieter Balkenborg
Departments of Economics
University of Exeter
Homework Week 3 SOLUTIONS
Exercise 1 Show that the function
Q=K L
with ;
> 0 and
+
< 1 is
BEEM103
UNIVERSITY OF EXETER
BUSINESS School
January 2009
Sample exam Solutions, Part A
OPTIMIZATION TECHNIQUES
FOR ECONOMISTS
Part A
(You can gain no more than 55 marks on this part.)
Problem 1 (10 m
BEEM103
January 2010
OPTIMIZATION TECHNIQUES FOR ECONOMISTS
solutions
Part A
(You can gain no more than 55 marks on this part.)
Problem 1 (10 marks) Simplify
p
1 x2 y 1
8 x3
2 1
p
3 x2 y
p
3
x= x2
and
BEEM103 Optimization Techniques for Economists
Dieter Balkenborg
Departments of Economics
University of Exeter
Class Exercises Week 3 - Solutions
Exercise 1 A monopolist produces two commodities in qu
Dieter Balkenborg
BEEM103 Optimization Techniques for Economists
Departments of Economics
University of Exeter
Class Exercises Week 1 Solutions
Exercise 1 Bring onto common denominator and simplify
1
Dieter Balkenborg
BEEM103 Optimization Techniques for Economists
Departments of Economics
University of Exeter
Class Exercises Week 2 Solutions
Exercise 1 Calculate the partial derivatives of
a) z = 5
BEEM103 Optimization Techniques for Economists
Dieter Balkenborg
Departments of Economics
University of Exeter
Class Exercises Week 6 - Solutions
Exercise 1 Find the solutions of the form e
x
t
2x + x