2004constrainedoptanswers-1
University of Sydney
Department of Economics Mathematical Methods of Economic Analysis
CONSTRAINED OPTIMISATION ANSWERS: I
Q1. (An unconstrained optimisation problem) Consider a perfectly competitive firm facing
output price p,
2004constrainedoptanswers-2
University of Sydney
Department of Economics Mathematical Methods of Economic Analysis
CONSTRAINED OPTIMISATION ANSWERS: II
Q1. Consider the following utility maximisation problem:
Maximise subject to and Assume that p1 , p2 ,
2004implicitfunctionsanswers
University of Sydney
Department of Economics
Mathematical Methods of Economic Analysis
Implicit Functions Answers
PART I
The answers are in the back of the Simon and Blume book.
PART II
Q1. Let the supply price (i.e., the pric
2004derivativesanswers
University of Sydney
Department of Economics Mathematical Methods of Economic Analysis DERIVATIVES ANSWERS
PART I The answers are in the back of Simon and Blume. One answer that may require elaboration is the answer to 14.22. This i
2004multivariablefunctionsanswers
University of Sydney
Department of Economics Mathematical Methods of Economic Analysis Multivariable Functions Answers
PART I All answers are in the back of the book of Simon and Blume. PART II
Q1. Let f : R R, where
f (x
2004limitssetsanswers
University of Sydney
Department of Economics
Mathematical Methods of Economic Analysis
LIMITS AND SETS ANSWERS
PART I
12.3 You are rst asked to prove that for arbitrary x, y R:
|x + y | |x| + |y | .
(1)
I will give two proofs.
Proof
2004vectorsanswers
University of Sydney
Department of Economics Mathematical Methods of Economic Analysis
VECTOR ANSWERS PART I The answers are in the back of the book for most questions. What follows consists of a mixture of an elaboration of some of tho
2004mathprelimsanswers
University of Sydney
Department of Economics Mathematical Methods of Economic Analysis
Mathematical Preliminaries Answers
General Note 1. In assignment answers, I often wish to make points that time does not permit me to make in lec