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,
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
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
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
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
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
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
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 ,