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Mathematics for Economists
Chapter 10
Optimization, several variables
Optimizing a function of 2 variables, necessary conditions
Optimizing a function of 2 variables, sufficient conditions
Optimizing a function of 2 variables, additional results
Multivariable optimization, n variables
Optimization: Problems
Problem: Maximize function of two variables
Problem: Minimize function of two variables
Problem: Maximize profit function
Problem: Second derivative test
Problem: Maximize utility function
Problem: Maximize profit function
Problem: First- and second derivative test
Problem: Classify stationary points
Problem: Find extreme points
Problem: Find maximum and minimum points
Problem: Optimizing function of 2 variables
Problem: open, closed, bounded and compact sets
Constrained optimization
Constrained optimization
Constrained optimization: Problems
Problem: Constrained maximization
Problem: Constrained minimization
Problem: Constrained optimization
Problem: Optimizing utility under budget constraint
Problem: Optimizing utility under constraint
Problem: Optimizing profit under constraint
Problem: Find demand function
Problem: Optimizing utility under budget constraint
Problem: Constrained optimization
Problem: Constrained optimization
Problem: Constrained optimization and Lagrange multiplier
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Chapter 10
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Problem: Second derivative test
Problem
13.1.2:
13.1.1:
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Solution
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