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Constrained Optimization

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Constrained Optimization

The following was implemented in Maple by Marcus Davidsson (2009)

davidsson_marcus@hotmail.com

 

1) Introduction to Budget Constraints

2) Constrained Maximization Graphically

 

3) Constrained Maximization with Lagrange

 

 

 

 

 

4) Interpretation of the Lagrange Multiplier

 

 

 

 

 

5) Constrained Maximization Through Substitution

 

 

 

 

 

6) Optimality Conditions

 

 

 

 

 

7) Ways to Solve it Directly in Maple

 

 

 

 

 

8) Constrained Minimization with Lagrange

 

 

 

 

 

9) Further Examples