Lecture Session 9 -
Constrained Maxima and Minima by Lagrangian Multiplier method - Problems
Constrained Maxima and Minima by Lagrangian Multiplier method - Problems
15 Minutes: Recall about objective function and Constraint
30 Minutes: Do a simple example step-by-step
05 Minutes: Summary
1. Find the maximum of f(x,y)=x+y subject to x^2+y^2=1.
2. Find the extreme values of f(x,y)=xy subject to x^2+y^2=4.
3. Maximize f(x,y)=x^2+y^2 subject to x+y=6.
4. Find the minimum of f(x,y)=x^2+y^2 subject to x-2y=0.