Lecture Session 7 - 

Session Plan :

15 Minutes: Introduction with Simple Explanation and Idea

30 Minutes: Steps of the Method With Simple Example

05 Minutes: Summary

Lecture Material : (PDF, PPT)

Learning Material (IV Quadrant Approach)

(Q1) : Text and Image based Content (PDF/Image Formats)

(Q2) : Video Based Content (Youtube)

(Q3) : Formative Assessment (Google Form/Any Other Online Quiz Platform)

1. State the steps of Lagrange’s Multiplier Method for constrained extrema.

2. Using Lagrange’s method, find the maximum and minimum of f(x,y) = xy subject to x^2 + y^2 = 1.

3. Can a saddle point occur in constrained optimization? Explain.

4. Solve f(x, y) = x^2 + y^2 subject to x + y = 4 using Lagrange multipliers.

5. Give an example where the Lagrange multiplier method yields multiple extrema for the same constraint.