Master linear programming using graphical and simplex method

🚀 Master Linear Programming: A Practical Approach with Graphical & Simplex Methods

🎓 About Your Instructor: Hey there, ambitious learners! My name is Madhusudan Sohani, and I am your guide on this exciting journey through the world of Linear Programming (LPP). With over 45+ years of experience as an industry leader in Operations Research, I've had the privilege of teaching students worldwide, and I can't wait to share my knowledge with you. 👨‍🏫✨

Course Overview:

Linear Programming is a mathematical method for obtaining best possible outcomes in a variety of practical situations. In this course, we will delve into the core concepts, methods, and applications that businesses use to maximize profits and minimize costs. We'll explore both the graphical and simplex methods, with a special focus on understanding duality and sensitivity analysis using 2 & 3-variable problems.

📚 Course Structure:

1. Introduction to Linear Programming (LPP):

   • Understanding LPP and its applications.
   • Formulating LPP and solving it graphically.
   • Two problems solved in the first lecture, with four more covered in the second, including a detailed walkthrough of a 3-variable problem using the graphical method!

2. The Simplex Method Unveiled:

   • A step-by-step introduction to the simplex algorithm.
   • Solving problems with two variables and two constraints to grasp the mechanics of the simplex method.
   • Progressing to a three-variable, three-constraint problem for practical understanding.

3. Diving Deeper into Complexity:

   • Handling 3 variables and 3 constraints with multiple solutions.
   • Detecting and understanding multiple solutions.
   • A thorough explanation of degeneracy through repeated problem solving.
   • Exploring the concept of duality in depth.

4. Sensitivity Analysis: The "What If" Scenario:

   • Analyzing how changes in data can affect our solutions.
   • Understanding the importance of sensitivity analysis in real-world applications. 📈 Real-World Applications & Case Studies:
   • Applying LPP and sensitivity analysis to understand the "What If" situations businesses face.

5. Revisiting for Mastery:

   • Solving a simple problem on sensitivity analysis in lecture 6, with a revision of a graphical method problem for good measure.

🚀 Why Enroll?

• Minimal arithmetic calculations make complex problems accessible and fun.
• Real-world examples to connect theory with practical applications.
• Comprehensive explanations using day-to-day scenarios that demystify the concepts of LPP.

🎓 Join the Course & Transform Your Problem-Solving Skills: Don't let Linear Programming intimidate you. With my practical approach and relatable examples, you'll be equipped to tackle both the simplex and graphical methods with confidence. Enroll now and embark on a transformative learning journey that will enhance your analytical skills and open new career opportunities. 🚀

📅 Take the Next Step: Are you ready to master Linear Programming? Click enroll, join this engaging course, and let's solve problems together! I look forward to guiding you through this adventure in Operations Research. See you in class! 🎓💡