❖ The Simplex Method and the Dual : A Minimization Example ❖

Master the Simplex Method and Duality: Solving Minimization Problems Made Easy!

In this video, we'll explore how to use the Simplex Method and the concept of duality to solve minimization problems in linear programming. We'll take a function that we want to minimize subject to a set of constraints and show how to convert it into a maximization problem—the "dual problem"—which can then be solved using the Simplex Method. Once we find the solution to this dual problem, we'll use it to solve the original minimization problem. This notion of duality is not only fascinating but also appears in other areas of mathematics, offering insights that can prove useful in fields like geometry!

What You Will Learn:
How to convert a minimization problem into a maximization (dual) problem.
Applying the Simplex Method to solve the dual problem.
Interpreting the solution of the dual problem to solve the original minimization problem.
Understanding the concept of duality in linear programming.
Insights into how duality applies to other areas of mathematics.
📚 Check out my book: 1001 Calculus Problems for Dummies for more practice!

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