Two_variables_functionality

[Richajaishwal0]

This Python script implements a Simplex method for optimizing a given objective function. It performs the following steps:

1. Setup: Imports necessary libraries and defines helper functions.
2. Input Handling: Takes user inputs for the objective function and the initial vertices of the feasible region.
3. Simplex Method Execution: Iteratively evaluates the function at each vertex, updates the vertex list by removing the vertex with the highest function value, and adds new vertices as needed until convergence.
4. Output: Prints formatted tables of vertices and function values at each iteration, and outputs the final results including the minimum function value found.

The script also handles the case where only two initial vertices are provided by calculating and adding a third vertex to form a triangle.