Generated from codex

SimplexMethod.cs

using System;

namespace SimplexMethod
{
    class Program
    {
        static void Main(string[] args)
        {
            // Create random data
            Random random = new Random();
            double[,] tableau = new double[,] {
            { 0, 3, 5, 4, 1, 0, 0 },
            { 8, 6, 7, 2, 0, 1, 30 },
            { 4, 5, 9, 3, 0, 0, 25 }
            };

            // Call the Simplex method
            SimplexMethod(tableau);
        }

        static void SimplexMethod(double[,] tableau)
        {
            // Initialize the necessary variables
            int rowCount = tableau.GetLength(0);
            int colCount = tableau.GetLength(1);
            int pivotCol = 0;
            int pivotRow = 0;

            // Find the pivot column
            for (int col = 0; col < colCount - 1; col++)
            {
                if (tableau[0, col] < 0)
                {
                    pivotCol = col;
                    break;
                }
            }

            // Find the pivot row
            double minRatio = double.MaxValue;
            for (int row = 1; row < rowCount; row++)
            {
                if (tableau[row, pivotCol] > 0)
                {
                    double ratio = tableau[row, colCount - 1] / tableau[row, pivotCol];
                    if (ratio < minRatio)
                    {
                        minRatio = ratio;
                        pivotRow = row;
                    }
                }
            }

            // Calculate the new tableau
            double pivotValue = tableau[pivotRow, pivotCol];
            for (int col = 0; col < colCount; col++)
            {
                tableau[pivotRow, col] /= pivotValue;
            }

            for (int row = 0; row < rowCount; row++)
            {
                if (row != pivotRow)
                {
                    double multiplier = tableau[row, pivotCol];
                    for (int col = 0; col < colCount; col++)
                    {
                        tableau[row, col] -= multiplier * tableau[pivotRow, col];
                    }
                }
            }

            // Print the new tableau
            Console.WriteLine("New Tableau: ");
            for (int row = 0; row < rowCount; row++)
            {
                for (int col = 0; col < colCount; col++)
                {
                    Console.Write(tableau[row, col] + " ");
                }
                Console.WriteLine();
            }
        }
    }
}