Simplex Method || Language Based Questions (Word Problems) || NEB Grade XII Board Exam Mathematics




The simplex method is a mathematical algorithm used to solve linear programming problems. It was developed by George Dantzig in the late 1940s and has since become a widely used method for optimization problems in business, engineering, and other fields.

The simplex method involves transforming the linear programming problem into an equivalent problem in standard form, where the objective function is to be maximized (or minimized) subject to linear constraints. The standard form problem can then be represented in the form of a matrix, known as the simplex tableau.

The algorithm then proceeds by iteratively selecting a non-basic variable, calculating the corresponding basic variable values and then checking if the solution is optimal. If the solution is not optimal, the algorithm identifies a pivot element and uses row operations to update the simplex tableau, which improves the solution. This process is repeated until an optimal solution is reached.



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