Linear Programming: Simplex Method

Since the two-variable approach cannot be easily extended to address problems with more than two variables, a company needs to adopt the simplex method to solve problems with in excess of two variables. This approach can cope with any number of variables and any number of constraining equations. To start to analyses the problem the company first need to change it into a standard form of notation that facilitates the problem being solved. One possible solution is then initially identified from a review of this information and is used for the first phase of the analysis. This initial solution then improves upon through executing a sequence of operations which aim at providing a better estimate of the optimal solution. This sequence may be repeated using ever-improving estimates until either the result has converged to the optimal solution or a solution has been found that is acceptable to the company.