Linear Programming

A linear programming problem consists  mathematically of a linear objective function to be optimised subject to a set of constraints formulated in the form of linear equations and /or inequalities.Thus the general mathematical model of a linear programming problem can be stated as follows:

_problem_linear.jpg (10039 bytes)

  This model has the following characteristics:

  1. Each of the constraints of the model may have only one of the signs , or =. But the sign can vary from one constraint to another in the same model.
  2. The decision variables are nonnegative.
  3. The objective and all constraints are linear functions.

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