Question

Why does a linear programming model require an objective function and constraints? Why do we need to do sensitivity analysis in solving linear optimization problem?

Answer 1

The Objective Function is required in a Linear Programming model because the Objective Function forms the function which is to be maximized or minimized. The Objective Function expresses the main aim of the model which is either to be minimized or maximized.The constraints in Linear Programming model constitute conditions of the independent variables expressed in linear form with either equality sign or inequality sign.

Sensitivity analysis, also called what - if or simulation analysis, in solving linear optimization problem is required for finding out the amount by which we can change the input data for the output of the linear programming model to remain comparatively unchanged.