Mathematical Formulation of a Linear Programming Problem

Every real-world optimization problem — whether it’s a factory deciding how many units of two products to make, or a farmer choosing how much land to allocate to different crops — can be translated into a precise mathematical language. That translation is what we call the mathematical formulation of a linear programming problem. It involves identifying the decision variables (the quantities we can control), writing the objective function (what we want to maximize or minimize) as a linear expression in those variables, and listing all constraints (the limits on resources, time, or demand) as linear equations or inequalities. Once you …