Linear Programming Problem

A mathematical optimization technique that deals

A mathematical optimization technique that deals with maximizing or minimizing a linear objective function subject to linear constraints. It consists

Variables (usually x

Variables (usually x, y) that represent the quantities to be determined in the problem. They are non-negative, continuous, and controllable variables

A linear function Z = ax

A linear function Z = ax + by that needs to be optimized (maximized for profit or minimized for cost). The coefficients 'a' and 'b' represent the cont

Linear inequalities or equations that represent

Linear inequalities or equations that represent limitations on resources or requirements. Include structural constraints (resource limitations) and no

The common region on the graph

The common region on the graph that satisfies all constraints including non-negativity conditions. Every point in this region represents a feasible so