Description: The feasible region is a fundamental concept in model optimization, referring to the set of all possible points that satisfy the constraints imposed by a mathematical model. In simpler terms, it is the space where all viable solutions for an optimization problem are found. Each point within this region represents a combination of variables that meets the established conditions, such as limits on resources, costs, or capacities. The shape of the feasible region can vary considerably depending on the nature of the constraints; it can be convex or non-convex and may include multiple dimensions if several variables are considered. Identifying the feasible region is crucial as it allows analysts and decision-makers to visualize and understand the limitations of the problem, as well as the possible solutions. In practice, the feasible region is used to determine the optimum of a model, which is the point within this region that maximizes or minimizes an objective function. This concept is widely used in various disciplines, including economics, engineering, logistics, and operations research, where decision-making is based on optimizing limited resources.
