Feasibility regions refer to the set of all possible solutions that satisfy a given system of constraints, often visualized as a geometric shape in mathematical optimization problems. These regions help determine which solutions are viable when maximizing or minimizing an objective function within the context of linear programming or other constrained optimization problems.

Feasibility Regions

Possible Solutions

System of constraints

Geometric shapes are the figures or forms that have a specific boundary or surface, characterized by their dimensions and properties in mathematics. They form the basis for understanding spatial relationships and are used in various fields such as architecture, engineering, and art to create and analyze structures and designs.

Geometric Shape

Mathematical optimization problems

Viable Solutions

Maximizing an objective function

Minimizing an objective function

Linear programming is a mathematical method used for optimizing a linear objective function, subject to linear equality and inequality constraints. It is widely used in various fields to find the best possible outcome in a given mathematical model, such as maximizing profit or minimizing cost.

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