What does an optimization problem typically seek to find?

An optimization problem primarily seeks to determine the minimum or maximum value of a function, which represents the best possible solution under given constraints. In these problems, the goal is to find the optimum outcome, whether that be minimizing costs, maximizing profits, or optimizing resource usage.

To approach an optimization problem, one typically defines a function that models the situation. Then, specific constraints are applied that limit the feasible solutions. The solution process often involves techniques such as calculus, linear programming, or graphical methods to identify the point at which the function reaches its highest or lowest value.

This concept is fundamental in various fields, including economics, engineering, and operations research, as it helps professionals make informed decisions by identifying the most advantageous conditions or strategies.