constrained optimization problems

Constrained optimization problems involve finding the best solution—such as maximizing profit or minimizing cost—while satisfying certain limitations or conditions. These conditions, called constraints, might include resource limits, rules, or requirements that the solution must meet. The challenge is to identify the optimal point within these restrictions, balancing goals with real-world constraints. This process is common in fields like engineering, economics, and logistics, helping decision-makers find the most effective solution that adheres to all necessary boundaries.