Description: Joint constraints are conditions that apply simultaneously to multiple objectives or variables within an optimization problem. These constraints are fundamental in the formulation of mathematical models, as they define the limits and conditions under which an optimal solution is sought. In the context of optimization, joint constraints can be both linear and nonlinear, and can involve complex relationships between variables. Their significance lies in the need to consider multiple factors that may influence the final outcome, ensuring that the solution is not only optimal in an isolated sense but also meets all necessary conditions to be viable in various contexts. The relevance of joint constraints is manifested in their ability to reflect the complexity of real-world problems, where different objectives and limitations often need to be balanced. Therefore, their correct identification and formulation are crucial for the success of any optimization model, as they directly affect the quality and applicability of the solutions obtained.