dual program

A dual program is a mathematical tool used to analyze an optimization problem, such as maximizing profits or minimizing costs. It paired with a primary (or primal) problem, provides insights into the original problem’s constraints and solutions. Solving the dual helps verify the optimal solution, identify bounds, or understand the importance of constraints. Essentially, the dual program offers a different perspective that can make solving complex optimization problems more manageable and provides valuable information about the relationships between constraints and objectives.