The Max Flow Problem is a classic optimization challenge in network theory. It involves finding the maximum flow of a commodity through a flow network, which consists of nodes and directed edges with specific capacities. The goal is to determine the greatest amount of flow that can be sent from a designated source node to a target sink node without exceeding the capacities of the edges. To solve the Max Flow Problem, algorithms like the Ford-Fulkerson method or the Edmonds-Karp algorithm are commonly used. These methods iteratively find augmenting paths in the network and adjust the flow until no more paths can be found. This problem has applications in various fields, including transportation, telecommunications, and supply chain management.