Determine whether the following statements regarding network flow holds true or false. (a) A feasible network flow from the source node to the sink node is larger than or equals the flow cross some cut; (b) A feasible network flow from the source node to the sink node is less than or equals the flow cross some cut; (c) Given a feasible flow. If we can’t find an augmented path from the source node to the sink node in the network, then the current flow is optimal; (d) A feasible flow that equals the flow cross some cut is the maximum flow.

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