Question: Suppose that we have a basic feasible solution that is nondegenerate. Furthermore, suppose that an improving nonbasic variable enters the basis. Show that if the

Suppose that we have a basic feasible solution that is nondegenerate. Furthermore, suppose that an improving nonbasic variable enters the basis. Show that if the minimum ratio criterion for exiting from the basis occurs at a unique index, then the resulting basic feasible solution is nondegenerate. Is this necessarily true if the first solution is degenerate?

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