The simplex method moves from one better solution to another until the best one is found, and then it stops.

Name: The simplex method moves from one better solution to another until the best one is found, and then it stops.
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The simplex method is an iterative process that continues to move from one better solution to another until either the optimal solution is found or it is determined that the problem is unbounded or infeasible. Once the optimal solution is found, the algorithm stops.

The Simplex Method Moves from One Better Solution to Another