In the Simplex tableau, the current solution is optimal when there are no negative reduced costs in the objective row for a maximization problem. This means no non-basic variable can enter the basis to further improve the objective value.

You can determine that the current solution is optimal by checking the objective-function row of the Simplex tableau. For a standard maximization problem, if there are no negative coefficients in the objective row (excluding the RHS), the current solution is optimal because no further pivot can improve the objective value.