A factory scheduling system uses the simplex method to optimize production. If a non-basic variable's reduced cost is significantly negative, which outcome follows?

💡 Explanation

Increasing a non-basic variable with a negative reduced cost improves the objective function in linear programming because the reduced cost represents the change in the objective function per unit increase in that variable; therefore, increasing it will lead to a better solution, rather than immediately causing degeneracy or unboundedness, which relate to different problem characteristics.

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