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← Logic & PuzzlesIf an optimization engineer uses the Simplex method to maximize the tensile strength of a steel alloy, which result indicates the objective function is unbounded?
A)Objective value reaches negative infinity
B)No feasible solution satisfies constraints✓
C)Objective improves without bound
D)Basis variables all are zero
💡 Explanation
When using the Simplex method, an unbounded objective function is indicated by no feasible solution existing because the constraints do not allow an optimal value. Therefore, infeasibility indicates the function's unrestricted nature, rather than the objective value itself growing indefinitely or basis variables becoming zero.
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