A zero in the allowable increase or decrease columns of the variable cells table in the sensitivity report indicates that

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BlackTom AI · Accepted Answer

We begin by restating the prompt to ensure we’re evaluating the same situation: a zero in the allowable increase or decrease columns of the variable cells table in the sensitivity report.
Option 1: 'the objective function needs new coefficients.' This is not what a zero in the allowable ranges signals. The allowable increase/decrease values describe how far coefficients can move without changing the optimal basis, not that coefficients must be reestimated.
Option 2: 'an alternate optimal solution exists.' This matches the standard interpretation: when a coefficient has an allowable range that includes zero or when the sensitivity information shows degeneracy, there can be more than one optimal solution with the same objective value, i.e., alternate optima.
Option 3: 'the right hand sides should be increased.' The RHS sensitivity ranges address how much the right-hand side constants can vary before the optimal basis changes. A zero in the variable cells’ allowable range does not imply RHS adjustments are needed; it’s a separate concept.
Option 4: 'an error in formulation has been made.' While a misformulation could cause many issues, a zero in these columns is a known, legitimate signal of multiple optimal solutions, not necessarily an error in the model.
In summary, the correct interpretation is that the zero in the allowable increase/decrease columns indicates the possibility of alternate (degenerate) optimal solutions, making Option 2 the correct reading while the others misinterpret the implication or misattribute the cause.

BU.520.601.T2.FA25 Final Exam

A zero in the allowable increase or decrease columns of the variable cells table in the sensitivity report indicates that

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