Suppose the allowable increase and decrease for an objective coefficient of a decision variable that has a current value of $50 are $25 (increase)and $10 (decrease).If the coefficient were to change from $50 to $60,the optimal value of the objective function would not change.

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Quizplus · Accepted Answer

The allowable increase is $25, meaning the coefficient can increase up to $75 ($50 + $25) without changing the optimal solution. Since the change to $60 is within this range, the optimal value of the objective function would remain unchanged, contradicting the statement.

Suppose the Allowable Increase and Decrease for an Objective Coefficient