For a profit maximization problem, if the allowable increase for a coefficient in the objective function is infinite, then profits are unbounded.

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Quizplus · Accepted Answer

An infinite allowable increase for a coefficient in the objective function indicates that the objective function value can continue to increase for an increase in that coefficient's value without changing the optimal solution, but it does not necessarily mean that profits are unbounded. Profits being unbounded would imply that there is no maximum value for the objective function, which is a different scenario.

For a Profit Maximization Problem, If the Allowable Increase for a Coefficient