If activities A and B are mutually exclusive, the constraint xA ≤ xB will enforce this relationship in a linear program.

Question

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Mutually exclusive activities mean that if one activity is chosen, the other cannot be. The constraint xA ≤ xB does not enforce mutual exclusivity; it only restricts the value of xA to be less than or equal to xB, allowing both activities to be chosen simultaneously under certain conditions. A constraint like xA + xB ≤ 1 would enforce mutual exclusivity in a binary decision context.

If Activities a and B Are Mutually Exclusive, the Constraint