With the relaxed solution in hand, we can decide how to translate those fractions back into reality. We could, for example, choose to simply round them as necessary, sending invitations to everyone who got “half an invitation” or more in the relaxed scenario. We could also interpret these fractions as probabilities—for instance, flipping a coin for every location where the relaxed solution tells us to put half a fire truck, and actually placing a truck there only if it lands heads.
