Whether pulsing, other than chattering, can be optimal is an important concern to both advertising practitioners and marketing scientists. In this paper, we explicitly incorporate various types of costs to a one-state advertising model to analyze the effect of these costs on the optimal advertising policy. We prove that the interaction of fixed and pulsing costs does make pulsing optimal under a reasonable condition. This result not only identifies an important factor that leads to the optimality of pulsing, but also generalizes the finding obtained by Sasieni (1971).