Using Jensen’s inequality (and its mathematical generalization), this contribution shows how increased seasonal (periodic) variability of demand for tourism services can increase the annual profit of a tourism enterprise and the producers’ surplus of a corresponding competitive segment of the tourism industry experiencing this increased variability. It identifies conditions which result in these effects being magnified and takes account of the fact that a tourism business’ supply of services is often subject to capacity utilization constraints. A novel feature is that allowance is made for the possibility that variations in the market demand for tourism services may alter the prices of factors of production. Examples of seasonal variability in the prices for tourism services are provided. Furthermore, the importance of this contribution is related to the available scholarly literature about the financial consequences of seasonal variability in the demand for tourism services.