An Applicable Model of Optimal Marketing Policy

This paper presents a marketing model designed to find the revenue-maximizing allocation of a set of interrelated products over space and time, when demand, represented by a relation in which price at time t is a function of quantities in the same period, involves lagged prices. The technique used is the discrete maximum principle and it is proved that the solution derived using this technique is optimal. The method of application is discussed, as well as some computational aspects, and some of the results of the actual application are reviewed.