A MATHEMATICAL MODEL APPLIED TO AN ECONOMICAL PROCESS

The main research methods used in NPL (new product launch) in this case are: economic statistical methods, optimal control theory and minimum time problem. In this paper we used a mathematical model using optimal control theory minimum time. For this purpose we assume there is provided a time frame within which to achieve the new product launch. We considered a time proposed, but the problem this time mathematics was thus minimizing pair status (good impression, investment in the process), determining the optimal trajectory, is the optimal launch have evolved. NPL problem of economic analysis, revealed a situations in which the optimal control problem is with fixed ends, meaning that we assume from the beginning a good impression fixed and a fixed budget, ie points from which we come and to which are fixed and are not included in the intervals.