This work presents some aspects regarding the interpretation of a mathematic model attached to a permanently actual subject: the maximization of profit (in the agro-alimentary economy). We fist present the theoretical part from the economic – mathematical point of view as it appears in the specialized literature, using as model the functions with more variables and the unconditioned extremes. The model will be then geometrically analyzed and we will create the general frame in order to build an algorithm for solving it.