This paper presents e. simple outline of analysis of a typical system of technical education. A desirable model is illustrated with mathematical modelling of the related subsystems in a simple form. The problem of optimal admission and allocation of students into different branches of study is discussed with respect to a performance index based on employment. Such an optimal allocation of students Leads to useful guidelines for the case of resource allocation in the educational system. The aspect of individual human behaviour and its influence on the main results is not discussed in detail, only to emphasize the meaningfulness of the approach at least in admissible situations.