In this article the mathematical model of the problematic situation of decision making with the group of subjects is examined for the first time. This model is represented in the form of cortege. For the effective and proper selection of strategy of the company management the following tasks were preliminarily solved: to find bases for efficiency of production of Unmanned Aerial Vehicle (UAV) nowadays; to examine forecasts according to the basic indices of market and investment of means for the development UAV to the next decade.