A mathematical approach for evaluation of the efficiency of production strategies is typical under present conditions of firm's management. Exact methods used in management and utilization of personal computers with adequate software become more important in this way. In this paper some methodological approaches, which we can use in the analysis of firm's economics activities orientated for evaluation of efficiency of firm's production strategies and optimization of choice of firm's production strategies, will be described. We shall orientate on two groups of problems: production functions and the analysis of firm's production strategies from the point of view - maximization of profit; the analysis of efficiency of firm's production strategies on the base of using optimization methods.