In a global economic competition, the countries that provide favorable conditions for efficient investment and innovation are winning. At the same time, the problem of sufficient investment support for enterprises, which, in turn, can be solved by economic and mathematical modeling of the investment management process becomes especially relevant. In this regard, the purpose of our study is to develop an algorithm for making the optimal decision on the feasibility of implementing a particular innovation project based on the calculation of optimization models of investment management. To achieve this goal, the following methods of scientific research were used: economic-mathematical modeling, abstract-logical method, graphical method. According to the results of the research, the decision-making algorithm on the feasibility of implementing a particular innovation project can be used by entrepreneurs-innovators to plan, forecast, control production processes, cash, material, and investment flows at the enterprise, as well as to determine the necessary financial capabilities, efficiency, risk innovative project.