Purpose. The purpose of the research is to improve the economic-mathematical model of enterprise profit maximization in the system of sustainable development values. Methodology / approach. The work uses the methods of system analysis, systematization, generalization and specification, the graphic method and the method of comparison (of processes, indicators, etc.), as well as economic-and-mathematical methods of system modeling and expert methods. Results. It was improved the structural scheme (triple-continuum model as a conceptual scheme of information technology) of managing financial and technological processes, innovation risks, which takes into account the impact of innovations on the activity (internal variables, business processes) of the enterprise, restrictions (on production, implementation, supply, finance) and conditions of their compliance with the optimal amount of production (realization), as well as a synergistic effect in the context of profit maximization, in the system “type of innovation – type of development”, in the system of values of sustainable development. This structural scheme is the basis of the proposed economic-mathematical model of enterprise profit maximization in the sustainable development values. A multiplicative criterion of management efficiency is proposed, which includes methods for determining the level of quality of enterprise development and managing enterprise development in the “type of innovation – type of development” system. It was found that the level of quality of enterprise development (in the production management system and taking into account the system of marketing goals) depends on: the level of rhythmicity and defect-free production; level of satisfaction of consumer needs with finished products. Originality / scientific novelty. The economic-mathematical model of enterprise profit maximization in the sustainable development values has been improved, which is based on theoretical and applied principles of management, marketing, takes into account the peculiarities of the system of diagnostic goals of economic diagnostics, tools for monitoring the parameters of the enterprise's activity, their relationship, and also contains separate provisions of the theory constraints, methods of optimization and economic-mathematical modeling, and, unlike the existing ones, in view of the research of operations, allows solving the general economic problem in practice - enterprise profit maximization in the sustainable development values. Practical value / implications. The results of the research can be used in the practical activities of enterprises of all forms of ownership.