This paper reports the construction and analysis of the economic and mathematical model of the duopoly of supply chains, based on the model of optimization of plans for the release and delivery of multi-range articles, taking into consideration the marketing and innovative activities of industrial enterprises. Demand for goods is supposed to be an increasing function of advertising costs. In this case, marketing investments affect only the base selling prices of articles and do not affect competitive discounts. The explicit form of this dependence can be established as a result of marketing research. It is also assumed that investments in innovative technological projects could reduce industrial costs; production costs are decreasing functions of the size of the investment. It is believed that the demand function is linearly dependent on the total volume of output produced. The criterion of optimality for supply chains is the maximum of the total profit received from the sale and delivery of finished products to points of consumption, taking into consideration the costs of production and advertising. As a result of this study, equilibrium solutions of the duopoly according to Cournot and Stackelberg were found. That has made it possible to determine the optimal values of product volumes for output, the size of investment investments, as well as product advertising costs. The model helped study the impact of investment deductions and advertising costs on the acquisition of competitive advantages by manufacturing enterprises. A numerical illustration of the results obtained is given. The proposed approach could be used to build and analyze dynamic optimization models taking into consideration the innovation and marketing activities of enterprises, as well as to study other market structures

Introduction. An effective national innovation system is a key mechanism for modernizing the economy and forming a qualitatively new competitive economy based on innovation. One of the factors that can increase competitiveness is the active use of innovative technologies that will lead to the formation of scientific and technical, production, financial, social activities in a new institutional environment. Purpose. The article evaluates the dependence of competitiveness on the type of innovation, and proposes a scheme for evaluating the effectiveness of management innovations of the port industry. Method (methodology). The following methods were used to achieve this goal: logical generalization, analysis, grouping. Results. Competition has shifted to innovation in recent decades. The processes of economic transformation affect the competitive behavior of port enterprises, forcing them to become responsive to market signals, proactive and flexible because when the rate of change occurring outside the company exceeds the rate of change occurring inside it, then such situation leads to industrial death. In the modern concept of innovative development of port enterprises, technology, the scale of investment in research is a central endogenous component. The emphasis of key resources in development is transferred from the production space to the availability of mobile finance and human intelligence, a new type of enterprise arise. Conclusions. The port industry will face a new quality competition – digital competition, when companies will compete not only in price and service, but also in the level of digitalization. Namely: how user-friendly interfaces, user offices, whether B2B data synchronization is available, whether it is possible to track cargo, passengers, collect and process data online. All this will give businesses access to qualitatively new solutions. Digitalization and competition are interconnected things that affect the innovative development of the port industry today and will be leading in the near future.

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Topically. In the context of the globalization of the global economy, competition between countries, enterprises and their associations is becoming increasingly fierce. In this regard, the issue of competitiveness becomes particularly relevant. The country's economy operates in conditions of unlimited competition, so national enterprises must constantly adapt to these conditions. Modern ports are the hubs of any economy. In the face of fierce international competition, improving their competitiveness is a strategic task. The competitiveness of an enterprise is its potential, capabilities, and flexibility in adapting to market relations. Aim and tasks. The main purpose of the article is to study the theoretical provisions of competitiveness and develop methodological recommendations for improving the efficiency of competitiveness management at enterprises, in particular the port industry. Research results. This article considers the concept of "competitiveness", as the ability to carry out their activities in the conditions of market relations and at the same time receive a profit sufficient for scientific and technical improvement of production, stimulating employees and maintaining products at a high level of quality. Various types, functions, classifications, security levels and methods for assessing the competitiveness of an enterprise are presented. Factors influencing not only the competition of enterprises in general, but also the port industry at the macro and micro levels were considered. Conclusion. The article identifies ways to increase the competitiveness of the enterprise: improving the quality of products, reducing prices for services and goods, introducing innovations and new technologies, searching for new opportunities. Special attention is paid to improving the competitiveness of Port industry enterprises and finding ways to improve it. One of the most effective tools for improving competitiveness of ports is the use of modern marketing tools.

Modern trends in the development of grain exports from Ukraine are analyzed in the article. This can be explained by several factors. Firstly, our country has excellent geographicconditions for growing cereals. Secondly, the volume of production goes beyond the scope of only the domestic market of the country. Thirdly, from the point of view of the logistic structure, the Black Sea ports are well suited for shipping grain to China, Egypt, Thailand, Israel, and the United Arab Emirates.The main goal of the work is to analyze and identify problematic aspects of the competitive environment for the logistics of exportgrain cargo from Ukraine.An analytical review of the competitive environment for the logistics of exporting grain cargo from Ukraine has been carried out. The competitive environment of grain export logistics is the result and conditions of interaction of a large number of entities (grain traders, transport companies, ports, port terminals), which determines the appropriate level of economic rivalry and the ability of individual economic agents to influence the overall market situation. It is important that the competitive environment is formed not only and not so much by the actual subjects of grain delivery and transshipment of grain cargoes, the interaction of which causes rivalry, but, first of all, by the relations between them.Ukraine confidently holds key positions in the world grain market. The Ukrainian grain market is export-oriented, which ensures the receipt of foreign exchange earnings into the state treasury. Most of the grain cargo is exported through port terminals, which requires the coordination and efficiency of grain traders, linear elevators, transport and terminals.However, the logistics schemes for the delivery of grain in our country require partial modification. Improving the competitive environment and solving the problems of supplying grain for export, through the seaports of Ukraine, should be seek in improving the logistics infrastructure, by using inland water transport with road transshipment of goods. The use of this direction will allow supersize vessels to enter the Ukrainian seaports, and will increase the competitiveness of grain exports from Ukraine. Keywords:exporters, grain crops, competitors, grain terminals, transportation, ports