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The article deals with the problems of the regional development strategy, which primarily should be aimed at increasing the soil fertility in Ukraine. Suggested concept of innovation-investment development of agriculture, which is based on the objective necessity of providing agricultural enterprises in future with investments taking into account the state of their development, the most complete use of internal opportunities and adaptation to changes in the external environment. The economic-mathematical model for setting the prospects of agricultural production development has been developed. To substantiate the development of agricultural enterprises of different types of production prospects, the task matrix includes data on production and financial activities which was collected on the basis of typical agricultural enterprises. These enterprises data was determined on the basis of processing of statistical information on agrarian formations of a certain region. The proposed economic-mathematical model of the problem is designed in such way that it is possible to introduce other variants for the determined situations, by making minor changes in the limitations of its matrix. It gives opportunities to set the need for investments for the goal achievement with the maximum predicted profit by enterprises of each separate production type and in the whole region of enterprises which are engaged in the production of agricultural products. The solution of the problem by this model will enable to determine in each production type of agricultural enterprises such a sectoral structure of production, which gives the opportunity to obtain maximum profits and the minimum terms of return on investment. Developed activities at the stage of practical realization and commercialization of innovations allow increasing income of the agricultural enterprises from the cattle breeding and plant growing sectors, to organize their own production of the required amount of cultures to ensure optimum forage production beef cattle and dairy direction, to preserve quality characteristics of cultivated of soils.

The economic purpose of correlation-regression analysis is to determine the possible options for product competitiveness management, as well as an assessment of possible ways to achieve the desired result. The developed model can be used to improve planning and increase the level of product competitiveness. The forecast of results, though for the short term, gives the chance to learn about the prospects of obtaining the appropriate level of competitiveness of products in accordance with the degree of application of the impact on it. The forecast is dynamic and adapts to changes based on the latest data. The proposed model can be integrated into the existing decision support system to increase the competitiveness of products. In addition, correlation-regression analysis makes it possible to estimate the current situation using a regression equation. The mathematical reflection of the study of product competitiveness is the economic-mathematical model, which determines its functioning and assessment of changes in its effectiveness in the event of possible changes in the characteristics of economic activity. The parameters of economic models are estimated using the methods of mathematical statistics according to real statistical information. The task of correlation-regression analysis is to construct and analysis of the economic-mathematical model of the regression equation (correlation equation, which reflects the dependence of the resultant feature on several factor features and gives an estimate of the degree of connection density. Using data on the magnitude and direction of action of the analyzed factors, you can get the data that can be obtained to assess the relevant impact on the current level of product competitiveness. That is, such an analysis is a powerful and flexible tool for studying the relationships between product competitiveness indicators. The use of this method makes it possible to better understanding of the level of influence of factors on the competitiveness of products, and, accordingly, learn to manage the processes that take place, as well as more accurately predict their further interaction. These studies are important for the formation and implementation of management decisions to increase the competitiveness of products, because it narrows the choice of indicators with the greatest impact on its level. The ability to determine short-term forecasting of such impacts makes it possible to determine regional perspectives under the conditions of implemented measures.

Agricultural enterprises in Ukraine require a considerable investment income. The paper studies the main problems and conditions for investment into agricultural enterprises, the scope and dynamics of their investment provision. The results of agricultural enterprises activity depend directly on the state of their fixed assets. This is one of the biggest vulnerabilities of agricultural enterprises, which makes it impossible for the economy of Ukraine to demonstrate decent results. Investments should be used primarily for the development of material and technical basis of agricultural enterprises, because the fixed assets always depreciate, the term of their use in many enterprises exceeds 15 years and their number is constantly decreasing. Investment in technical provision of plant growing is necessary and attractive. Firstly, as a basis of plant growing, grain and oilseeds are always in demand at the domestic and foreign markets. Secondly, the volumes of investments are moderate compared to other investments in agriculture. In the beginning, it is sufficient to invest into the branch on average from 1 to 2 thousand US dollars per 1 hectare. The average payback period of investments is 2-4 years. Thus, in order to stimulate investments, it is vital to form a qualitatively new policy aimed at increasing investment attractiveness of agricultural enterprises.