Economic and mathematical modeling of management of financial and economic activities of agricultural enterprises

Abstract

Abstract. Modeling of agricultural production and economic processes adapted to changing natural and climatic conditions allows to increase the efficiency of agricultural enterprises under the influence of foreseeable events and decisions. The purpose of the article is to study the challenges and prospects of economic and mathematical modeling of the management of financial and economic activities of agricultural enterprises. The research methods include general scientific methods of abstraction, analysis and synthesis. In order to achieve the research objectives, the dialectical method of scientific knowledge was applied in the work. The abstract-logical method of theoretical and factual generalizations was used to formulate conclusions and proposals. The information base of the study was the scientific works of Ukrainian scientists on the topic under consideration, the results of the authors' own research, etc. The results of the study revealed that today it is especially relevant to form new approaches aimed at determining the theoretical and conceptual aspects of scientifically based recommendations for the development and improvement of business models of agricultural enterprises that take into account the dynamic processes of production, storage, processing and sale of products in conditions of low turnover of financial resources. A mathematical model of real profit from the sale of agricultural products has been developed, which develops depending on the storage time of a unit of production and specific losses in the volume of stored products, and the level of inflation. The main functions used for a certain management strategy have been determined, the signs and sizes of which allow determining the direction of the optimization process depending on the parameters of the storage and sale of produced agricultural products. The scientific understanding of the role of existing economic and mathematical methods and models has been deepened, which can serve as the basis for making effective management decisions in the context of existing production risks and inflationary processes in the economy. Conclusions. For each strategy for managing the efficiency of agricultural enterprises, a mathematical model has been proposed that takes into account; quantitative indicator of efficiency; ratio of produced and sold volumes; storage costs per unit of production; possible volume losses during storage; model of market prices for products and the level of inflation.