MATHEMATICAL ANALYSIS OF THE INFLUENCE OF INSTITUTIONAL-ECONOMIC ENTITIES ON PROFIT THROUGH THE PRISM OF TOTAL FACTOR PRODUCTIVITY

Анотація

The article examines the influence of institutional-economic entities on the profit of Ukrainian enterprises through the prism of total factor productivity (TFP). GDP data, capital volumes, employment and average monthly wages for the period 2000–2013 are considered. A mathematical analysis is carried out using Cobb-Douglas production functions and linear models in Excel. The calculations showed that the original production function Yf does not provide an adequate forecast of firms' profits due to the negative effect of TFP (-34.46%). At the same time, the use of the Yh function demonstrated a positive profit growth of 3.62% with high forecasting accuracy (Highly accurate forecasting), which confirms its suitability for modeling economic processes. The study emphasizes the importance of the correct mathematical choice of production functions for assessing the efficiency of institutional and economic entities and the role of TFP in shaping the profitability and competitiveness of enterprises. The results of the work can be used for strategic planning and improving the efficiency of resource management in the national economy. Keywords: institutional and economic entities, firm profit, total factor productivity, TFP, CobbDouglas production function, mathematical modeling, MAPE forecasting, economic efficiency, scientific and technological progress

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