Production Functions in the Intellectual Capital Management of Industrial Enterprises

The research is aimed at analyzing industrial enterprises that use intellectual capital, which allows them to create intellectual efficiency from production activities. The purpose of the work is to analyze the possibilities for developing production functions for managing the intellectual capital of industrial enterprises in order to increase their efficiency through economic and mathematical methods. With the introduction of economic and mathematical tools, it becomes possible to improve the methodological apparatus for man-aging intellectual capital in industry. The extension of the methodological framework based on production functions allows you to conduct a sample and determine the relationships between indicators in the model. Further, the model allows you to prepare a mathematical justification for analyzing and optimizing the management of selected parameters to improve production ef-ficiency. The results of the analysis show that the introduction of digital technologies and automation contribute to improving intellectual efficiency, which opens up new prospects for studying the influence of factors on the management of intellectual capital.