A study of key techniques in mathematical input-output modeling in the field of management accounting

Abstract

Abstract In this paper, we explore the integration of a stochastic input-output model based on uniform distribution into management accounting systems to enhance operational efficiency in enterprises. The model is formulated as the mathematical expression of an input-output table, focusing on the structure of the direct consumption coefficient matrix. By applying this model to the financial data of Y Iron and Steel Enterprise in W City, we evaluate the enterprise’s competitiveness and input-output performance. From 2019 to 2023, the company’s capital rate increased markedly from 0.0235 to 0.0868, reflecting a stronger resilience against lousy debt risks. Furthermore, we observed substantial growth in assets, deposits, and loans, with 2023 figures at 0.4965, 0.5839, and 0.3899, respectively. These metrics highlight the rapid development of the financial market and expansion opportunities. Our analysis demonstrates the utility of input-output models in management accounting to qualitatively assess and optimize product output and sales, thus ensuring greater overall operational efficiency.