Differential geometry approach in optimization of the business production process

Authors

  • Ewa Falkiewicz Kazimierz Pulaski University of Technology and Humanities in Radom

DOI:

https://doi.org/10.24136/ceref.2023.006

Keywords:

production function, profit function, cost function, extremes of function, differential space, differential manifold

Abstract

In this work we show a new approach to the optimization of the production process – from a differential geometry point of view. It is known ([2]) analytical conditions of profit maximization and minimization of the cost in an enterprise. In the first part of this work, we show such a classical approach. In the second part of the work, we use geometrical methods to obtain a new geometrical approach to the production process.

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References

Panek E., (2000). Ekonomia matematyczna. Wydawnictwo Akadamii Ekonomicznej w Poznaniu, Poznań.

Sasin W., Żekanowski Z., (1987). On locally finitely generated differential spaces. Demonstratio Mathematica 20, 477-487.

Sikorski R., (1969). Rachunek różniczkowy i całkowy. Funkcje wielu zmiennych. PWN, Warszawa.

Sikorski R., (1967). Abstract Covariant Derivativ., Colloquium Mathematicum 18, 252-272.

Sikorski R., (1971). Differential Modules. Colloquium Mathematicum 24, 46-79.

Sikorski R., (1972). Wstęp do geometrii różniczkowej. PWN, Warszawa.

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Published

2023-12-21

How to Cite

Falkiewicz, E. (2023). Differential geometry approach in optimization of the business production process. Central European Review of Economics & Finance, 43(2), 5–16. https://doi.org/10.24136/ceref.2023.006

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Section

Articles