Differential geometry approach in optimization of the business production process

• Authors: Ewa Falkiewicz

Abstracts

EN

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.

Keywords

EN

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

• Publisher: Instytut Naukowo-Wydawniczy "SPATIUM"
• Journal: Central European Review of Economics & Finance
• Year: 2023
• Volume: 43
• Issue: 2
• Pages: 5-16

Dates

published

2023

Contributors

author

Ewa Falkiewicz

• Kazimierz Pulaski University of Technology and Humanities in Radom

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.

Identifiers

DOI

10.24136/ceref.2023.006

Biblioteka Nauki

30120347