Differential geometry approach in optimization of the business production process
DOI:
https://doi.org/10.24136/ceref.2023.006Keywords:
production function, profit function, cost function, extremes of function, differential space, differential manifoldAbstract
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.
Downloads
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.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.