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Dynamics of development of optimal maximum capacity by enterprises

Year: 2025

Type: article

Abstract: The article examines the dynamics of enterprises mastering their optimal maximum capacity. A variant of a one-factor model of an enterprise is considered, the dynamics of resource growth, revenue, costs and profit of which is described by a differential equation. In addition, a variant of a two-factor model of an enterprise is proposed, the dynamics of resource growth, revenue, costs and profit of which is described by a system of differential equations. It is shown that in both cases the optimal values of the maximum capacities of enterprises correspond to the values of maximum profits. Deviation from these values leads to a decrease in the effective operation of enterprises and, ultimately, to lost profits.

Source: Vestnik of Samara University Economics and Management

DOI: 10.18287/2542-0461-2025-16-1-144-158

Authors: Alexander L. Saraev, Leonid A. Saraev

Institutions: Samara State University of Economics, Samara National Research University

Language: English

Topic: Economic and Industrial Development

Subfield: Economics and Econometrics

Field: Economics, Econometrics and Finance

Domain: Social Sciences

SDG: Decent work and economic growth

Open Access status: diamond

OpenAlex ID: W4410380457

FWCI:

Cites: 3

Cited by:

Related to: 10