Dynamics of development of optimal maximum capacity by enterprises

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.

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Publication Details

Journal
Vestnik of Samara University Economics and Management
Published
2025-05-14
DOI
https://doi.org/10.18287/2542-0461-2025-16-1-144-158
Primary Topic
Enterprise Management and Information Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Dynamics of development of optimal maximum capacity by enterprises

А. Л. Сараев, Leonid A. Saraev
Vestnik of Samara University Economics and Management
Enterprise Management and Information Systems
article

Dynamics of development of optimal maximum capacity by enterprises

А. Л. Сараев, Leonid A. Saraev
article en

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.

Vestnik of Samara University Economics and ManagementVol. 16(1)
Samara National Research University (RU), International Market Institute (RU)
Openalex Percentile: Top 86%
Enterprise Management and Information Systems
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