The problem of determining the size and structure of production of agricultural holdings is reflected in the view of several scholars, among them L. Zahiu, D. Parmacli, O. Horjan and others, and from the point of view of optimizing it based on the economical-mathematical modeling to academician S. Volkov. But in the aspect of the influence of the optimal dimension on the size of the profit - it is not approached. That is why, in the current study, we have made an attempt (which, in our opinion, succeeded us) in resolving such a problem. In this context, based on the research of R. Kravcenko and S. Volkov's scientists, the mathematical model corresponding to the operational conditions of SRL "Regis-Agro" was developed, the necessary information was prepared and the problem was solved on the computer. Analyzing the obtained data, we found that the optimal size of the household according to the quantitative indicator taken into account - the area of the arable land, should be 418 ha, with financial and labor resources deficient. Thus, the profit calculated per 1 ha of the arable land will increase by 81.9% compared to the average of the years 2013-2017 and the profitability level will be 53.66%, which is by 13.49 percentage points higher than the average of the last five years .