Abstract
The paper considers the issues of economic and mathematical modeling of gross domestic and regional products based on multiplicative production functions, taking into account (and without taking into account) neutral scientific and technological progress. An assessment of the statistical and economic significance, as well as the economic adequacy of the constructed models, was carried out. When modeling, it is proposed to use such an indicator as the effective volume of labor, taking into account the qualitative characteristics of this factor of production. This approach made it possible to significantly increase the share of economically significant and economically adequate models of gross domestic product, which is confirmed by the results of numerical experiments conducted for the Russian Federation, the Volga Federal District and the Republic of Mari El.