Abstract <p>This paper continues the authors’ research cycle on the development of a new class of nonlinear input–output models, taking into account the substitution of production factors and economic constraints, which is a development of W. Leontief’s linear model. The new models allow calculating the economic equilibrium in the supply and price network based on analyzing the problem of resource allocation and the Young dual problem of price formation. This article studies the application of this model with a combined production function with constant elasticity of substitution for the analysis and forecasting of solvent demand for labor resources in the Russian economy.</p>