Production functions with given elasticities of output and production

Abstract

In this paper we consider inverse problems of identifying multi-factor production functions from given elasticity of output or from given elasticity of production. The analytical forms of multi-factor production functions with given elasticity of output or with given elasticity of production are indicated. Classes of two-factor production functions that correspond to given (constant, linear, linear-fractional, exponential, etc.) elasticity of output with respect to capital (elasticity of output with respect to labour) are obtained. The set of two-factor production functions with given (constant, linear, linear-fractional, exponential, etc.) elasticity of production is built. The obtained results can be applied in modeling of production processes.