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The article is devoted to the study of inverse problems of identifying two-factor production functions from given marginal rate of technical substitution. The analytical forms of twofactor production functions with given linear-fractionalmarginal rate of technical substitution of labor by capital. Classes of two-factor production functions that correspond to given (constant, linear, linear-fractional, exponential, etc.) marginal rate of technical substitution areindicated. The obtained results can be applied in modeling of production processes.

TWO-FACTOR PRODUCTION FUNCTIONS WITH GIVEN MARGINAL RATE OF SUBSTITUTION