Mathematical analysis of the Production Function as a means to relate the average and marginal productivity of capital and labor as determining productive factors in the production function
Abstract
Mediante la implementación de derivadas parciales por cada variable (factor), se determina que las derivadas segundas parciales respectivas, son negativas, y por lo tanto denotan concavidad hacia abajo, lo cual quiere decir que estamos en presencia de un punto máximo, y por consiguiente son funciones de producción que pueden presentar comportamiento de economías de escala.
La determinación de las productividades marginales del trabajo y del capital, resultan importantes porque establecen el nivel de aprovechamiento óptimo de los factores de producción, y su remuneración adecuada.
Lo que garantiza que la empresa tenga criterios de decisión, para hacer los respectivos ajustes que le permitan mantener su presencia en el mercado por más tiempo.
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