Modelo de programación lineal para la optimización del manejo de los recursos de simulación en las pequeñas fincas productoras de leche en la provincia de Chimborazo.

Abstract

This research aimed at applying a linear programming (LP) model for the resource optimization and the simulation at a small dairy farm in the province of Chimborazo. Dairy cattle nutritional requirements and feed were analyzed. To establish indicators affecting milk production, surveys were applied; the results were as follows: type of grass, nutrients and balanced feed and ancillary feed. Different types of grass were combined with ancillary feed to develop the linear programming model and its simulation. A maximum production was gotten by combining three types of grass (ray grass, bluegrass and clover) with the nutritional complement finding decision variables. Also, the slack variables as missing and remaining of nutritional requirement indicators were analyzed. Las Silvanitas farm located in Cebadas parish in Guamote Canton was chosen to validate this investigation. The hypothesis was proven using Chi square. The result of the calculation was 13.29 using Chi square and the one obtained in tables was 7.81. Therefore, the null hypothesis was rejected. We recommend applying this linear programming model, since the variables will be identified to optimize the milk production in small dairy farms in the province.