Gestión Empresarial basada en Métodos Cuantitativos

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    Modelo matemático para la planificación de la producción del sector cuero en la parroquia de Quisapincha
    (Universidad Técnica de Ambato. Facultad de Ciencias Administrativas. Maestría en Gestión Empresarial basado en Métodos Cuantitativos, 2017) Ortiz Zurita, Johanna Gabriela; Teneda Llerena, William Fabián
    The purpose of this study was to develop a mathematical model that suits the needs of economic improvement of the leather sector in the parish of Quisapincha Ambato Ecuador, in order to adequately plan production through the use of a quantitative tool that helps support decision-making and improve administrative management. The investigation was initiated due to an inadequate production planning since its manufacturers based their decisions on their own criteria; that is, they did it empirically. For this purpose, the objectives were set in order to solve the current problems of the leather sector of the parish of Quisapincha Ambato Ecuador. We compiled information regarding study variables using scientific articles and books of variables production planning and mathematical models; with their respective fundamental categories. In addition, in order to gather information regarding the sector, surveys were carried out with current and potential customers, and preferences and preferences were identified; on the other hand the manufacturers indicated the current way that the production planning takes place and eight generic variables of the sector that they have in common were detected; for which studying them served to structure the mathematical model of the sector using the simplex method and to be able to maximize the profits in a period of time of one week and based on historical information was able to determine a utility of $ 196,98. It was possible to verify the hypothesis that was posed in the following way: An adequate mathematical model will not improve the production planning in the Leather sector of the parish of Quisapincha; with the use of the Wilcoxon test, a bilateral significance level of 0 was determined and the hypothesis was verified. A correlation and multiple regression analysis was developed; with the use of data provided by the Internal Revenue Service, studying the variables: Sale price, purchases and inflation with the collection of 280 data from the year 2010 to 2017 had a R-square of 95.11 percent that helped to identify a scenario when you have values of different variables and predict that if you have a 5 percent inflation, purchases amount to $ 3,000, with an average value per item of $70.00; sales amounted to $ 3,368.23. By means of the Anova analysis the variables with the highest correlation could be identified: Control, planning, forecast and production process; obtaining a Cronbach's alpha of 0.770; which helped to conclude that the reliability of the instrument used is good, with a tendency to excel. It is concluded that in the sector the highest percentage of manufacturers have a higher level of secondary education, having for more than 25 years in that economic activity, the production interval is weekly and the production forecast is done empirically. Finally, the proposal is made to equip the sector with a mathematical model using the Excel Solver statistical tool to identify the necessary resources for weeks and the optimal amount to produce in order to maximize profits. Based on this model and comparing it with the historical data it was evidenced that there is an 18.9 percent improvement in the maximization of resources.