Análisis de un modelo matemático que permita la maximización de ingresos en una empresa camaronera

Abstract

The shrimp sector in Ecuador is very important within the national economy, it is a great source of jobs and provides food for everyone. Ecuador is the second country with the highest shrimp production worldwide. The provinces that stand out in the production of white shrimp are Guayas, El Oro, Manabí, Esmeraldas and Santa Elena. In 2020, more than 600 thousand MT of shrimp were produced, generating 3 823.53 million dollars in profits. Due to the importance of this industry, we apply a non-linear mathematical model considering the national and international price in order to establish the optimal marketing price either within or outside the country. This made it possible to make a decision that allows the company to maximize its profits. The result indicates that when the production costs per pound of shrimp are around $3.32, the market price would be $5.32 for a shrimp weighing 18 grams, generating a profit for Ecuadorian producers of $32 982 727, and to the company for $37 469.20.