Optimization of Average Rice Production in South Sumatera Region using Quadratic Method
Alda Amalia Mortara (a), Kurnia Romadona (b), Mitta Permatasari (c*), Fitri Maya Puspita (d), Sisca Octarina (e)

Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Sriwijaya, Jl. Raya Palembang-Prabumulih KM. 32, Indralaya, Sumatera Selatan, (0711)310004

Abstract

The increasing population growth is directly proportional to the increasing demand for rice as a staple in Indonesia. However, rice production has decreased, so a nonlinear approach is needed to solve this problem. The quadratic method, specifically the Wolfe Method, is used to optimize rice production. Data on the average rice harvest area from 17 districts and cities in South Sumatra during 2020-2021 is used as the basis for analysis. Through quadratic programming, a mathematical model was formed with 17 decision variables representing the harvest area in each region. The objective function of quadratic programming with the Wolfe Method seeks to maximize rice production by considering linear constraints. The results of this study are expected to provide an optimal solution for the rice harvest area in South Sumatra, which can be a guide to increase rice production in the region.

Keywords: Optimization, Rice Production, Quadratic Method, Wolfe Method

Topic: Mathematics and Its Applications