Majalah Ilmiah Matematika dan Statistika (MIMS)
Vol. 24 No. 2 (2024): Majalah Ilmiah Matematika dan Statistika

Optimizing banana production in aroma Lumajang business using goal programming method and sensitivity analysis

Bramastary, Aurelly Meidy (Unknown)
Kharis, Selly Anastassia Amellia (Unknown)



Article Info

Publish Date
27 Sep 2024

Abstract

Lumajang regency, located in the East Java Province, Indonesia, is renowned for its extensive banana cultivation. Aroma Business, situated in Kalibendo Village, Pasirian District, Lumajang Regency, specializes in banana processing. The company faces challenges including suboptimal production levels, underutilization of resources, raw material shortages, and escalating production costs. These issues contribute to financial instability and unmet market demand. This study aims to establish optimal production planning strategies to address these critical challenges. The research employs the Goal Programming method, which is selected for its suitability in addressing multi-objective problems. Optimization of production is essential for achieving desirable outcomes, ensuring both quantity and quality of products. Research conducted with the aid of LINDO software reveals that production costs can be reduced from IDR 6,647,400 to IDR 6,417,000. Additionally, raw material availability can be increased by 1,512 pieces and the production of banana stem chips can be increased from 240 pieces to 372 pieces, resulting in an increase in company profits from IDR 10,506,000 to IDR 11,727,000. Sensitivity analysis indicates that variations in the right-hand side ranges value do not impact the obtained optimal results. Keywords: Banana production, goal programming, optimization, sensitivity analysis, LINDO software. MSC2020: 90B30.

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Journal Info

Abbrev

MIMS

Publisher

Subject

Mathematics

Description

The aim of this publication is to disseminate the conceptual thoughts or ideas and research results that have been achieved in the area of mathematics and statistics. MIMS, focuses on the development areas sciences of mathematics and statistics as follows: 1. Algebra and Geometry; 2. Analysis and ...