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David Kapele
Universitas Negeri Manado
Education Mathematics

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Optimalisasi Produksi Usaha Kuliner: Pendekatan Linear Programming Pada Rumah Makan Jawa Lumintu Christari Palit; Agresia Sabubun; Achwan Zalalludin; David Kapele; Dyrel Kusnadi; Julius Zendrato; Samuel Bisuan
Griya Journal of Mathematics Education and Application Vol. 5 No. 4 (2025): Desember 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i4.992

Abstract

Penelitian ini bertujuan untuk menentukan kombinasi produksi makanan yang paling optimal pada Rumah Makan Jawa Lumintu agar keuntungan harian dapat dimaksimalkan. Permasalahan diselesaikan menggunakan metode Simpleks dalam model program linear dengan mempertimbangkan keterbatasan bahan baku seperti ayam, lalapan, bumbu nasi goreng, mie, serta berbagai jenis bakso. Data diperoleh melalui wawancara dan observasi langsung terhadap pemilik usaha. Hasil penelitian menunjukkan bahwa kombinasi produksi optimal terdiri atas 15 porsi nasi goreng, 105 porsi ayam lalapan, 85 porsi bakso biasa, 30 porsi bakso tenes, dan 30 porsi bakso urat. Kombinasi tersebut menghasilkan keuntungan maksimum sebesar Rp 5.310.000 per hari. Analisis kendala menunjukkan bahwa beberapa bahan baku menjadi pembatas utama dalam proses produksi, terutama bumbu nasi goreng, ayam, bakso tenes, dan bakso urat yang habis digunakan pada solusi optimal. Penelitian ini menyimpulkan bahwa metode Simpleks efektif digunakan untuk perencanaan produksi makanan dan dapat menjadi dasar bagi pengambilan keputusan operasional yang lebih efisien.
Optimalisasi Produksi Bakso dengan Menggunakan Pendekatan Integer Linear Programming Pada Rumah Makan Jawa Lumintu David Kapele; James Mangobi
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1189

Abstract

Micro, small, and medium enterprises (MSMEs) in the culinary sector often face production planning problems due to limited raw materials and production decisions based on estimation. This study aims to determine the optimal production quantities of several meatball variants at Rumah Makan Jawa Lumintu using Integer Linear Programming (ILP) assisted by POM-QM for Windows. This research is an applied quantitative study in Operations Research. Data were collected through observation and interviews regarding raw material composition, production output, inventory availability, and the production system. A mathematical model was developed to maximize total meatball production by considering raw material constraints, minimum production requirements, and integer restrictions. The results showed that the optimal production combination in a four-day production cycle consists of 5942 regular meatballs, 150 tenes meatballs, 200 tendon meatballs, and 50 super meatballs, yielding a maximum production of 6342 meatballs. Compared with the actual production of 5320 meatballs, the optimization model increased output by 1022 meatballs or 19,21%. Therefore, ILP assisted by POM-QM for Windows can be used as an effective tool for more optimal, efficient, measurable, and data-driven production planning.
Co-Authors Achwan Zalalludin Agresia Sabubun Christari Palit Dyrel Kusnadi James Mangobi Julius Zendrato Samuel Bisuan