PENERAPAN PROGRAM LINIER UNTUK MINIMASI BIAYA PRODUKSI MENGGUNAKAN METODE GRAFIK(Studi Kasus: Pada Pabrik Karya Utama)
DOI:
https://doi.org/10.5281/zenodo.20742024Keywords:
Graphical Method, Linear Programming, Optimization, Production Cost, Tofu and TempehAbstract
This study aims to optimize the daily production costs at Karya Utama Factory, a medium-scale soybean processing industry. The main problem faced is determining the most economical production combination of tofu and tempeh amidst operational constraints, specifically the minimum daily requirement of 350 kg soybean absorption from the distributor. This applied quantitative research utilizes a two-variable Linear Programming model solved by the Graphical Method. The objective function is formulated to minimize daily production costs, bounded by raw material availability and market quota targets. The results within the feasible region prove that the optimal solution is achieved when the factory constantly produces 1,540 units of tofu and 600 units of tempeh daily. Implementing this combination yields the minimum total expenditure of Rp5,828,000 per day. Furthermore, the analysis uncovers the "Tempeh Trap" paradox, where forcing the production of tempeh—despite its cheaper unit cost—actually triggers total cost inefficiency due to its low raw material absorption ratio. In conclusion, the graphical method is proven to be precise in helping SMEs avoid cash waste and secure food logistics stability.
References
Abidah, A. N., Kustiawati, D., Oktaviani, A. N., Syauqiyah, P. S., & Usman, S. M. N. (2022). Penerapan Program Linear dalam Memaksimalkan Keuntungan Produksi Penjualan Menggunakan Metode Grafik. Jurnal Pendidikan Dan Konseling (JPDK), 4(6), 4880–4887.
Astawan, M. (2009). Sehat dengan Hidangan Kacang dan Biji-Bijian. Penebar Swadaya.
Ba’ru, Y., & Remme, B. V. (2019). Penerapan Metode Grafik dalam Merencanakan Produksi Kue Ibu Patrisia di Rantelemo. Jurnal Keguruan Dan Ilmu Pendidikan, 8(1), 21–25.
Hillier, F. S., & Lieberman, G. J. (2015). Introduction to Operations Research (10th ed.). McGraw-Hill.
Mulyono, S. (2017). Riset Operasi (Edisi ke-2). Lembaga Penerbit Fakultas Ekonomi Universitas Indonesia.
Putra, R. A., & Sari, N. (2020). Minimasi Biaya Bahan Baku dengan Program Linier pada Industri Manufaktur Skala Kecil. Jurnal Ilmiah Teknik Industri, 19(1), 32–40.
Rachman, H. P. S., & Ariani, M. (2008). Aksesibilitas Pangan Masyarakat Berpendapatan Rendah terhadap Pangan di Perdesaan. Analisis Kebijakan Pertanian, 6(2), 149–170.
Setianingsih, T., & Wahyuni, A. (2021). Penerapan Program Linier untuk Optimasi Biaya Produksi pada Usaha Kecil Menengah. Jurnal Matematika Dan Terapan, 3(1), 45–53.
Susanto, E., & Lestari, D. (2020). Penggunaan Program Linier dalam Perencanaan Produksi Optimal pada Industri Pangan Skala Kecil. Jurnal Teknik Industri, 12(2), 87–96.
Taha, H. A. (2017). Operations Research: An Introduction (10th ed.). Pearson Education.
