Analisis Konvergensi Newton–Raphson dalam Estimasi Titik Impas Penjualan Telur Ayam Kampung UMKM Surabaya
DOI:
https://doi.org/10.31004/joecy.v6i1.6691Keywords:
Break-Even Point, free-range chicken eggs, Newton–Raphson method, MSMEsAbstract
Free-range chicken eggs are an important commodity traded by Micro, Small, and Medium Enterprises, with prices that fluctuate across local markets and affect production planning. This study applies a nonlinear cost–revenue model and the Newton–Raphson method to determine the break-even point (BEP) using monthly price data from six traditional markets in Surabaya from January to October 2025. The analysis shows that most markets converge to a stable price of Rp48,000/kg, while markets with higher volatility require multiple iterations. The average selling price is Rp46,201.90/kg, forming the revenue function TR = 46,201.90Q and the cost function TC(Q) = 1,500,000 + 35,000Q. The BEP is achieved at Q* = 117.10 kg with total revenue equal to total cost of Rp5,410,040. These results confirm that the Newton–Raphson method provides stable and reliable BEP estimates for small-scale egg businesses
References
Aisyah, S., & Sitti, R. (2021). Break Even Point ( BEP ) Usaha Ternak Ayam Petelur Mandiri Di Kecamatan Patampanua Kabupaten Pinrang. 3(1), 1–6.
Bhatti, S. H., Ahmed, A., Ferraris, A., Hirwani Wan Hussain, W. M., & Wamba, S. F. (2025). Big data analytics capabilities and MSME innovation and performance: A double mediation model of digital platform and network capabilities. Annals of Operations Research, 350(2), 729–752. https://doi.org/10.1007/s10479-022-05002-w
Gembul, G., & Bengkulu, B. (2025). Analisis Harga Pokok Produksi Dan Break Even Point Pada Toko Roti Gembong Gembul Bengkulu. 9, 414–422.
Handari, M. E., Novelin, M., Sitohang, J., Pasha, M., Anantha, F., Halim, K. P., Pramudya, R., Tara, T. B., Sibarani, C. J., & Firdaus, A. (2025). Analisis Break-Even Point sebagai Dasar Penentuan Volume Produksi Efisien pada Usaha Mikro Donat : Studi Kasus pada UMKM ’ X ’. 2, 1–8.
Javanica, J. (2024). Analisis Break Even Point Sebagai Perencanaan Laba Pada Home Industry Keripik Tempe Mbok Eroh Banyuwangi. 3, 25–38.
Mahalipa, H. K., Indriani, R., Wibowo, L. S., & Imran, S. (2022). Analisis Break Even Point dan Faktor yang Mempengaruhi Usaha Tahu pada Masa Pandemi Covid-19 di Kecamatan Tolangohula Kabupaten Gorontalo. 11(2), 203–212.
Mikalef, P., & Krogstie, J. (2020). Examining the interplay between big data analytics and contextual factors in driving process innovation capabilities. European Journal of Information Systems, 29(3), 260–287. https://doi.org/10.1080/0960085X.2020.1740618
Performa, A., Dan, M. N., Aisyah, I., & Ikhsan, A. (2025). Analisa Performa Metode Newton-Raphson Dan Iterasi Titik Tetap Untuk Menyelesaikan Akar Sistem Persamaan Non-Linear. 3(2), 191–197.
Putri, S. A. (2023). Analisis Break Event Point ( BEP ) Sebagai Alat Perencanan Laba Jangka Pendek Pada UMKM Cafe Limas Palembang.
Raphson, N. (2023). Penentuan Break Even Point Melalui Regresi Dan Newton Raphson. 03(01), 1–11.
Safitri, F. A., Safitri, R., & Demousa, T. I. (2025). Analisis Efisiensi Penggunaan Modal dan Profitabilitas Usaha Keripik Singkong Cutella Presto di Kecamatan Kaliwates Kabupaten Jember. 14(2), 188–197.
Shafira, Y., Widyasari, D., Fauji, R., Manajemen, P. S., Buana, U., & Karawang, P. (2024). UMKM Kerupuk Asoy Rengasdengklok Karawang Analisis Break Even Point ( BEP ) Sebagai Perencanaan Laba. 7.
Yamamoto, T. (2000). Historical developments in convergence analysis for Newton’s and Newton-like methods. Journal of Computational and Applied Mathematics, 124(1–2), 1–23. https://doi.org/10.1016/S0377-0427(00)00417-9
Zhang, H., & Yuan, S. (2023). How and When Does Big Data Analytics Capability Boost Innovation Performance? Sustainability (Switzerland), 15(5), 1–19. https://doi.org/10.3390/su15054036
Zukhruf, M. F., Fariadi, H., Nurmalia, A., Agribisnis, M., & Bengkulu, U. D. (2025). Analisis Keuntungan Dan Break Even Point Usahatani Melon Pada Agroeduwisata Toboponik Di Kota Bengkulu Analysis Of Profit And Break Even Point Of Melon Farming In Toboponic Agroeducation Tourism In Bengkulu City. 6(1), 127–136.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Anggraini Puspita Sari, Deswita Choirun Nisa, Yogi Dwi Arsanti, Olivia Dewi Ramadhani Suryoningsih, Sischa Wahyuning Tyas
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
