Journal of Innovative and Creativity
Vol. 6 No. 1 (2026)

Analisis Konvergensi Newton–Raphson dalam Estimasi Titik Impas Penjualan Telur Ayam Kampung UMKM Surabaya

Sari, Anggraini Puspita (Unknown)
Nisa, Deswita Choirun (Unknown)
Arsanti, Yogi Dwi (Unknown)
Suryoningsih, Olivia Dewi Ramadhani (Unknown)
Tyas, Sischa Wahyuning (Unknown)



Article Info

Publish Date
09 Jan 2026

Abstract

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

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Journal Info

Abbrev

joecy

Publisher

Subject

Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

Description

Journal of Innovative and Creatifity (JOECY) publishes research articles in the field of education which report empirical research on topics that are significant across educational contexts, in terms of design and findings. The topic could be in curriculum, teaching learning, evaluation, quality ...