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All Journal Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam (JURRIMIPA)
Mhd Fachrizal
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Mathematics

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Analisis Laju Pertumbuhan Kota Pematang Siantar dengan Menggunakan Konsep Integral Tak Wajar pada Tahun 2024–2025 Suvriadi Panggabean; Petra Putri Sarinah Pandiangan; Mhd Fachrizal; Arief Rachman Pakpahan; Alya Dwi Lestari; Livia Mutianda; Lestari Novianti Sinurat
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 1 (2025): April : Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i1.4579

Abstract

In this study, the population growth rate of Pematang Siantar City during the period 2022–2025 is discussed through an improper integral approach. Population growth patterns must be analyzed and predicted in the long term. Linear, geometric, and exponential growth models are used to analyze data taken from the Statistics Center. The calculation results show that the population growth rate changes every year, with an average change of 0.10% per year. The prediction for 2025–2026 shows a growth of 0.59%, indicating an increase in population. However, through an improper integral approach, it is found that a population that experiences a decrease in growth rate over time will reach a limited cumulative total population value, even if the population continues to increase. These results indicate that a long-term downward trend can lead to population shrinkage, uncontrolled growth can lead to population density. As a result, this study is expected to provide a scientific basis for population policies and sustainable development planning in Pematang Siantar City.
Penerapan Program Linear Metode Simpleks untuk Memaksimalkan Keuntungan pada Penjualan UMKM Nerli Khairani; Asni Al Amini; Mhd Fachrizal; Adinda Saputri; Livia Mutianda
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 5 No. 1 (2026): April : JURRIMIPA: Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v5i1.9311

Abstract

Micro, Small, and Medium Enterprises (MSMEs) often face challenges in managing production resources, such as limited raw materials and labor time, resulting in suboptimal business profits. This study aims to determine the production combination that can generate maximum profits for culinary MSMEs producing risol and pastel using the simplex linear programming method. The study employed a quantitative descriptive method with a case study approach. Data were obtained through interviews, observations, and documentation of the MSME's daily production activities. The data used included wheat flour raw material usage, production time, output quantity, and profit for each product. The results showed that the optimal production combination was achieved when producing 2.5 risol recipes and 0.5 pastel recipes, with a maximum profit of IDR 252.375 per day. These results demonstrate that the application of the simplex method can help MSMEs optimize the use of production resources more effectively and efficiently, thereby increasing business profits.
Co-Authors Adinda Saputri Alya Dwi Lestari Arief Rachman Pakpahan Asni Al Amini Lestari Novianti Sinurat Livia Mutianda Nerli Khairani Petra Putri Sarinah Pandiangan Suvriadi Panggabean