Effective inventory management is crucial for ensuring smooth company operations, while simultaneously optimizing stock levels, minimizing excess inventory, and maintaining capital liquidity. This study aims to optimize raw material inventory control at Usaha Karak Kaliang and Sanjai Marisa, one of the leading Minang specialty souvenir centers in Payakumbuh. The ABC classification method w…
Palm oil production is greatly influenced by the efficiency of assigning harvest workers to each block of land. Suboptimal assignments can lead to an imbalance in workload and a decline in cooperative profits. This final project discusses the optimization of palm oil harvest worker assignments using the Mixed Integer Goal Programming (MIGP) approach. This model is designed to solve scheduling p…
This final project discusses the Erdos-Mordell inequality on nonconvex qua- drilaterals. The Erdos-Mordell inequality on nonconvex quadrilaterals is an extension of the Erdos-Mordell inequality on triangles. Generally, the Erdos- Mordell inequality is the ratio of the sum of the distance of a point in a triangle to each angle and each side. Therefore, the author extends the Erdos-Mordell inequa…
This final project discusses the development of the Opposite Erdos-Mordell Ine- quality in Convex Quadrilaterals. The Opposite Erdos–Mordell Inequality is an extension of the classical Erdos–Mordell Inequality, which is originally formu- lated for triangles and later generalized to convex quadrilaterals. While the standard Erdos–Mordell Inequality compares the perpendicular distances from…
This study aims to produce a problem-based learning teaching module on the topic of linear functions to facilitate the mathematical problem-solving abilities of grade VIII phase D students. This study uses a 4-D development approach. This development research consists of four stages: 1) define; 2) design; 3) develop; and 4) disseminate. This development research produced a proble…
Kemampuan Pemecahan Masalah Matematis (KPMM) adalah kemampuan seseorang untuk menyelesaikan masalah menggunakan sejumlah strategi tertentu. Indikator KPMM yaitu memahami masalah, merencanakan pemecahan masalah, melaksanakan rencana pemecahan masalah dan menafsirkan hasil yang diperoleh. Penelitian ini dilatarbelakangi oleh KPMM siswa kelas VIII MTs Baitul Amal Pekanbaru yang masih tergolon…
Penelitian ini dilatarbelakangi oleh rendahnya kecakapan komunikasi matematis siswa. Berdasarkan hasil telaah literatur, wawancara dan observasi diperoleh bahwa kecakapan komunikasi matematis siswa masih tergolong rendah. Selain itu, proses pembelajaran masih berpusat pada guru, sehingga siswa kurang aktif dalam pembelajaran dan siswa masih kesulitan dalam menyelesaikan soal-soal pemecahan masa…
This final project discusses a hybrid method for solving a system of nonlinear equations called the Jarratt Butterfly Optimization Algorithm (JBOA). This method combines the Jarratt iteration method with the Butterfly Optimiza- tion Algorithm (BOA) to improve accuracy and convergence speed, avoiding singularity, as well to reduce the likelihood of getting trapped in local solu- tions, which is …
This final project discusses a family of iterative method using weight functions to solve nonlinear equations. Convergence analysis using Taylor expansion and geometric series shows that this iterative method have fifth-order convergence. This family is highly flexible due to its form and the diverse choice of weight functions, which allows it to generate various new specific schemes. It also i…
Uncertainty about the future is a natural part of life, encompassing both joys and sorrows, including the unavoidable risks of illness and death. To manage these risks, life insurance serves as a form of financial protection, one of which is thru dual-purpose life insurance products that combine protection and savings benefits. Insurance companies need to provide premium reserves to guaranty fu…
Kemampuan Representasi Matematis (KRM) adalah kemampuan dalam menyajikan kembali notasi, simbol, tabel, gambar, grafik, diagram, persamaan atau ekspresi matematis lainnya kedalam bentuk lain untuk menyelesaikan masalah. KRM memiliki tiga aspek yaitu representasi visual, simbolik, dan verbal. Penelitian ini dilatarbelakangi oleh KRM peserta didik kelas X.7 SMAN 7 Pekanbaru yang belum memenuhi st…
This study aimed to improve students’ mathematical literacy skills (MLS) through the implementation of the Problem-Based Learning (PBL) model in the topic of probability at Phase E. The subjects were Grade X.1 students of SMAN 7 Pekanbaru in the 2024/2025 academic year. This Classroom Action Research (CAR) was carried out in two cycles, namely Cycle I and Cycle II, each consisting of two meet…
This final project discusses the effect of weak disorder on the thermalization process in the Fermi–Pasta–Ulam–Tsingou (FPUT) model, which is one of the classical systems in nonlinear dynamics based on Hamiltonian mechanics. In this study, two types of weak disorder are introduced, namely mass disorder and quadratic potential disorder. The research is conducted numerically through ti- me …
This final project discusses the prospective reserve of endowment life insuran- ce using Benktander type II distribution and Hull-White interest rate model for x-years old single participants with n years coverage period and h years premium payment period. The calculation of reserve is determined using the prospective method, which is calculation of reserve based on the present value of all pas…
Life insurance companies provide protection to address risks that may occur to life insurance participants. Companies need to prepare reserve costs to address these risks. These reserve costs are used to cover the needs of the insurance company and the insurance participants. These reserve are obtained from pre- miums paid by insurance participants and are used to cover the needs of the insuran…
Endowment last survivor life insurance is a type of life insurance product that provides financial protection for two individuals and offers benefits either upon the death of both insureds or upon their survival to the end of the insurance period. In the event of a claim, the insurance company must allocate sufficient reserve funds. Reserve have an important role in ensuring the financial stabi…
This final project discusses a new modification on Heun’s method based on a contraharmonic mean for solving an initial value problem with high efficiency. The process begins by deriving the formula for the method discussed followed by stability analysis, consistency analysis, local truncation error (LTE). From the numerical results presented it can be seen that this method is more stable …
This study aims to improve students' mathematical problem-solving skills through the implementation of a cooperative learning model using the Power of Two method on the topic of linear equations and inequalities in one variable. The subjects of this study were 36 eighth-grade students from class VIII2 at SMP Negeri 11 Pekanbaru. The research employed a Classroom Action Research (CAR) approach c…
This study was motivated by the low level of Learning Objective Achievement Criteria (KKTP) among ninth-grade students at SMP Babussalam Pekanbaru. Based on the summative test scores obtained from the mathematics teacher on the topic of similarity with essay-type questions in the second semester of the 2024/2025 academic year, only 6 out of 24 students achieved the LAC criteria, representing a …
This research is a Classroom Action Research that aims to improve the learning process and improve students' Mathematical Reasoning Ability through the application of Problem Based Learning. This research was conducted in two cycles on 35 Junior High School (SMP) students. The learning tools used include teaching modules equipped with Student Worksheets, teaching materials and data collection i…