Judul: Financial Feasibility Analysis and Business Model of  Palm Oil in Mini-Scale Palm Oil Mills
Abstrak: Pabrik kelapa sawit di Indonesia biasanya berada ditengah perkebunan milik perusahaan besar. Petani swadaya yang ingin menjual hasil panen sawit harus menjual ke pabrik milik perusahaan yang letaknya jauh. Miniplant sawit yang berkapasitas 2 ton per jam dapat dibangun di sekitar kebun dengan jarak yang lebih dekat. Analisis kelayakan finansial dan model bisnis perlu dilakukan untuk proyek miniplant sawit. Perhitungan finansial proyek ini dilakukan dengan menghitung rencana (skema) produksi yang terdiri dari skema 1 yaitu menggunakan 20% CPO dan skema 2 menggunakan 90% CPO yang dihasilkan menjadi Minyak Sawit Merah (RPO) dan minyak goreng. Analisis finansial terbaik yang didapat yaitu model produksi 90% CPO untuk skema 1 yaitu NPV sebesar Rp217,914,929, IRR sebesar 16.2316%, PBP sebesar 7.20 tahun, dan B/C ratio sebesar 1.30 dan untuk hasil kriteria untuk skema 2 yakni IRR sebesar 17.5671%, NPV sebesar Rp458,882,360 PBP sebesar 6.99 tahun dan B/C ratio sebesar 1.31., Palm oil mills in Indonesia are usually located in the middle of plantations owned by large companies. Independent smallholders who want to sell their palm oil crops have to sell to a company-owned mill that is far away. An oil palm mini plant with a capacity of 2 tons per hour can be built around the plantation at a closer distance. Financial feasibility analysis and business models needs to be carried out for the oil palm mini plant project. The financial calculation of this project is carried out by calculating the production plan (scheme) consisting of scheme 1 which uses 20% CPO and scheme 2 uses 90% of the CPO produced into Red Palm Oil (RPO) and cooking oil. The best financial analysis obtained is the 90% CPO production model for scheme 1, namely NPV of IDR 217,914,929, IRR of 16,2316%, PBP of 7.20 years, and B/C ratio of 1.30, and for the results of the criteria for scheme 2, namely IRR of 17,5671%, NPV of Rp458,882,360 PBP of 6.99 years and B/C ratio of 1.31.
Keyword: Analisis finansial, Mini plant sawit, Model bisnis, business model, Financial analysis, Palm mini plant

Judul: Analisis Kelayakan Finansial dan Perizinan Pendirian Pabrik Kelapa Sawit Skala Miniplant
Abstrak: Miniplant sawit merupakan solusi bagi petani sawit swadaya karena Pabrik Kelapa Sawit (PKS) umumnya dibangun jauh dari perkebunan rakyat mengakibatkan pendapatan petani sawit swadaya menurun disebabkan rantai pasok penjualan Tandan Buah Segar (TBS) lebih panjang karena harus melalui pengumpul. Tujuan penelitian ini ialah menganalisis kelayakan kriteria investasi pada pendirian miniplant sawit untuk meningkatkan nilai ekonomi dan pendapatan petani sawit swadaya dan menganalisis sensitivitas terhadap beberapa kondisi. analisis finansial miniplant sawit diperoleh nilai NPV positif sebesar Rp 2.540.779.053, IRR sebesar 54% nilai B/C ratio sebesar 2,8 dengan payback period selama 2,2 tahun. Analisis sensitivitas menunjukan bahwa akan terjadi perubahan tingkat kelayakan jika terjadi kenaikan harga TBS sebesar 15% dan 20% dengan setengah kapasitas pengolahan. Perizinan pendirian miniplant sawit dengan kapasitas 1 ton TBS/jam dilakukan melalui bupati/walikota. Oil palm miniplants are a solution for independent oil palm smallholders because Palm Oil Mills (PKS) are generally built away from smallholder plantations, resulting in decreased income for independent smallholders due to a longer supply chain of Fresh Fruit Bunches (FFB) because they have to go through collectors. The purpose of this study was to analyze the feasibility of investment criteria in the establishment of oil palm miniplants to increase the economic value and income of independent oil palm smallholders and analyze the sensitivity to several conditions. The financial analysis of the oil palm miniplant obtained a positive NPV value of IDR 2,540,779,053, an IRR of 54%, a B/C ratio of 2.8 with a payback period of 2.2 years. Sensitivity analysis shows that there will be a change in the level of feasibility if there is an increase in FFB prices by 15% and 20% with half processing capacity. Licensing for the establishment of an oil palm miniplant with a capacity of 1 ton/hour is carried out through the regent/mayor
Keyword: Financial analysis, sensitivity analysis, palm miniplants

Judul: Metrik Einstein (Anti-) Self-Dual Berdimensi Empat dengan Metode Cartan
Abstrak: Gravitational field equation can be formulated in differential forms (differential geometry), which describes gravity as a manifestation of the curvature of space-time. Curvature of space-time is characterized by a metric that satisfies the gravitational field equation. With differential forms it can be formulated the (anti-) self-dual Einstein equation, which is a modification of the Cartan structure in (anti-) self-dual basis. Calculation of (anti-) self-dual metric with (anti-) self-dual Einstein equation is simpler than the calculation using Christoffel symbols.
Keyword: