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: Feasibility Analysis of Small Scale Red Palm Oil Business on KSU Sari Bumi in South Sumatera
Abstrak: Indonesia sebagai negara produsen minyak kelapa sawit terbesar ditunjang oleh luasnya area perkebunan sawit. Program pemerintah terus mendukung perkembangan perkebunan kelapa sawit di Indonesia, khususnya perkebunan sawit rakyat. KSU Sari Bumi sebagai koperasi kelapa sawit berencana memproduksi produk baru yaitu minyak sawit merah (RPO) sebagai suplemen kaya provitamin A. Oleh karena perlu dilakukan studi kelayakan usaha minyak sawit merah (RPO) di KSU Sari Bumi. Metode penelitian yang digunakan pada penelitian ini meliputi analisis kelayakan aspek finansial, aspek non finansial dan analisis nilai pengganti. Hasil analisis aspek non financial menunjukan skenario pertama KSU Sari Bumi layak dijalankan. Hasil analisis financial menunjukan Nilai NPV diperoleh sebesar Rp1.930.369.603,54 sedangkan perhitungan Net B/C menghasilkan nilai 1,44. Perhitungan IRR menghasilkan nilai 20,52% serta Payback Period 5 Tahun 3 bulan 13 hari. Hasil analisis nilai pengganti menunjukan penurunan harga jual dapat ditoleransi hingga batas perubahan mencapai 19,2%, penurunan produksi RPO dapat ditoleransi hingga batas perubahan mencapai 19,2% sedangkan perubahan biaya operasional dapat ditoleransi kenaikannya hingga 37,1%. Hal tersebut menunjukan bahwa usaha KSU Sari Bumi dapat menghadapi kondisi tersebut dan dapat dikatakan layak, Indonesia as the largest producer of palm oil supported by the largest palm plantation. Government programs also supported the development of palm plantations, especially smallholder palm plantations. KSU Sari Bumi is a palm oil cooperative that plans to produce red palm oil (RPO) as provitamin A supplement. There fore it is necessary to do business feasibility study of RPO in KSU Sari Bumi. The research methods used feasibility analysis of non-financial aspects, financial aspect and switching value analysis. The result of nonfinancial aspect showed that first scenario of KSU Sari Bumi is worth to do. The result of financial aspects showed NPV value is Rp1.930.369.603,54, Net B / C value is 1,44; IRR value is 20,52%, Payback period is 5 Years 3 Month. The results of the switching value analysis showed a decrease in selling price by 19,2%, a decrease in production capacity by 19,2%, and an increase in production costs by 37,1%. When KSU Sari Bumi faced with that conditions, KSU Sari Bumi still said it feasible.
Keyword: Business Feasibility, KSU Sari Bumi, Palm Oil, Red Palm Oil

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.
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