Judul: Analisis Biaya dan Kelayakan Pabrik Kelapa Sawit Berangir PTPN IV (Persero) di Kabupaten Labuhan Batu Utara
Abstrak: Pabrik Kelapa Sawit Berangir PTPN IV (Persero) merupakan salah satu unit dari PT. Perkebunan Nusantara IV (Persero). Tujuan penelitian ini ialah menganalisis biaya dan kelayakan usaha Pabrik Kelapa Sawit Berangir PTPN IV (Persero) di Kabupaten Labuhan Batu Utara dan menganalisis sensitivitas terhadap beberapa kondisi. Metode penelitan ini adalah pengumpulan data dan pengolahan data. Titik impas Pabrik Kelapa sawit Berangir PTPN IV (Persero) dicapai pada produksi 52 447 552.45 kg TBS/tahun. Analisis kelayakan menghasilkan nilai NPV adalah Rp. 269 716 581 186, nilai IRR adalah 67.04%, dan nilai BC Ratio adalah 4.67. Ini berarti, Pabrik Kelapa Sawit Berangir PTPN IV (Persero) layak. Analisis sensitivitas menunjukkan bahwa akan terjadi perubahan tingkat kelayakan jika terjadi kenaikan harga TBS sebesar 20%, penurunan harga CPO sebesar 15%, kenaikan biaya tidak tetap sebesar 20%, penurunan jumlah TBS yang diolah per tahun sebesar 50%, atau kenaikan harga TBS sebesar 15% dan penurunan jumlah TBS yang diolah per tahun sebesar 8%., Palm Oil Mill Berangir of PTPN IV (Persero) is one of PT. Perkebunan Nusantara IV (Persero) units. The objectives of this reaserch were to analyze the cost and feasibility of palm oil mill Berangir of PTPN IV (Persero), Labuhan Batu Northern District and analyze sensitivity to several conditions. The method of this reaserch are collecting data and data processing. Palm Oil Mill Berangir of PTPN IV (Persero) breakeven point is 52 447 552.45 kg FFB/year. Analysis of the feasibility represents NPV is Rp. 269 716 581 186, IRR is 67.04%, and BC Ratio is 4.67. It means, Palm Oil Mill Berangir of PTPN IV (Persero) was feasible. The sensitivity analysis indicates that changes will occur if the level of eligibility if FFB price increases by 20%, CPO prices decline by 15%, increase in variable costs by 20%, decrease the amount of processed FFB per year by 50%, or FFB price increases of 15% and a decrease in the amount of FFB processed per year by 8%.
Keyword: Pabrik Kelapa Sawit Berangir PTPN IV (Persero), nalisis biaya dan kelayakan, analisis sensitivitas

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: Grup dan Homomorfisma Grup pada Rubik Revenge
Abstrak: Rubik cube is a kind of puzzle game. A player must arrange rubik sides, which have been disordered, back to the position where every side has the same colour. This paper does not focus on the settlement solution, but instead on proving the existence of a group homomorphism between rubik movement group and S96 symmetric permutation group in rubik revenge. Firstly, it has been proved that rubik movement set is a group. Then, it also has been proved that the M set, which contains numeric labels of 1 until 96 in cubinos sides, is S96 symmetric permutation group.
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