Judul: Optimalisasi input produksi budidaya dalam pendederan ikan gurame Osphronemus gouramy di Desa Petir Kecamatan Dramaga Kabupaten Bogor
Abstrak: Increased production of gurame, especially in the area the Petir Village every year have ups and downs. The purpose of this study to apply the technical production of gurame to optimalization nursery and financial analysis to generate optimal profits. Method used is a case study with intake sample method in the form of purposive sampling. Data Analyse use Cobb-Douglas method and finansial analysys. Estimation of efficiency of input use the optimal input obtained is 42 ekor/m2 for fish seed, 0,525 kg/m2 for urea, 0,021 kg/m2 for lime, 0,915 for postal and 0,329 kg/m2 for flour pellets. Analyse the production of gurame at optimal condition is R/C 1,78, Pay Back Period 0,58 year and break Even Point to Rp 16.605.224 and 11.319 fish seed. Investment analysis criteria with third scenario represent best scenario with value NPV equal to 175.102.279, Net B/C 6,81 and IRR equal to 144 %. Sensitivity analysis by changing the fish seed gurame price by 20% shows that the business is still viable to run.
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Judul: Efisiensi penggunaan input produksi pada pembesaran ikan gurame Osphronemus gouramy di Kecamatan Dramaga Kabupaten Bogor
Abstrak: Bogor Regency especially Dramaga Disrict has a big potencial in gouramy rearing. Unfortunatilly, production factor sach as seed density, feed, sente leaves, manure, and labor were used in no oftimal pattern. Purposive sampling was used in this research which was analized by Cobb Douglas production function method and financial feasibility in gouramy rearing activity. The showed that optimal input were 7 fish/m2 to stock, 2,2851 kg/m2 for pellets, 37,2989 kg/ m2 for sente, 6,6470 kg/ m2 fertilizer, 4,1502 hours/ m2 poud preparation, 8,2186 hours/m2 for maintenance. Analisis gouramy rearing business at optimal conditions reach R/C 1,20, Payback Period 3,2 years, and Break Even Point of 820 kg. Invesment criteria analysis with best scenario is owning land with value a NPV of Rp 517.669.132, Net B/C 3,48 and IRR of 56%. analysis Sensitivity with change Nprice of feed at 16 % indicating that effort still be competent to be run.
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Judul: Invers Drazin dari Matriks Toeplitz Singular
Abstrak: Matriks Toeplitz adalah matriks yang setiap unsur pada diagonal utama bernilai sama dan setiap unsur pada subdiagonal yang bersesuaian dengan diagonal utama juga bernilai sama. Matriks singular adalah matriks yang tidak bisa ditentukan inversnya. Akan tetapi, dapat diupayakan untuk ditentukan inversnya menggunakan invers matriks yang diperumum. Invers Drazin merupakan salah satu jenis invers matriks yang diperumum. Pada karya ilmiah ini ditentukan invers Drazin dari matriks Toeplitz singular dengan menggunakan metode Leverrier Faddeev. Kemudian, ditentukan invers Drazin dari matriks Toeplitz singular yang direpresentasikan sebagai penjumlahan segitiga bawah dan segitiga atas matriks Toeplitz berdasar pada teorema Gohberg dan Semencul., Toeplitz matrix is a matrix in with element on the main diagonal has the same value and on the subdiagonal corresponding to the main diagonal also has the same value. Singular matrix is a matrix that has no inverse. However, it can be attempted to determine the inverse using a generalized inverse matrix. Inverse Drazin is a type of generalized matrix inverse. This paper discussed the inverse Drazin for a singular Toeplitz matrix using the Leverrier Faddeev method. Then, the Drazin inverse of the singular Toeplitz matrix which is represented as a sum of products of lower and upper triangular Toeplitz matrix based on Gohberg and Semencul theorem.
Keyword: inverse Drazine, singular Toeplitz matrix