Judul: Clarification of Coconut Syrup with the Addition of Milk as a Binding Agent of Insoluble Materials
Abstrak: Produk sirup kelapa yang diproduksi oleh Koperasi W didistribusikan dan diekspor hingga ke luar negeri. Salah satu tantangan yang dihadapi pabrik adalah adanya endapan pada produk setelah penyimpanan. Upaya yang telah dilakukan yaitu menggunakan penyaring vakum dalam proses penyaringan, namun belum dapat menghasilkan sirup kelapa tanpa endapan. Proyek ini bertujuan mencegah terbentuknya endapan pada sirup kelapa selama penyimpanan produk setelah dikemas. Penghilangan endapan dilakukan menggunakan metode koagulasi-flokulasi dengan menambahkan koagulan berupa susu steril atau murni pada proses pemasakan nira, sehingga mempermudah proses penyaringan bahan yang tidak larut dalam nira kelapa. Penambahan susu 0,4% (v/v) pada pemasakan pertama nira tidak menghasilkan endapan, memiliki tingkat kesukaan panelis yang lebih tinggi pada uji organoleptik serta memiliki tingkat kekentalan dan proksimat yang tidak jauh berbeda dengan produk yang dihasilkan oleh pabrik. Kata kunci: endapan, koagulan, sirup kelapa, Coconut syrup products produced by the W Cooperative are distributed and exported overseas. One of the challenges facing factories is the presence of deposits on the product after storage. Efforts have been made, namely using a vacuum filter in the filtering process, but have not been able to produce coconut syrup without sediment. This project aims to prevent the formation of deposits in coconut syrup during product storage after packaging. The removal of precipitates is carried out using the coagulation-flocculation method by adding a coagulant in the form of sterile or pure milk in the sap cooking process, thus facilitating the process of filtering materials that are not soluble in coconut sap. The addition of 0.4% (v/v) milk in the first cooking of the sap did not produce a precipitate, had a higher level of preference by the panelists in the organoleptic test and had a viscosity and proximate level that was not much different from the product produced by the factory. Keywords: sediment, coagulant, coconut syrup
Keyword: sediment, coagulant, coconut syrup

Judul: Analysis of Changes in Coconut Syrup  Production Costs After Designing the Improvement of Coconut Liquid Sugar  (Syrup) Production Process
Abstrak: Sirup kelapa yang diproduksi oleh Koperasi W mulai didistribusikan dan diekspor, namun masih terdapat kendala berupa endapan pada sirup. Perbaikan proses produksi telah berhasil dilakukan untuk mengatasi endapan yang terbentuk pada produk akhir sirup kelapa dengan penambahan susu 0,4% (v/v) pada pemasakan pertama nira tidak menghasilkan endapan, memiliki tingkat kesukaan panelis yang lebih tinggi pada uji organoleptik serta memiliki tingkat kekentalan, kadar air dan proksimat yang baik. Perbaikan proses produksi sirup kelapa dengan penambahan bahan koagulan mempengaruhi harga jual produk sirup kelapa dan faktor biaya lainnya. Proyek ini bertujuan untuk menganalisis pengaruh perubahan biaya produksi terhadap faktor biaya setelah perbaikan proses produksi dengan penambahan bahan tambahan koagulan susu. Analisis biaya produksi dilakukan dengan analisis kuantitatif yaitu mengukur tingkat kelayakan sirup kelapa berdasarkan perubahan nilai Harga Pokok Penjualan (HPP) Produk, Break Even Point (BEP), Revenue Cost Ratio (R/C), Benefit-Cost Ratio (B/C) serta Payback Period dan analisis sensitivitas dengan asumsi faktor biaya bahan baku nira dan biaya bahan tambahan koagulan. Hasil analisis biaya menunjukkan (HPP) Produk meningkat menjadi Rp 34.276/botol, BEP yang harus dicapai sebanyak 7.590 botol, nilai R/C 1,17, nilai B/C 1,39 dan PBP selama 8,621 bulan. Nilai R/C dan B/C yang lebih besar dari 1 menunjukkan bisnis ini layak dijalankan selama usaha berjalan sesuai dengan asumsi dan parameter teknis yang ditentukan. Analisis sensitivitas yang dihitung pada beberapa faktor perubahan menunjukkan bahwa produksi gula cair (sirup) kelapa mengalami kerugian atau tidak layak untuk dilanjutkan pada keadaan kenaikan biaya bahan baku dan kenaikan biaya bahan koagulan secara bersamaan., The coconut syrup produced by W cooperative has begun to be distributed and exported, but there are still obstacles in the form of deposits in the syrup. Improvements in the production process have been successfully carried out to overcome the deposits formed in the final product of coconut syrup with the addition of 0.4% (v/v) milk on the first cooking of the sap which does not produce sediment, has a higher level of panelist preference in organoleptic tests and has a viscosity level. , moisture content and good proximate. Improving the coconut syrup production process with the addition of coagulant ingredients affects the selling price of coconut syrup products and other cost factors. This project aims to analyze the effect of changes in production costs on cost factors after improving the production process by adding milk coagulant additives. Production cost analysis is carried out by quantitative analysis, namely measuring the feasibility of coconut syrup based on changes in the value of the Product Cost of Goods Sold (HPP), Break Even Point (BEP), Revenue Cost Ratio (R/C), Benefit-Cost Ratio (B/C) and Payback Period and sensitivity analysis with the assumption of the cost of raw material sap and the cost of coagulant additives. The results of the cost analysis showed (HPP) the product increased to Rp. 34,276/bottle, the BEP to be achieved was 7,590 bottles, the R/C value was 1.17, the B/C value was 1.39 and the PBP was 8.621 months. R/C and B/C values greater than 1 indicate that this business is feasible to run as long as the business runs according to the assumptions and technical
Keyword: cost analysis, sensitivity analysis, coconut syrup

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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