Judul: Process Design of Ginger Latte Ready to Drink in PT Fits Mandiri
Abstrak: Perkembangan industri minuman dalam beberapa tahun terakhir menunjukkan tren positif, salah satunya yaitu industri minuman herbal. Ginger latte merupakan salah satu produk inovasi dari PT Fits Mandiri yang berbahan dasar jahe, krimer, dan gula aren. Produk ini memiliki karakteristik total padatan terlarut 14,5, pH 6,23, viskositas 5,75 cP, dan densitas 1092 kg/m3. Namun, dalam pengembangan inovasi ini ditemukan permasalahan. Tujuan dari penelitian ini yaitu menentukan standarisasi proses dan juga spesifikasi bahan baku. Penentuan standarisasi proses produksi dilakukan dengan menghitung kecukupan panas dan pembuatan desain proses. Terdapat dua altenatif proses yang ditawarkan yaitu teknologi UHT-Hot filling dan juga retort. Proses dengan teknologi UHT - Hot fill dapat dilanjutkan jika produk lolos challenge test sedangkan proses dengan teknologi retort dapat langsung diterapkan tanpa melalui uji lainnya. Berdasarkan diskusi dengan mitra, teknologi proses yang dipilih yaitu menggunakan retort. Spesifikasi bahan baku ditentukan dengan cara diskusi bersama mitra dan juga studi literatur. Spesifikasi bahan baku yang ditentukan yang meliputi air dengan kualitas air minum, gula aren dengan titik kritis lolos saringan 200 mesh, krimer nabati yang mengandung lemak 35%, dan ekstrak jahe cair dengan brix 6o. Hasil uji coba ekstraksi jahe menghasilkan rendemen ekstrak jahe sebanyak 50% dengan brix 6o dan jumlah mikroba 4x103., The development of the beverage industry has shown a positive trend nowadays, one of those is the herbal drink industry. Ginger latte is an innovative product from PT Fits Mandiri which is made from ginger, creamer, and palm sugar. This product has the characteristics of total dissolved solids 14.5, pH 6.23, viscosity 5.75 cP, and density 1092 kg/m3. However, in the development of this innovation, problems were found. The purpose of this research is to determine the standardization of the process and the specifications of raw materials. Determination of the standardization of the production process is carried out by calculating the adequacy of heat and making process designs. There are two alternative processes offered, UHT-Hot filling technology and retort. The process with UHT - Hot fill technology can be continued if the product passes the challenge test, while the process with retort technology can be applied directly without going through other tests. Based on discussions with the stakeholder, the selected process technology is using retort. Specifications of raw materials are determined by discussions with stakeholders and the study of the literature. The specified raw material specifications are drinking water, palm sugar with a critical point passing through a 200 mesh filter, vegetable creamer containing 35% fat, and liquid ginger extract with 6o Brix. The trial of ginger extraction resulted in a 50% yield of ginger extract with Brix 6o and total microbes 4x103.
Keyword: ginger extract, hot filling, retort, UHT

Judul: Desain Perencanaan Produksi dan Pengadaan Bahan Baku Produk Ginger Latte Pada PT FITS Mandiri
Abstrak: Ginger Latte merupakan inovasi minuman herbal berbasis bahan alami seperti jahe dan gula aren dengan tambahan krimer. PT FITS Mandiri sebagai perusahaan yang bergerak pada bidang pengembangan produk sehat memiliki rencana untuk memproduksi dan memasarkan produk Ginger Latte secara luas. Oleh karena itu, dibuat suatu proyek desain pengembangan yang mencakup pengembangan produk, perancangan teknologi proses, desain manajemen produksi dan perencanaan strategi pemasaran dan distribusi. Desain manajemen produksi mencakup perencanaan penjadwalan produksi dan pengadaan bahan baku menggunakan metode Material Requirement Planning (MRP). Berdasarkan hasil perhitungan biaya persediaan bahan baku dengan aplikasi MRP yang dibuat dengan bantuan Excel, metode lotting MRP dengan biaya persediaan terendah adalah metode Economic Order Quantity (EOQ). Penilaian mitra terhadap aplikasi MRP dari hasil kuesioner menyatakan bahwa aplikasi mudah dipahami, mudah dinavigasikan, mudah digunakan dan sesuai dengan kebutuhan manajemen produksi., Ginger Latte is an innovative herbal drink based on natural ingredients such as ginger and palm sugar with the addition of creamer. PT FITS Mandiri as a company engaged in the development of healthy products has plans to produce and market Ginger Latte products widely. Therefore, a development design project was created which includes product development, process technology design, production management design and marketing and distribution strategy planning. Production management design includes production scheduling planning and raw material procurement using the Material Requirement Planning (MRP) method. Based on the results of calculating the cost of raw material inventory using the MRP application made with the help of Excel, the MRP lotting method with the lowest inventory cost is the Economic Order Quantity (EOQ) method. The company's assessment of the MRP application from the questionnaire results stated that the application was easy to understand, easy to navigate, easy to use and in accordance with production management needs.
Keyword: manajemen produksi, minuman herbal

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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