Judul: Penentuan Premi Optimum pada Portofolio Heterogen dengan Argumen Geometris Sederhana
Abstrak: Insurance is a process of risk transfering from insureds to insurers. Insureds pay premium as a transfered risk. Amount of premium satisfies the agreement of insureds and insurers in insurance policy. In heterogeneous portfolio, there are more than one classes based on risk level for policyholders. The risk level of each class is different. For each class, it has to be determined the optimal premium based on risk level. The determining of optimal premium is to avoid insurance company from bankrupt, but it does not incriminate policyholder. Optimal premium can be determined by using simple geometrical arguments. The method for determining premium is minimizing a weighted squared difference of the total premium and total claim. From this, we will get formula for pricing optimal premium for each class in heterogeneous portfolio. The formula can be used to determine allocations for pricing of optimal premium, which are uniform allocation, semi-uniform allocation, expected principle, and variance principle.
Keyword: simple geometrical arguments, optimal premium, heterogeneous portfolio

Judul: Penyelesaian Masalah Dual untuk Menentukan Premi Optimum pada Portofolio Heterogen
Abstrak: Insurance is an agreement between two parties or more in which the insurer binds himself to the insured by receiving insurance premium to give back to the insured because of possible loss that may occur. The amount of premium is arranged and endorsed by two parties in an insurance policy. The problem that the insurance company has to be faced is the possibility that the claim submitted by the insured is bigger than the premium they got from the insured. If the total claim exceeds the total premium, the company will suffer bankruptcy. In this case it needs a proper formulation that can determine the optimum premium by solving the dual problems from the problems of minimizing a weighted squared difference of the total premium and total claim. The optimum solution that has been gotten from dual problem can be used to determine the optimum premium of the heterogenenous portfolio classification. From that formulation, allocation of optimum premium can be determined for each of uniform allocation, semiuniform, the expected value principle and the variance principle.
Keyword: Bogor Agricultural University (IPB), the optimum premium, premium allocation, heterogeneous portfolio, dual problem

Judul: Pengaruh Iba dan Jumlah Daun Stek terhadap Pertumbuhan Bibit dan Hasil Tanaman Stevia rebaudiana Bertoni M.
Abstrak: Percobaan diLakukan di Kebun Percobaan Darmaga IV Bogor, mulai tanggal 20 September 1985 sampai tanggal 3 Maret 1986. Percobaan ini bertujuan untuk mengetahui pengaruh konsentrasi IBA dan jumlah daun stek terhadap pertumbuhan bibit serta pengaruhnya terhadap pertumbuhan dan hasil tanaman Stevia rebaudiana Bertoni M. Bahan yang digunakan stek pucuk batang Stevia rebaudian Bertoni M. klon EPP 72 yang berasal dari kebun induk Ciliwung Bogor. Stek ditanam pada bak stek berukuran 30 cm x 40 cm dengan media campuran pasir dan tanah (1 : l) dan ditutup rapat dengan sungkup plastik yang ternaungi. Bibit ditanam pada polybag berukuran 30 cm x 40 cm yang ditempatkan pada rumah kaca.
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