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Eksponensial
Published by Universitas Mulawarman
ISSN : 20857829     EISSN : 27983455     DOI : https://doi.org/10.30872/
Core Subject : Economy, Science, Education,
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics Other
Jurnal Eksponensial is a scientific journal that publishes articles of statistics and its application. This journal This journal is intended for researchers and readers who are interested of statistics and its applications.
Arjuna Subject : Matematika - Statistik dan Probabilitas
Articles 12 Documents
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Search results for , issue "Vol. 13 No. 1 (2022)" : 12 Documents clear
Penyelesaian Masalah Pemrograman Kuadratik Menggunakan Metode Beale Erlina, Erlina; Syaripuddin, Syaripuddin; Amijaya, Fidia Deny Tisna
EKSPONENSIAL Vol. 13 No. 1 (2022)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30872/eksponensial.v13i1.889

Abstract

Quadratic programming is a special form of nonlinear programming which has the general form of the objective function in the form of a quadratic functions and the constraints in the form of linear functions. One of the methods used to solve the quadratic programming model is Beale’s method. This method is a modification of the simplex method for linear programming problems. This study aims to determine the optmal results of paddy production data in Balikpapan city using Beale’s method. The quadratic programming model was formed using the least squares method with the objective functions by selecting two types of plants,namely lowland paddy and upland paddy. Furthermore, the quadratic programming model formed that is formed is solved using Beale’s method. The data used is data on the paddy production of balikpapan city in 2005-2019. Based on the calculatios, the objective function is with the constraint functions and . After calculating using Beale’s method, the optimal result for the maximum yield of lowland paddy and upland paddy is quintals with a harvested area of hectares of lowland paddy and a harvested paddy of hectares of upland paddy.
Penentuan Cadangan Premi Asuransi Jiwa Dengan Metode Fackler Faturachman, Faturachman; Suyitno, Suyitno; Rizki, Nanda Arista
EKSPONENSIAL Vol. 13 No. 1 (2022)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30872/eksponensial.v13i1.876

Abstract

Insurance is an agreement between two parties, where one party is obliged to pay and the other party has the obligation to provide compensation to the premium payer if something happens to the party in accordance with the agreement that has been made. The main problem faced by insurance companies is that the fees paid through premiums are not sufficient to finance compensation payments at the beginning of the policys, To overcome the shortage of costs the insurance company must have a reserve fund called a premium reserve. The purpose of this study was to determine the reserve for term, endowment and whole life insurance premiums using the Fackler method. The variables used in this study are the customer's age, gender, payment term, interest rate and the sum insured. In this study, premium reserves were calculated for participants aged 30 years, men and women, with a payment term of 30 years, an interest rate of 6.75%, and an insurance value of Rp. 100,000,000. Based on the calculation results, the reserve value of term life insurance premium for customers with 30 years of age and the insurance period of 30 years increases at the beginning of the year to the 21st year, after which it decreases until the reserve at the end of the 30th year, the value of the lifetime insurance premium reserve. life for customers with 30 years of age always increases from the beginning of the year to the last year where the payment for male customers is Rp. 93,176,962 and women in the amount of Rp. 93,296,217,156250. The reserve value of dual-purpose life insurance premiums for customers with 30 years of age and insurance period of 30 years always increases from the beginning of the year to the end of the year of payment of Rp. 100,000,000. The large difference in premium reserves for men and women is due to the higher chance of life for women than men.

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