Mandalika Mathematics and Educations Journal
Vol 7 No 4 (2025): Desember

Pemodelan Matematika Penentuan Komposisi Gizi Menu Makan Bergizi Gratis untuk Siswa Sekolah Dasar dengan Metode Simpleks

Susila Bahri (Unknown)
Vino Raditio Wibowo (Unknown)
Nisa, Alvi Khairin (Unknown)
Assyfa Razaqi (Unknown)
Mauriska Khairunnisa (Unknown)
Rini Zulkarman (Unknown)
Ahmad Naufal Hibatullah (Unknown)



Article Info

Publish Date
05 Dec 2025

Abstract

To address the issue of nutritional deficiencies among Indonesian children, the government implemented a Free Nutritious Meals (MBG) program that meets 30% of the Recommended Nutrient Intake (RNI) for one meal with five food combinations determined by the Ministry of Health. Research aims to determine the composition of the five food combinations and produce the minimum cost of MBG by constructing a linear programming mathematical model. The budget rules set by the government, along with the required amount of nutrition, were calculated as constraints in the mathematical model. The model, which minimizes the objective function subject to 11 nutritional constraints and one budget constraint, as well as non-negative sign restrictions, was solved using the Simplex Method. The model solution, obtained through several iterations for each combination, was generated using AtoZmath software. The results show that the cost of each combination meets the budget rules, and the minimum cost is in combination 1. Additionally, to ensure the budget costs in combinations 2-5 comply with the budget rules, fruit is excluded from the composition of these combinations.

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Journal Info

Abbrev

MANDALIKA

Publisher

Subject

Mathematics

Description

Mandalika Mathematics and Education Journal adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika FKIP Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun kajian ...