Ni Wayan Puji Efpryani Wayan

System Modelling to Optimize the Number of Production of Men's Bags and Women's Bags to Obtain Maximum Profit in ABC Karawang Convection using Linear Programming

Introduction

System modelling to optimize the number of production of men's bags and women's bags to obtain maximum profit in abc karawang convection using linear programming. Optimize men's and women's bag production at ABC Karawang Convection for maximum profit using Linear Programming. Achieve optimal units (1 men's, 82 women's) yielding IDR 3.74M profit.

Abstract

This study aims to optimize the production quantity of men's and women's bags to achieve maximum profit at ABC Karawang Convection. The company faces challenges in determining the ideal production quantity due to limited resources, resulting in unfulfilled market demand and suboptimal profit. The research method applied is Linear Programming using the Simplex approach, implemented through the CPLEX Solver software. The results indicate that the optimal solution is achieved by producing 1 unit of men’s bag and 82 units of women’s bags, yielding a maximum profit of IDR 3,740,000. This model provides an efficient production strategy and can serve as a decision-making foundation for production planning.

Review

The paper addresses a highly relevant problem for manufacturing businesses: optimizing production to maximize profit under resource constraints. The title clearly outlines the scope and methodology, indicating a focused application of quantitative techniques. The study's objective to optimize the production of men's and women's bags at ABC Karawang Convection using Linear Programming is well-defined and pertinent given the challenges of unfulfilled market demand and suboptimal profit. The chosen methodology, Linear Programming with the Simplex approach implemented via CPLEX Solver, is a standard and robust tool for this type of optimization problem, suggesting a sound technical foundation for the research. The research effectively identifies an optimal production strategy, proposing the production of 1 unit of men's bags and 82 units of women's bags to achieve a maximum profit of IDR 3,740,000. While the numerical solution demonstrates the application of the model, the abstract raises some immediate questions for a more comprehensive review. The remarkably low production quantity for men's bags (1 unit) compared to women's bags (82 units) is striking and warrants further explanation within the full paper regarding the underlying constraints, profit margins, or resource consumption profiles that lead to such a skewed output. Understanding the specific nature of the 'limited resources' and how they are incorporated into the LP model would also significantly enhance the interpretation of these results. Overall, this study offers a valuable proof-of-concept for applying linear programming to solve real-world production optimization challenges in the garment industry. The proposed model provides a clear, actionable decision-making foundation for ABC Karawang Convection, moving them towards more efficient resource allocation and increased profitability. To strengthen the paper's impact and generalizability, future iterations or the full manuscript should elaborate on the model's assumptions, the sensitivity of the optimal solution to changes in input parameters (e.g., resource availability, demand, unit profits), and discuss potential implementation challenges. Such insights would transform this application into a more robust framework for similar enterprises facing comparable production dilemmas.

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