Optimasi Produksi Payung Geulis Menggunakan Model Program Linier pada Pengrajin Payung Geulis di Kota Tasikmalaya

Abstract

The production of payung geulis, a traditional craft from Tasikmalaya, is still largely carried out intuitively without considering the efficiency of capital use, raw materials, and working time. This condition often leads artisans to inaccuracies in determining production quantities, resulting in profits that are not yet optimal. This study aims to determine the most profitable production strategy through the application of a linear programming model using the Simplex method. A mathematical modeling approach was employed to describe the resource constraints faced by artisans, including capital limitations, raw material availability, and production capacity. Data were collected through direct observation and interviews, then formulated into decision variables representing the number of large, medium, and small umbrellas to be produced. The objective function was designed to maximize profit, while the constraints were developed based on material consumption, capital allocation, and production duration. The results indicate that the optimal solution is dynamic and depends on the profit per unit of each product type. In the first scenario, with a particular set of constraints, a maximum profit of Rp 6,000,000 is achieved when 400 large umbrellas are produced. In the second scenario, with a different profit structure, the maximum value of Rp 34,800,000 is obtained when production is entirely focused on small umbrellas totaling 2,320 units. These differences demonstrate that linear programming can determine the most efficient production strategy under varying resource conditions. Thus, the Simplex method proves to be an effective decision-support tool for artisans seeking to enhance profitability in a rational and measurable manner.