Optimization maximum profit of production of rayon fabric using karush khun tucker method

Abstract

The purpose of this research is to get the maximum benefit from rayon fabric production at Amir Sentosa - Bali Garment. Type of production in the form of beach wear, beach cloth, bed sheet, and Mukena. The manufacturing process of this type of production takes different times and length of materials. Function objective is formed from the profit per unit of production type taking by the distributor, while the constraint is obtained from the time of manufacture per unit and the length of material per unit required. One-year data is divided into three quarters, so each quarter receives a different amount of time during working day. The data is processed using Karush Khun Tucker method. The result show that the fabric are able to produce 400 units for each of the beach wear, beach cloth and bed sheet, while Mukena can be produced at 4853 units with maximum profit of IDR 16,560,000 in the third quarters, this is mean that if the working hours are added, it will followed by the increasing number of production quantity.