Applying Linear Programming for Profit Maximization in Furniture Production

Linear programming can be effectively applied to solve practical business problems, including maximizing profits in furniture production. This paper aims to use the simplex method of linear programming to find the optimal production mix of dining tables, chairs, sofa sets, dressing tables, shoe racks, and beds that maximizes profit while adhering to limitations on materials like wood, fabric, paint, Sun mica, stuffing, accessories and labor cost per unit. The goal is to achieve maximum profit with minimal investment. This method is highly effective in optimizing linear objectives, making it ideal for profit maximization. Key findings indicate the production levels needed to achieve maximum profitability, offering actionable insights for balancing material usage with revenue goals. The conclusions emphasize the importance of linear programming in operational decision-making, demonstrating its potential to enhance profit margins in retail and manufacturing sectors facing similar resource limitations.