Manufacturing while gaining the highest profit has always been the ultimate target in any types of industry, including automotive. This is where mathematical optimization models play a crucial role for optimizing various industrial linear problems, especially when it comes to profit maximization or cost reduction. To accomplish this, linear Programming (LP) is exploited for solving budgetary tasks in the industry, by providing visualized-effectual operation figures. Presented as a mathematical model, it is one of the most significant mathematical models available to achieve the main objective of reducing budget slacks and maximizing profit in Vehicle Lighting Company. Finding the correct production tune of all six Original Equipment Manufacturer (OEM) products manufactured by the company takes into consideration, five objective constraints and nine slack variables constraints. Towards the end, the successfully established LP Model is presented where model recommends how production quantity planning should be tuned so that maximum profit is achieved. With the ability to identify priority rating for each of the six products, it is indeed a very useful tool and can be treated as a concrete justification for decision making, leading to the best profit and cost reduction optimization for the company management.
