By identifying the most cost-effective distribution of resources, including personnel, materials, and machine time, linear programming can maximize production planning in a manufacturing system and achieve output targets. LP models assist firms in determining the best production mix by specifying an objective function, such as maximizing output or reducing production costs, together with constraints, such as capacity limitations, raw material availability, and demand needs. This guarantees efficient use of resources, prevents bottlenecks, and aligns production schedules with demand, all of which increase productivity and reduce costs.