Question - Batch Size Decision and Constraints

At Dalton Playground Equipment, the powder-coating process is a bottleneck. Typically, it takes approximately two hours to switch between jobs. The time is spent cleaning nozzles and paint tanks and recalibrating equipment. Currently the company runs relatively small batch sizes through the process but is considering increasing them to reduce setup time.

With small batch sizes, powder coating can process approximately 2,300 units per 8-hour shift, and products have an average contribution margin of $52. With large batch sizes, powder coating can process approximately 2,940 units per 8-hour shift.

Calculate the additional profit associated with running larger batch sizes through the powder-coating process.