Suppose That a Plant Manager Uses Economic Batch Sizes for Production

Suppose that a plant manager uses economic batch sizes for production of a product. Suppose further that the setup cost is $50 per batch, the holding cost per unit per year is $10, the annual demand is 30,000 units, the firm operates (and experiences demand) 300 days per year, and the production rate per day is 1000 units. What will be the maximum inventory level that this product ever reaches?

A) 577
B) 30
C) 519
D) 27,000
E) 58