Monthly demand for an inventory item is normally distributed with a mean of 30 units and a standard deviation of 6. Demand follows this distribution every month, 12 months a year. When inventory reaches a predetermined level, an order for replenishment is placed. The fixed ordering cost is $100 per order. The items cost $5 per unit and the annual inventory holding cost is 25 percent of the average value of the inventory. The replenishment lead time is exactly 3 months.

Determine the EOQ.