Elyssa's Elegant Eveningwear (EEE) needs to ship finished goods from its manufacturing facility to its distribution warehouse. The daily demand from the distribution warehouse is normally distributed with mean 1200 gowns, and standard deviation 300 gowns. It costs the distribution warehouse $0.5 for holding one gown for one day.

EEE set the critical ratio at 95%.

EEE uses a premium parcel service for the gown delivery, which requires an effective lead time of 5 days, i.e., L+1 = 5 days, and a $200 fixed shipment cost.

At the beginning of a day, there are 4000 units of inventory held on hand in the warehouse, and a total of 1500 unit in transit. How many inventory should be ordered?

Put 0 if you think no inventory should be ordered.

(Remember this is a (r,Q) problem, not an order-up-to problem)