Question: The average demand for a particular part is 45 units a day. It costs $33 to place an order, and the inventory carrying cost is

The average demand for a particular part is 45 units a day. It costs $33 to place an order, and the inventory carrying cost is $20 per unit per year. Assume 250 working days a year. The part requires a 95% of service level with a safety stock requirement of 19 units. What is the average inventory of the part at any given time?

Numbers only, keep 3-decimal if not exact, either round up or down is ok.

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