The Operations Manager at SS&L is responsible for ordering cash for the $"$BBS$"$ ATM from her home office. This ATM exclusively dispenses $$100$ bills and is highly popular. She calculates that on average, the machine dispenses $12,500$ bills per month, with a holding cost of $10$ percent of the bill's value annually. Additionally, each order for these bills incurs $$300$ in clerical and armored car delivery expenses, with an order lead time of six days.

If she were to order $6,000$ bills at a time, what would be the dollar value of the average inventory level?

Question $53$ options:

$$12,000$

$$3,000$

$$6,000$

$$300,000$

$$600,000$