The Operations Manager for Shadyside Savings & Loan orders cash from her home office for her very popular "BIG BUCKS" automated teller machine, which only dispenses $$100$ bills. She estimates that this machine dispenses an average of $12,500$ bills per month, and that carrying a bill in inventory costs $10$ percent of its value annually. She knows that each order for these bills costs $$300$ for clerical and armored car delivery costs, and that order lead time is six days. Assuming a $30-$day month, if she were to order $6,000$ bills at a time, what would be the dollar value of the average inventory level?

Multiple Choice

$$600,000$

$$300,000$

$$6,000$

$$3,000$

$$12,500$