The operations manager for Shadyside Savings and Loan orders cash from her home office for her very popular "BIG BUCKS" automated teller machine, which only dispenses $$100$ bills. She estimates that this machine dispenses an average of $12,500$ bills per month, and that carry... a bill in inventory costs $10\%$ of its value annually. She know that each order for these bills costs $$300$ for clerical and armored car delivery costs and that order lead time is six days. Assuming a $30-$dqy month, if she were to order $6,000$ bills at a time, what would be length of an order cycle?