The Operations Manager for Shadyside Savings & Loan orders cash from her home office for 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 thirty-day month, if she were to order 6,000 bills at a time, what would be the length of an order cycle?