The Operations Manager for Shadyside Savings $\backslash$& Loan orders cash from her home office for her very popular "BIG BUCKS" automated teller machine, which only dispenses $\backslash (\backslash$$ $100\backslash )$ 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 day month, what is the economic order quantity?