Jazmine, the Procurement Manager for Scratches Inc., orders $1600$ bags of coffee beans at a time. Scratches Inc. works $266$ per year. Bags of coffee beans has a demand of $95858$ per year. The holding cost for a single bag of coffee beans is $6\mathrm{.}71$ per year. From the time Jazmine places an order for coffee beans until it reaches the doorstep of Scratches Inc. it takes $6$ days. There is an order cost of $14\mathrm{.}61$ every time Jazmine places an order for coffee beans. How many bags of coffee should there be in inventory when Jazmine places an order for $1600$ bags of coffee beans?