Eagle Company faces demand for their new sandals at a constant rate of $10,000$ units per week. It costs WAM $$35$ to process an order to replenish inventory and $$5$ per unit per year to carry the item in inventory. Inventory is received $9$ working days after an order is placed. No backordering is allowed. Assume $52$ working weeks a year and $5$ work days per week. The demand for WAM's yoga pants is not constant. In order to include demand variability, the standard deviation of daily demand was determined to be $215$ units.

How much additional cost is required to provide a service level of $95\%($z $=1\mathrm{.}645)?$

Note: When calculating safety stock, round up to whole number before calculating cost. This problem is dynamic.