Sarah$$s Organic Soap Company makes organic liquid soap. One of the raw materials for her soaps is organic palm oil. She needs $500$ kilograms of palm oil per day on average with a standard deviation of $500.$ The supplier charges a $$54$ delivery fee per order $($which is independent of the order size$)$ and the price to purchase is $$4\mathrm{.}25$ per kilogram. Sarah$$s annual holding cost is $$0\mathrm{.}64.$ Assume she operates and sells five days per week, $52$ weeks per year. Her Lead time is one week and she desires a service level of $95\%($Z$=1\mathrm{.}64)$

At what inventory level should she place an order? Answer to nearest kilogram