Sarah$$s Organic Soap Company makes organic liquid soap. One of the raw materials for her soaps is organic palm oil. She needs $1,300$ kilogram of palm oil per day on average. The supplier charges a $$70$ delivery fee per order $($which is independent of the order size$)$ and $$4\mathrm{.}25$ per kilogram. Sarah$$s annual holding cost is $25$ percent. Assume she operates and sells five days per week, $52$ weeks per year.

If Sarah wants to minimize her annual ordering and inventory holding costs, how much palm oil should she purchase with each order $($in kilogram$)?$