The demand for motorcycle tires imported by Dixie Import$-$Export is $49,000/$year and may be assumed to be uniform throughout the year. The cost of ordering a shipment of tires is $$360,$ and the cost of storing each tire for a year is $$2.$ Determine how many tires should be in each shipment if the ordering and storage costs are to be minimized. $($Assume that each shipment arrives just as the previous one has been sold.$)$

tires per order