Joe Henry's machine shop uses $2$ comma $470$ brackets during the course of a year. These brackets are purchased from a supplier $90$ miles away. The following information is known about the brackets: Annual demand $2$ comma $470$ Holding cost per bracket per year $ $1\mathrm{.}65$ Order cost per order $ $19\mathrm{.}25$ Lead time $2$ days Working days per year $250$