Sam's Cat Hotel operates $52$ weeks per year, $7$ days per week, and uses a continuous review inventory system. It purchases Kitty Litter for $$16\mathrm{.}38$ per bag. The following information is available about these bags:

$\backslash$table$[[$Demand$,125$ bags$/$week$],[$Order Cost,$$75\mathrm{.}00$ per order$],[$Annual Holding Cost,$27\%$ of cost$],[$Desired Cycle$-$Service Level,$80\%$