Using a computerized Inventory Management System, a Paint Supply Store franchise continuously monitors the inventory of all the paint located at each of their $15$ stores and their distribution warehouse. The Paint Supply Store franchise sells an average of $32$ gallons of Red Paint every week $($for $52$ weeks per year, Standard Deviation of the Demand $=4$ gallons$).$ They purchase Red Paint from their supplier at a price of $$2\mathrm{.}00$ per gallon.

It takes $1\mathrm{.}25$ weeks to receive an order from the supplier.

Administrative costs for Ordering paint have been estimated to be $$15$ per order.

Holding Costs $=20\%$ of the purchase price per gallon per year. How much Safety Stock should the company hold to have a Service Level of $99\mathrm{.}0\%?$