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 $52$ gallons of Yellow Paint every week $($for $52$ weeks per year$).$ They purchase Yellow Paint from their supplier at a price of $$3\mathrm{.}00$ per gallonThe company does not hold Safety Stock takes $1\mathrm{.}75$ weeks to receive an order from the supplier Administrative costs for Ordering paint have been estimated to be $$25$ per order $.$ Holding Costs$=30\backslash \%$ of the purchase price per gallon per year At what inventory level should the company place an order?