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 $42$ gallons of Orange Paint every week $($for $52$ weeks per year$).$ They purchase Orange Paint from their supplier at a price of $$2\mathrm{.}50$ per gallon. $[$The company does not hold Safety Stock$]$

It takes $1\mathrm{.}50$ weeks to receive an order from the supplier.

Administrative costs for Ordering paint have been estimated to be $$20$ per order.

Holding Costs $=25\%$ of the purchase price per gallon per year.

What is the most Economic Order Quantity?

$\backslash$table$[[$Reorder Point, ROP $=dL+SS,$Service Level,$z$ Value$],[,99\mathrm{.}99\%,3\mathrm{.}719],[d=$ Average Demand Rate per Time Period,$99\mathrm{.}90\%,3\mathrm{.}090],[D=$ Demand Rate per Year,$99\mathrm{.}00\%,2\mathrm{.}326],[L=$ Average Lead time $($time periods$),\backslash$table$[[95\mathrm{.}00\%$