Petromax Enterprises uses a continuous review inventory control system for one of its SKUs. The following information is available on the item. The firm operates $48$ weeks in a year. Refer standard normal table for z$-$values.

$>$ Demand $=52,000$ units$/$year

$>$ Ordering cost $=$$$32\mathrm{.}5/$ order

$>$ Holding cost $=$$$3\mathrm{.}50/$unitlyear

$>$ Average lead time $=4$ weeks

$>$ Standard deviation of weekly demand $=250$ units

a$.$ The economic order quantity for this item is units. $($Enter your response rounded to the nearest whole number.$)$