A company begins a review of ordering policies for its continuous review system by checking the current policies for a sample of SKUs. Following are the characteristics of one item. Use a standard normal table for z$-$values$.$

$$ Demand $($D$)=100$ units$/$week $($Assume $52$ weeks per year$)$

$$ Ordering and setup cost $($S$)=$ $$75/$order

$$ Holding cost $($H$)=$ $$13\mathrm{.}25/$unit$/$year

$$ Lead time $($L$)=4$ weeks

$$ Standard deviation of weekly demand $=19$ units

$$ Cycle$-$service level $=90$ percent

What is the annual ordering cost? $($Enter your response rounded to the nearest whole dollar.$)$