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 $52$ weeks in a year. Refer to the standard normal table for$$ z$-$values.

Demand $=91$ comma $000$units$/$year

Ordering cost$=$$$38\mathrm{.}50/$order

Holding cost$=$$$4\mathrm{.}50/$unit$/$year

Average lead time$=1$ week

Standard deviation of weekly demand$=250$ units

a$.$ The economic order quantity for this time is units?

b$.$ If Petromax wants to provide a $99\%$ service$$ level, the safety stock is$?$ and the reorder point is$?$