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 to the standard normal table for $z-$values.

$>$ Demand $=78,000$ units$/$year

$>-$ Ordering cost $=$$$30\mathrm{.}00/$order

$>$ Holding cost $=$$$\frac{4\mathrm{.}00}{?}$ unit$/$year

$>$ Average lead time $=4$ weeks

$>$ Standard deviation of weekly demand $=200$ units

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

b$.$ If Petromax wants to provide a $90\%$ service level, the safety stock is units $($enter your response rounded to the nearest whole number$)$ and the reorder point is

units $($enter your response rounded to the nearest whole number$).$