am $3$ ver.A$-$ Production & Operations Management

A store has collected the following information on one of its products:

Demand $=10,000$ units$/$year

Standard deviation of weekly demand $=25$ units

Ordering costs $=$$$\frac{30}{?}$ order

Holding costs $=$$$\frac{4}{?}$ unit$/$year

Cycle$-$service level $=85\%$

Lead$-$time $=2$ weeks

Number of weeks per year $=50$ weeks

For the most recent review, an inventory clerk checked the inventory of this item and found $200$ units. There were no scheduled receipts or backorders at the time.

b$.$ The store decided to change to the periodic review $(P)$ system to control the item's inventory. When and how many units should be ordered?