$3\mathrm{.}2.$ A golf specialty wholesaler operates $50$ weeks per year. Management is trying to determine an inventory policy for its $1-$irons, which have the following characteristics:

Demand $(D)=2,000$ units$/$year Demand is normally distributed. Standard deviation of weekly demand $=3$ units. Ordering cost $=$$$\frac{40}{?}$ order. Annual holding cost $(H)=$$$\frac{5}{?}$ units. Desired cycle service level $=90$ percent. Lead time $(L)=4$ weeks

a$.$ If the company uses a periodic review system, what should $P$ and $T$ be$?$ Round $P$ to the nearest week.

b$.$ If the company uses a continuous review system, what should $R$ be$?$