roy Enterprises uses a continuous review inventory control system. The firm operates $50$

weeks per year, with an annual demand of $50,000$ units, an ordering cost of $$35$ per order, a

holding cost of $$1$ per unit per year, and a lead time of $3$ weeks: $(10$ points$)$

$($a$)$ How many units should be ordered at a time $($rounded to the nearest unit$)?$

$($b$)$ What is the reorder point?