A company operating under a continuous review system has an average demand of $50$

units per week for the item it produces. The standard deviation in weekly demand is $20$

units. The lead$-$time for the item is six weeks, and it costs the company $$30$ to process

each order. The holding cost for each unit is $$10$ per year. The company operates $52$

weeks per year. What is the reorder point if the company decides to implement a $95$ percent cycle$-$service level