A gourmet coffee shop in downtown San Francisco is open $200$ days a year and sells an average of $76$ pounds of Kona coffee beans a day. $($Demand can be assumed to be distributed normally with a standard deviation of $16$ pounds per day$).$ After ordering $($fixed cost $=$ $$15$ per order$),$ beans are always delivered from Hawaii in exactly $4$ days. Per$-$pound annual holding costs for the beans are $$3.$ Assume that management has specified that no more than a $1\%$ risk of stockout during lead time is acceptable. What is the annual holding cost of maintaining the level of safety stock needed to support a $1\%$risk$?$