A gourmet coffee shop in downtown San Francisco is open $200$ days a year and sells an average of $75$ pounds of Kona coffee beans a day.$($Demand can be assumed to be distributed normally with a standard deviation of $13$ 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$

e$)$ What is the safety stock needed to attain a $1\%$ risk of stockout during lead$$ time?

$$

enter your response here pounds $($round your response to two decimal$$ places$).$