A store is having a difficult time keeping a particular hat in stock, especially during the time between placing and receiving orders from the supplier. The store manager wants to make sure that customer orders are filled at the time customers shop at least $99\%$ of the time. She has demand data for the hat for a $30$week period $($demand includes actual sales plus a count of the times the hat was requested but not available, and an estimate of the number of times a customer wanted the hat when it was unavailable but did not ask for it$.)$