$5.$ Weekly demand for jeans at a Gap store is normally distributed, with a mean of $100$ and a standard deviation of $50.$ The supply plant takes three weeks to supply a Gap order. The store manager monitors its inventory continuously and reorders jeans when the available inventory drops below $350.$ How much safety stock does the store carry? What CSL does the store achieve? If the store manager wants to target a CSL of $95$ percent, how much safety inventory of jeans should the store carry? What should its ROP be$?$