Continuing from example $4,$ it was observed that the daily demand during lead$-$time varies in such a way that it follows Norman distribution of mu $=35\mathrm{.}5$ and lambda $=81.$ The management wants to be at $90\%$ service level. The ordering cost, Co is $$150/$ order with perchase price of $$5\mathrm{.}00/$ yard with $10$ store$-$days of lead$-$time. Recall Cc $=$ $$0\mathrm{.}75$ per year per yard with D $=10,000$ yards per year. The facility operates $311$ days$/$year$.$ Determine the optimal order size, safety stock quantity, re$-$order point, and total inventory cost.