$1.$ Use the Worksheet template called "Question $2"$ for this question. The Uptown Bar and Grill serves Rainwater draft beer to its customers. The daily demand for the beer is normally distributed, with an average of $18$ gallons and a standard deviation of $4$ gallons. The lead time required to receive an order of beer from the local distributor is normally distributed, with a mean of $3$ days and a standard deviation of $0\mathrm{.}8$ day.

a$.$ Assuming a $90\%$ service level is required:

$1.$ Calculate the safety stock

ii$.$ Calculate the reorder point.

b$.$ Assuming a $95\%$ service level is required:

$1.$ Calculate the safety stock.

ii$.$ Calculate the reorder point.