$2.$ Mountain Mouse makes freeze$-$dried meals for hikers. One of Mountain Mouse's biggest customers is a sporting goods superstore. Every $5$ days, Mountain Mouse checks the inventory level at the superstore and places an order to restock the meals. These meals are delivered by UPS in $2$ days. Average demand during the reorder period and order lead time is $100$ meals, and the standard deviation of demand during this same time period is about $20$ meals.

a$.(**)$ Calculate the restocking level for Mountain Mouse. Assume that the superstore wants a $\backslash (90\backslash \%\backslash )$ service level. What happens to the restocking level if the superstore wants a higher level of service$-$say, $95\backslash \%?$

b$.(*)$ Suppose there are $20$ meals in the superstore when Mountain Mouse checks inventory levels. How many meals should be ordered, assuming a $9$o$\backslash \%$ service level?