Chicago$$s Hard Rock Hotel distributes a mean of $1,000$ bath towels to guests at the pool. The demand is normally distributed with a standard deviation per day of $100$ towels, based on occupancy. The laundry firm which has the linens contract require a $2-$day lead time. The hotel expects an $98\%$ service level to satisfy its customers. a$)$ What is the ROP? What is the safety stock? b$.)$ Suppose the manager is asked to reduce the above safety stock by $50\%.$ If

she does so$,$ what will be the new service level?