chicago's hard rock hotel distributes a mean of $1,000$ bath towels per day to guests at the pool and in their rooms. this demand is normally distributed with a standard deviation of $100$ towels per day, based on occupancy. The laundry firm that has the linen contract requires a $2-$day lead time. The hotel expects a $98\%$ service level to satisfy high guest expectations. what is the reorder point? what is the safety stock? suppose the manager is asked to reduce the above safety stock by $50\%.$ if she does so$,$ what will be the new service level?