Chicago's Hard Rock Hotel distributes a mean of $800$ 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.

Part $2$

$$a$)$ What is the reorder$$ point? $\_\_\_\_$ towels $($round your response to the nearest whole$$ number$).$

Part $3$

$$b$)$ What is the safety$$ stock? $\_\_\_\_\_\_$ towels $($round your response to the nearest whole$$ number$).$