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 $4-$day lead time. The hotel expects a $99\%$ service level to satisfy

high guest expectations. Refer to the standard normal table for z$-$values.

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

Z$-$Table