Question $7,$ Problem $12\mathrm{.}46$

HW Score: $79\mathrm{.}23\%,7\mathrm{.}92$ of $10$ points

Part $2$ of $2$

Points: $0$ of $1$

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 $100$ towels per day, based on occupancy. The laundry firm that has the linen contract requires a $3-$day lead time. The hotel expects a $96\%$ service level to satisfy high guest expectations. Refer to the standard normal table for $z-$values.

a$)$ What is the reorder point? $2,703$ towels $($round your response to the nearest whole number$).$

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