Chicago's Hard Rock Hotel distributes a mean of $1$ comma $000$ 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$$ day, based on occupancy. The laundry firm that has the linen contract requires a $2-$day lead time. The hotel expects a $98\%$ service level to satisfy high guest expectations. Refer to the standard normal tableLOADING... for$$ z$-$values.

Part $2$

$$a$)$ What is the reorder$$ point?

$$

enter your response here towels $($round your response to the nearest whole$$ number$).$

Part $3$

$$b$)$ What is the safety$$ stock?

$$

enter your response here towels $($round your response to the nearest whole$$ number$).$

Z

$$Pr$($Z$)$

$0\mathrm{.}38$

$65$

$0\mathrm{.}50$

$69$

$0\mathrm{.}67$

$75$

$0\mathrm{.}84$

$80$

$1\mathrm{.}04$

$85$

$1\mathrm{.}28$

$90$

$1\mathrm{.}41$

$92$

$1\mathrm{.}56$

$94$

$1\mathrm{.}65$

$95$

$1\mathrm{.}75$

$96$

$2\mathrm{.}06$

$98$

$2\mathrm{.}33$

$99$