chicago's hard rock hotel distributes a mean of

$1$

$0$

$0$

$0$

$$bath towels per day at the pool and in their rooms. this demand is normally distributed with a standard deviation of

$1$

$0$

$0$

$$towels per day, based on occupancy. the laundry firm that has the linen contract requires a

$3$

$-$

day lead time. the hotel expects a

$9$

$9$

$\%$

$$service level to satisfy high guest expectaions.