Question $3(2+2+2+2=8$ points $)$ Use Little's formula to answer the following two questions. Little's formula: WIP $=$ Flow rate $\backslash$times Flow time. a$)$ You are working as an HR intern at a large property management company. The company has an employee turnover of $12\%$ a year and an employee base of $80.$ You are given the following task: Find $($i$)$ how many new employees the company must hire every year, and $($ii$)$ the average time an$.$ employee spends in the company.

$[($i$)=,12\backslash$times $80=9\mathrm{.}6(10)$; $($ii$)100/12=8\mathrm{.}3333]$

b$)$ Assume the pediatrician's office is open $8$: $00$ a$.$m$.$ to noon. Arrivals and departures to a pediatrician's office are collected and reported below. Given these, how many patients on average are in the office? c$)$ You started working at a big hardware store. The store turns its inventory of drill driver kits $16$ times per year. If the store has an average inventory of $20$ drill driver kits, what is the average daily sales rate for the kits? $($Assume that there are $360$ days per year$)$ d$)$ A post office serves $108$ customers over its busy period from $1$:$00$ pm to $2$:$30$ pm on a Saturday. At any point in time, there is an average of $15$ people are in the post office $($waiting in line and being served$).$ What is the average amount of time that a person spends in the post office?