Q$4.($Inventory Buildup & Little's Law$).$ McDonald's at Coit and Turnpike is operating from $9$am to $5$ pm$.$ The restaurant can serve up to $100$ customers per hour. Customers arrive at the rate $120$ customers $/$ hour during the hours $9-11$am to grab McMorning, $200$ customers $/$ hour pour in during the peak hours of $11$ am to $1$ pm$,$ and for the lazy afternoon hours until the restaurant closes, only $20$ customers walk in per hour.$($b$)$ What is the average number of people waiting throughout the day? $(3$ point$)($c$)$ What is their average waiting time? $(3$ point$)$Q$2.($Inventory Buildup & Little's Law$).$ McDonald's at Coit and Turnpike is operating from $9$am

to $5pm.$ The restaurant can serve up to $100$ customers per hour. Customers arrive at the rate $120$

customers $/$ hour during the hours $9-1$ lam to grab McMorning, $200$ customers $/$ hour pour in during

the peak hours of $11am$ to $1pm,$ and for the lazy afternoon hours until the restaurant closes, only

$20$ customers walk in per hour.

$($a$)$ Plot the build$-$up diagram of waiting customers at McDonald's $(3$ points$)$

Total Waiting Customers

$($b$)$ What is the average number of people waiting throughout the day? $(3$ point$)$

$($c$)$ What is their average waiting time? $(3$ point$)$