$4-$A hotel is considering changing its waiting line system. In the current

system, hotel guests divide themselves equally between the lines that form in

front of $3$ hotel clerks. The manager is considering having hotel guests wait in

one line and then proceed to the next available clerk. If average service time is

$6$ minutes and the average number of arrivals per hour is $24$ guests.

Which system do you propose?

Arrival to each line $=$ arrival to the hotel$/$hotel clerk

Arrival to the hotel $=\frac{24}{3}=8$ people $\frac{?}{hr}$

$=\frac{24}{60}=0\mathrm{.}4=6$ minutes

$W_{}=\frac{}{(-)}$

$W{g}_{Mg}=\frac{0\mathrm{.}4}{6}(6-0\mathrm{.}4)$

$=\frac{0\mathrm{.}4}{33\mathrm{.}6}$

$=0\mathrm{.}012$ per minute