In the urgent$-$care clinic of Figure $2\mathrm{.}1,$ suppose that the patients arrive from outside into the clinic $($coming from the upper right corner of the figure and always into the Sign In station$)$ withlinterarrival times that are exponentially distributed with mean $6$ minutes. The number of individual servers at each station and the branching probabilities are all as shown in Figure $2\mathrm{.}1.$ The service times at each node are exponentially distributed with means $($all in minutes$)$ of $3$ for Sign In$,5$ for Registration, $90$ for Trauma Rooms, $16$ for Exam Rooms, and $15$ for Treatment Rooms. For each of the five stations, compute the "local" traffic intensity $$ Station there. Will this clinic "work," i$.$e$.,$ be able to handle the external patient load? Why or why not? If you could add a single server to the system, and add it to any of the five stations, where would you add it$?$ Why? Hint: Unless you like using your calculator, a spreadsheet or computer program might be good, or perhaps use mmc$.$exe.