The average service time on$-$site is two hours. In addition, technicians must travel to the customer locations, which takes another $20$ minutes on average. Both on$-$site service times and travel times vary, depending on the complexity of the service problem and the customer's location. Each store re$-$ ceives an average of $1\mathrm{.}2$ requests per day for service, though the actual number of requests is highly variable. $($You can assume all these statistics are the same for each store and that service requests arrive only during the regular $8-$hour working day. Service technicians work the same $8-$hour day as well. Any requests that have not been serviced by the end of the day are carried over to the next day$).$ Comp$-$Mart would like to be able to dispatch its technicians almost immediately to a customer location whenever a service request comes in$.$ Its goal is to dispatch technicians in less than five minutes on average from the time a service request is received. $($a$)$ Is Comp$-$Mart meeting its service objective? What is its average dispatch delay? $($b$)$ Comp$-$Mart's chief operating officer, Jane Higgins, is proposing consolida$-$ tion of the five service technicians into one central location. This change would increase the average travel time to $40$ minutes, but it would not affect the on$-$site service time of two hours. The CEO, Jim Derk, has expressed concern about Jane's proposal: "Sure Jane, consolidation saves on some overhead. But you know we are having a hell of a time meeting our service commintments... and this new arrangement adds $20$ minutes more travel time to each service call! More over, you know we cannot afford to hire more technicians; the service con$-$ tract business is barely turning a profit. To be honest Jane, I think this whole consolidation idea is lousy!" Is Jim right? Specifically, what would be the average dispatch delay under Jane's proposal?