Last Name, Name:$3.(10$ pts$)$ A bank has recently received customer complaints about long waiting in using the only automatic teller machine $($ATM$)$ located at a shopping mall. After a period of observation and investigation, it has been found that the inter$-$arrival time is exponential with a mean arrival rate of $8$ customers per hour. The service time is exponential with a mean service rate of $10$ customers per hour. In response to customers' complaints, the bank is considering the following alternatives:$1)$ Keep the current system$\mathrm{.}2)$ Replace the existing ATM with a faster ATM with a mean service rate of $15$ customers per hour;$3)$ Install a second identical ATM at the opposite end of the mall $($i$.$e$.,$ each ATM has an arrival rate of $4$ per hour$)$;$4)$ Install a second identical ATM adjacent to the existing ATM $($parallel ATM's, single queue$)$Recommend the best alternative based on the impact on customers' waiting time.Alternative $1)$Alternative $2)$Alternative $3)$Alternative $4)$Which alternative is the best alternative? Why?