Time $9$:$00-10$:$0010$:$00-11$:$0011$:$00-12$:$0012$:$00-13$:$0013$:$00-14$:$0014$:$00-15$:$0015$:$00-16$:$0016$:$00-17$:$00$ Lobby $615243638312013$ Concierge Desk $571519198691.$ Find the staffing requirements $($in terms of number of servers$)$ for the lobby for each time period that satisfies the hotel$$s overall goal. Similarly find the staffing requirements $($in terms of number of servers$)$ required for the concierge desk. $2.$ Based on your analysis in question $1,$ propose a fixed number of servers for all time periods for the lobby as well as the concierge desk. What is the service level goal in terms of the wait in line that can be satisfied under your proposed number of servers? How would you explain$/$justify your proposal to management? What additional data $($if any$)$ would you need for your justification? $3.$ Now suppose that you decide to combine the lobby and concierge service into one, so that servers can handle both lobby and concierge requests. Reconsider the arrival rates in the Table and the service goal of no more than $2$ minutes wait in line. Assume service times remain the same. Compare the number of servers you need for the combined lobby$-$concierge desk with those you found in Question $1.$ What do you observe? Explain. $4.$ You want to consider the additional benefit of reducing service time variability via automation. Consider the setting in question $3.$ Assume now that service times have no variability. For the time interval $13$:$00-14$:$00$ compare the number of servers needed to those found under question $3$ for this time period.