Question
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 11:30): arrival
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below).
Morning (8:30 11:30): arrival 1 = 38 per hour.
Lunch (11:30 1:30): arrival 2 = 27 per hour.
Afternoon (1:30 4:00): arrival 3 = 47 per hour.
Regardless of the time of day, the average time it takes for a teller to serve customers is 3.5 minutes.
Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 5 minutes. With that in mind, answer the following:
a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 5-minute service goal mentioned above? [ Select ] ["4 tellers", "3 tellers", "1 teller", "2 tellers", "The bank cant hire enough tellers to achieve an average wait before service of under 7 minutes."]
b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 5 minute service goal mentioned above? [ Select ] ["5 tellers", "2 tellers", "Any number of tellers will suffice to meet the objective", "3 tellers", "4 tellers"]
c. In the afternoon, what is the minimum number of tellers that the bank needs to hire to achieve the 5 minute service goal mentioned above? [ Select ] ["1 teller", "2 tellers", "3 tellers", "4 tellers", "5 tellers"]
d. In the evening, based on the amount of tellers needed to meet the goal, what is the average number of customers waiting before they get served? [ Select ] ["0.55 customers", "3.62 customers", "0.69 customers", "2.67 customers", "0.89 customers"] , and the time waiting before being served? [ Select ] ["1.53 minutes", "4.63 minutes", ".22 of a minute", "1.13 minutes", ".88 of a minute"] minutes
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