# (Solved Homework): The local driver's license center processes applications for driver's license renewals…

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The local driver’s license center processes applications for driver’s license renewals through the following three steps. First, the customer registers with one of 2 receptionist(s), who updates the customer’s information in the database. This first step takes 2 minutes per customer. Then the customer visits one of 1 cashiers to pay the associated fees for the license renewal. This takes 7 minutes per customer because several forms must be printed from the computer and signed by the customer. Finally, the customer visits one of 3 license processing stations where the customer’s picture is taken and the license is printed. This final step takes 9 minutes per customer. a. Assuming unlimited demand, what is the flow rate of the process per hour in customers per hour? (Round to nearest integer) per hour b. Assuming unlimited demand, what would the new flow rate be if the center added one server to the bottleneck resource? (Round per hour to nearest integer) per hour

Flow rate through the first step is 2 minutes per customer.

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However there are two receptionists in the first step

Thus effective flow rate adjusted for single receptionist in the first step = 2 /2 = 1 minute

Flow rate through second step = 7 minute

There is only 1 cashier in the second step

Therefore, effective flow rate through the first step = 7 minutes

Flow rate through third step = 9 minutes

There are 3 license processing station

Thus effective flow rate adjusted for single processing station = 9/3 = 3 minutes

Thus effective flow rates as follows :

First step = 1 minute

Second step = 7 minutes

Third step = 3 minutes

The bottleneck step is the step which has the highest flow rate i.e. Step II with flow rate of 7 minutes. This will decide process flow rate.

Therefore process flow rate = 7 minutes per customer

Therefore, Flow rate of the process = 60/7 = 8.57 customers per hour ( 9 customers per hour )

If one server is added to bottleneck resource i.e. second step , the effective flow rate for the second step adjusted basis single server now will be = 7 /2 = 3.5 minutes

The new flow rate thus will be = 60 / 3.5 = 17.14 customers per hour ( 17 customers per hour )

 FLOW RATE OF THE PROCESS IN TERMS OF CUSTOMERS PER HOUR = 9 NEW FLOW RATE OF THE PROCESS IN TERMS OF CUSTOMERS PER HOUR = 17

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