Question

The local Department of Motor Vehicles (DMV) issues new licenses and renews licenses. (See the diagram below.) 48 applicants enter the DMV per hour. All applicants see the receptionist first. The receptionist directs them in one of three directions: 75% of the applicants are sent directly to the issue-license Station where a new photo and license are done. 10% of the applicants must first take a multiple-choice test on one of the computers. The remaining 15% of applicants should first take an eye-exam. Only 80% of the applicants who take the eye exam pass the exam. The remaining leave. The applicants who pass the eye exam are also directed to the multiple-choice computer test. Out of all the applicants who take the multiple-choice test (coming either directly through the receptionist or after the eye exam), 5% fail it. The rest who pass the multiple-choice test proceed to the issue-license section. Get a piece of paper, draw the diagram clearly and carefully, and add the flows. The number of workers and workload are given below.

Activity Reception	number of workers (c) 1	Activity time (Tp) in mins. 0.4
Eye-Exam	1	5
Comp-Test	3	15
Issue-License	12	6

Suppose we double the Capacity of the Bottleneck in this system. Compute the new capacity of the system. The potential answers are:

A: 33.33 applicants hours. B: 31.17 applicants hours. C: 80 applicants hours. D: 25 applicants hours. E: 60 applicants hours.  

Answer 1

Based on the highest implied utilization, we declare the computed test as the bottleneck.

If this is doubled, the next bottleneck will be Eye-exam which has a capacity of 12 per hr.

The overall capacity will be 12 / 15% because 15% of the overall flow diverts through the eye-exam.

So,

The overall capacity will be = 12 / 15% = 80 per hr.