Question

The local Department of Motor Vehicles issues new licenses and renews licenses.

75 15 Reception Eye test Exit Issue license 85 10 Written 905 Ex 10% The office receives 110 customers per hour. All customers first see a receptionist. The receptionist directs them in one of three directions. 75 percent go directly to issue License (staffed by 9 workers) where a new photo and license are done. 15 percent are required to take an eye test (staffed by one worker), and 10 percent must first take a multiple-choice electronic written test (on one of three computers). Only 85 percent of people pass the eye test and the remaining 15 percent exit. The customers who pass the eye test proceed on to the written test. 10 percent of the people who take the written test fail it, while 90 percent pass the test and then proceed to issue License.

What is the implied utilization of each station?

Reception__________%

Answer 1

The implied utilization of the reception station is 100%, the eye test station is 15%, and the written test station is 3.33%.

Step-by-step explanation:

To calculate the implied utilization of each station, we need to calculate the percentage of time that each station is occupied by customers. Let's start with the reception station. Since all customers first see the receptionist, we know that the reception station is occupied for 100% of the time. Therefore, the implied utilization of the reception station is 100%.

For the eye test station, 15% of the customers are required to take the eye test. Since there is one worker at the eye test station, the implied utilization of the eye test station is 15%.

For the written test station, 10% of the customers must first take the written test. Since there are three computers at the written test station, the implied utilization of the written test station is 10% divided by 3, which is approximately 3.33%.

So, the implied utilization of each station is as follows:

• Reception: 100%
• Eye test: 15%
• Written test: 3.33%