Use the following scenario to answer the question(s)below.
Solomon operates a drive-in restaurant and is in charge of marketing and analysis; his son is in charge of delivery.The restaurant works as a single queue FCFS system.During the "lunch hour," which Solomon defines as the period from 12.30 p.m.to 2.30 p.m.,customers arrive randomly at an average of 30 customers per hour (or one customer every two minutes).A customer takes an average of three minutes to receive his order (or 20 customers per hour),but this fluctuates quite a bit due to variations in customer preferences.Solomon doesn't understand how a line could possibly pile up when his son can work faster than the rate at which customers arrive.Although customers complain a bit,they do not leave even if they have to wait.Solomon is particularly interested in understanding the waiting time,the number waiting,and how long his son is actually busy before considering improving his facility.
(Hint: Use SimQuick)
-The number of work cycles started in the work station is ________.
A)21.53
B)18.02
C)60.33
D)38.80

Question

Quizplus · Accepted Answer

The number of work cycles started in the work station is calculated based on the arrival rate and the service rate. Given that customers arrive at a rate of 30 per hour and are served at a rate of 20 per hour, the work cycles started in the work station during the 2-hour lunch period would be the total number of arrivals, which is 60 (30 customers per hour * 2 hours). However, since the service rate is slower than the arrival rate, the actual number of work cycles started would be closer to the number of customers served, which is 40 (20 customers per hour * 2 hours). The choice D) 38.80 is the closest to this calculation, indicating an approximation of the actual work cycles started, considering fluctuations in service time and arrival rate.

Use the Following Scenario to Answer the Question(s)below