At a local fast-food joint, cars arrive randomly at a rate of 12 every 30 minutes.The fast food joint takes an average of 2 minutes to serve each arrival.The utilization factor for this system is
A)0.467.
B)0.547.
C)0.800.
D)0.133.

Question

Quizplus · Accepted Answer

To find the utilization factor, we need to calculate the average number of customers served per minute, which is given by

lambda * service time = 12/30 * (1/2) = 0.2

Now, we need to divide this by the capacity of the system, which is the inverse of the service time,

1/2 = 0.5

So,

utilization factor = 0.2/0.5 = 0.4

Therefore, the correct choice is C, which is the closest to 0.4.

At a Local Fast-Food Joint, Cars Arrive Randomly at a Rate