Answer:
A) The Burger King employee is busy 75% of the time.
B) The average number of customers waiting to be helped is 2.25.
C) The customers have an average time of 11.25 minutes waiting on the line.
Step-by-step explanation:
let x be the mean arrival rate = 12 customers per hour
let y be the mean service rate = 16 customers per hour
A) the percentage of the time is the Burger King employee busy is given by:
(12/16)*100
= 75%
Therefore, the Burger King employee is busy 75% of the time.
B) the average number of customers WAITING to be helped is given by:
x^2/y(y-x)
= (12^2)/[16(16-12)]
= 2.25 customers
Therefore, the average number of customers waiting to be helped is 2.25.
C) the average waiting time for customers in line is given by:
x/y(y-x)
= 12/[16(16-12)]
= 0.1875 hours
= 11.25 minutes.
Therefore, the customers have an average time of 11.25 minutes waiting on the line.