Answer:
A.19.82 minutes
B. 48 sorts
C. 10.75
Explanation:
A. Calculation for the average time
Based on Interarrival time 30 customers per hour will give us 1 customer per 2 minutes
Hence,
a = 2 min
Cva= 1
Process time which is p = 1.7 min
CVp will be :3 min/1.7 min = 1.765
Utilization will be calculated as :p/a = 1.7/2 = 0.85
Now let find the average time
Tq= 1.7 x [0.85/(1-0.85)]x[(1^2 + 1.765^2)/2]
Tq= 19.82 minutes
Therefore the average time will be 19.82 minutes
B. Calculation for How many videos can be sort
Utilization will be calculated as: p/a = 1.7/2 = 0.85
Idle time will be calculated as : 0.15 x 8 hours
Idle time = 1.2 hours =
1.2 hours converted to minutes will be 72 minutes
Hence,
Number of videos sorted = 72 minutes / 1.5
Number of videos sorted = 48 sorts
Therefore the numbers of video that can be sort will be 48 sort
C. Calculation for the average number of customers who are at the checkout desk
Tq= 19.82 minutes
p = 1.7
T = Tq+ p = 21.52 minutes
Iq= R x Tq= 1/a x 19.82 = 0.5
Iq=0.5 * 19.82
Iq = 9.9 customers
Hence we are going to use this formula to find the average number of customers
I = Iq+ Ip= Iq+ u
Let plug in the formula
I= 9.9 + 0.85
I= 10.75
Therefore the average number of customers who are at the checkout desk will be 10.75
