The Riverton Post Office has four stations for service. Customers line up in single file for service on a FIFO basis. The mean arrival rate is 40 per hour, Poisson Distributed, and the mean service time per service is 4 minutes, exponentially distributed.

Question 1(10 points)

What is the value of lambda?

Question 1 options:

40

4

1.5

15

0.666

60

Question 2(10 points)

The average number of customers in the system is _____.

Question 2 options:

0.02

1.14

3.42

0.76

5.14

Question 3(10 points)

The average number of customers in line is _____.

Question 3 options:

5.14

0.02

1.14

0.76

3.42

Question 4(10 points)

In terms of the customer waiting time, the operation appears to needs improvement.

Question 4 options:

TrueFalse

A vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constantservice time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 perhour (Poisson distributed). Determine the operating characteristics of this system.

Question 5(10 points)

What is the value of lambda?

Question 5 options:

20

60

1

180

Question 6(10 points)

What is average time customers wait in line?

Question 6 options:

25 minutes

0.01 minutes

0.08 minutes

0.42 minutes

Question 7(10 points)

How busy are they?

Question 7 options:

300%

33%

45%

50%

Use the following information to answer the next few questions. 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.

Question 8(10 points)

What is the value of mu?

Question 8 options:

2

12

24

30

Question 9(10 points)

The average time in the system is

Question 9 options:

4 minutes.

6 minutes.

2 minutes.

8 minutes.

10 minutes.

Question 10(10 points)

The average number of cars in line is

Question 10 options:

8

3.2

4

2

10

1.6