Please select the best answer choice to each question.

1. Waiting line models typically assume that customer arrival rates are represented by what distribution?

a) Poisson

b) Gaussian

c) Weibull

d) Cauchy

e) exponential

2. Which of the following is not considered to be a valid performance measure of a waiting line system?

a) the average number of customers waiting in line

b) the customer population source

c) the average number of customers in the system

d) the average amount of time customers spend waiting

e) the system utilization rate

3. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service rate, what is the formula for the average utilization of the system?

a) l / m

b) l / (m-l)

c) l² / m(m-l)

d) 1 / (m-l)

e) l / m(m-l)

4. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service rate, what is the formula for the average number of customers in the system?

a) l / m

b) l / (m-l)

c) l² / m(m-l)

d) 1 / (m-l)

e) l / m(m-l)

5. An information desk at a rest stop receives requests for assistance (from one server).Assume that a Poisson probability distribution with a mean rate of 5 requests per hour can be used to describe the arrival pattern and that service times follow the exponential probability distribution, with a mean service rate of 1 request per minute.What is the probability that there are no requests for assistance in the system?

a) 0%

b) 8.3%

c) -4%

d) -400%

e) 91.7%

6. Consider a single-server queuing system (with Poisson arrivals and exponential service times).If the arrival rate is 30 units per hour, and each customer takes 30 seconds on average to be served, what is the average length of the line?

a)1.03

b) -1.03

c)0.166

d)0.333

e)0.083

7. Consider a single-line, single-server waiting line system.The arrival rate is 80 people per hour, and the service rate is 120 people per hour.What is the probability of having 3 or more units in the system?

a) 29.63%

b) 33.33%

c)0.00%

d)9.88%

e) 66.67%

8) What occurs when a customer decides to enter the waiting line and then leaves without being served?

a) jockeying

b) walking

c) reneging

d) balking

e) None of the above

9.What occurs when a customer sees a line and decides not to enter?

a) balking

b) walking

c) reneging

d) vacillating

e) jockeying

10. What value of the correlation coefficient implies that there is no relationship between the two variables of a linear regression model?

a) -1

b) 0

c) 0.5

d) 1

e)

11. A customer population is called _______________ when the number of potential new customers is affected by the number of customers already in the system.

a) finite

b) infinite

c) dependent

d) independent

e) biased

12. Which of the following is least likely to be considered an infinite customer population?

a) customers in an amusement park

b) a class of 500 students who might visit their professor during office hours

c) a class of 10 students who might visit their professor during office hours

d) customers in a grocery store

e) cars taking Exit 76 off of a freeway during rush hour

13. Which of the following is not one of the characteristics that define a service system?

a) the number of customers

b) the number of waiting lines

c) the number of servers

d) the arrival and service patterns

e) the service priority rules

14. Which of the following waiting line systems best describes a drive-through service at a fast-food restaurant, where the order is placed at the first service point, the order is paid for at the second service point, and the food is picked up at the third service point?

a) single-server, single-phase

b) single-server, multi-phase

c) multi-server, single-line, single-phase

d) multi-server, multi-line, single-phase

e) multi-server, multi-phase

15. Which of the following is not considered to be a valid performance measure of a waiting line system?

a) the average number of customers waiting in line

b) the average number of customers in the system

c) the average amount of time customers spend waiting

d) the arrival pattern

e) the system utilization rate

16. Consider a single-server queuing system.If the arrival rate is 45 customers per hour and it takes 1 minute on average to serve a customer, what is the average waiting time in the waiting line in minutes?

a) 3

b) 0.05

c) 4

d) 1.02

e) -1.02

17. Consider a single-line, single-server waiting line system.The arrival rate is 40 people per hour, and the service rate is 80 people per hour.What is the average number of customers in line?

a)0.5

b)0.025

c)1.0

d)0.0125

e) 20.0

18. Given the following data, use exponential smoothing ( = .2) to develop a demand forecast for period 3.Assume the forecast for the initial period is 5.What is the forecast?

PeriodDemand

1 7

29

a) 9.00

b) 3.72

c) 9.48

d) 5.00

e) None of the above.

Use the following scenario to answer Questions #19 - 21.

19. Cover Me, Inc. sells umbrellas in three cities.Management assumes that annual rainfall is the primary determinant of umbrella sales, and it wants to generate a linear regression equation to estimate potential sales in other cities.Given the data below, what is the sales forecast if City D has 24 inches of annual rainfall?

Rainfall Sales

XY

City A30 in. 2000

City B25 in. 1500

City C12 in. 1300

a) 1225

b) 1450

c) 1575

d) 1660

e) 1800

20. Determine the correlation coefficient between these two variables.

a) 0

b) 0.5

c) 0.78

d) 0.88

e) 1

21. What percentage of the variability in sales of umbrellas can be explained by how many inches of rainfall a city gets?

a) 0

b) 0.5

c) 0.78

d) 0.88

e) 1

Use the following scenario to answer Questions #22 - 24.

A college has forecasted that enrollment for the upcoming academic year to be 6000 students. Using the data below, answer the following questions:

2019/20202019/2020

Fall30003400

Spring10001600

Summer200200

22. The number of students that will enter next Fall is forecasted to be:

a)3000

b)3200

c)3400

d)4100

e)6400

23. The number of students that will enter next Spring is forecasted to be:

a)1000

b)1300

c)1600

d)1640

e)2600

24. The number of students that will enter next Summer is forecasted to be:

a)200

b)250

c)260

d)300

e)400

25. Which of the following statements is false/

a) The Latest Starting (LS) and Latest Finishing (LF) times depend on whether or not the activity is on the critical path.

b) The earliest finish (EF) is the Earliest Start (ES) plus the activity time.

c) All activities on the critical path have some slack.

d) Slack defines how long non-critical activities can be delayed without delaying the project.

26. PERT has a ______________ duration,while CPM has a ___________ duration.

a)Probabilistic, risky

b)Risky, Probabilistic

c)Probabilistic, deterministic

d)Deterministic, Probabilistic

e)None of the above

Use the following data to answer the next three questions. The times are in weeks.

OMLP

A289

B347

C568

27. Find the variance for A

a. 0.44

b. 1.36

c. 0.25

d. 0.99

e. .none of the above

28. Determine the expected processing time of Activity B

a.18 weeks

b.32 weeks

c.4.2 weeks

d.4.3 weeks

e.none of the above

29. Suppose that the path is A->B->C; determine the likelihood of this project will be completed in 18 weeks.

a.35%

b.20%

c.50%

d.99.85%

e.None of the above.