# Gba334 final exam latest 2018

Question

Question 1

Given an activity’s optimistic, most likely, and pessimistic time estimates of 4, 12, and 18 days respectively, what is the PERT variance for this activity?

Question 1 options:

2.33

5.44

64.00

8.00

None of the above

Question 2

Given the following small project, the critical path is __________ days.

Question 2 options:

none of the above

14

10

20

16

Question 3

The expected time in PERT is:

Question 3 options:

the square root of the sum of the variances of the activities on the critical path.

none of the above.

a weighted average of the most optimistic time, most pessimistic time, and four times the most likely time.

the modal time of a beta distribution.

a simple average of the most optimistic, most likely, and most pessimistic times.

Question 4

The expected time in PERT is:

Question 4 options:

greater than the most likely time.

less than the most likely time.

equal to the most likely time.

any of the above.

none of the above.

Question 5

An automatic car wash is an example of a constant service time model.

Question 5 options:

True

False

Question 6

An airline company tracks the number of lost bags that occur each day. This is best monitored by which of the following control charts?

Question 6 options:

p-chart

c-chart

x-bar chart

R-chart

None of the above

Question 7

The *c*-chart is useful when we:

Question 7 options:

take a number of measurements and compute the average.

find the fraction of the production lot defective.

find the number of defective items in a production lot.

None of the above is correct.

take a number of measurements and compute the ranges.

Question 8

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. What is the utilization factor for this system?

Question 8 options:

0.547

0.467

0.800

0.133

None of the above

Question 9

Both transportation and assignment problems are members of a category of LP techniques called __________.

Question 9 options:

Hungarian problems

source-destination problems

supply and demand problems

network flow problems

transshipment problems

Question 10

A certain firm has four different operations that must be assigned to four locations. The profit (in thousands of dollars) associated with each operation at each location is presented below. The firm’s vice president would like to assign the various operations so that the total profit is maximized. Find the appropriate assignments.

Operation

Location

1

2

3

4

W

9

11

7

10

X

10

12

6

12

Y

8

10

13

9

Z

12

8

11

10

Using the data in the table, what is the optimal location for Operation X?

Question 10 options:

4

3

1

2

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Question 11

If items being transported must go through an intermediate point before reaching a final destination, then this situation is known as a(n) __________.

Question 11 options:

transportation problem

transshipment problem

intermediate point problem

assignment problem

None of the above

Question 12

A technique that allows a researcher to determine the greatest amount of material that can move through a network is called __________.

Question 12 options:

maximal-flow

shortest-route

maximal-tree

maximal-spanning

Question 13

In the maximal-flow technique, a zero (0) means no flow or a one-way arc.

Question 13 options:

True

False

Question 14

Which of the following distributions is most often used to estimate the arrival pattern?

Question 14 options:

Erlang

Beta

Normal

Negative exponential

Poisson

Question 15

To guarantee that cans of soup are properly filled, some cans are sampled and the amounts measured. The overall average for the samples is 12 ounces. Each sample contains 10 cans. The average range is 0.4 ounces.

Using the data in the table above, what is the lower control chart limit for the sample averages?

Question 15 options:

12.1232

11.8768

12.308

13.2

None of the above

Question 16

Which of the following is not a property of linear programs?

Question 16 options:

Objective function and constraints are linear

One or more constraints

One objective function

At least two separate feasible regions

Alternative courses of action

Question 17

Assume that we are using a waiting line model to analyze the number of service technicians required to maintain machines in a factory. Our goal should be to:

Question 17 options:

minimize the percent of idle time of the technicians.

maximize productivity of the technicians.

minimize the total cost (cost of maintenance plus cost of downtime).

minimize the number of machines needing repair.

minimize the downtime for individual machines.

Question 18

What type of problems use LP to decide how much of each product to make, given a series of resource restrictions?

Question 18 options:

Product restriction

Product mix

Resource restriction

Resource allocation

Resource mix

Question 19

A feasible solution to a linear programming problem:

Question 19 options:

must satisfy all of the problem’s constraints simultaneously.

must give the maximum possible profit.

need not satisfy all of the constraints, only the non-negativity constraints.

must be a corner point of the feasible region.

must give the minimum possible cost.

Question 20

Given the table below, the final table for an assignment problem, who should be assigned to Job 2?

Job (Time in Minutes)

1

2

3

4

Worker

A

0

0

2

1

B

1

3

1

0

C

1

0

1

1

D

0

1

0

3

Question 20 options:

Worker C

Worker A

Worker D

Either worker A or worker C

Neither worker A nor worker C

Question 21

The following table represents a project with four activities. All times are in weeks.

The following represents a project with four a activities. All times are in weeks

Activity

Immediate Predecessor

Optimistic time

Most likely time

Pessimistic time

A

–

2

8

17

B

–

8

8

8

C

A

6

9

18

D

B

5

11

17

Using the data in the table, what is the minimal expected completion tiime (in weeks) for the project?

Question 21 options:

None of the above

11

19

18

37

Question 22

Bank Boston has a branch at Bryant College. The branch is busiest at the beginning of the college year when freshmen and transfer students open accounts. This year, freshmen arrived at the office at a rate of 40 per day (assume 8-hour days). On average, it takes the Bank Boston staff person about ten minutes to process each account application. The bank is considering having one or two tellers. Each teller is paid $12 per hour and the cost of waiting in line is assumed to be $8 per hour.

What is the total daily service cost for the two-teller model?

Question 22 options:

$48

$192

$96

$144

Question 23

The R-chart is useful when we:

Question 23 options:

take a number of measurements and compute the ranges.

find the number of defective items in a production lot.

None of the above is correct.

find the fraction of the production lot defective.

take a number of measurements and compute the average.

Question 24

The average range of a process for packaging cereal is 1.1 ounces. Assume the sample size is 10.

Using the data in the table above, what is the lower control chart limit for the sample ranges?

Sample Size

Mean Factor

Upper Range

Lower Range

n

A2

D4

D3

2

1.880

3.638

0

3

1.023

2.574

0

4

0.729

2.282

0

5

0.577

2.114

0

6

0.483

2.004

0

7

0.419

1.924

0.076

8

0.373

1.864

0.136

9

0.337

1.816

0.184

10

0.308

1.777

0.223

12

0.266

1.716

0.284

Question 24 options:

0.223

1.777

0.245

1.955

None of the above

Question 25

Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, on average, how much time will elapse from the time a customer enters the line until he/she leaves the cafeteria?

Question 25 options:

1.33 minutes

0.33 minute

0.67 minute

0.75 minute

0.50 minute

Question 26

Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes. Service times are exponentially distributed with an average of 15 minutes. Jack Burns, the JLUBE owner, has decided to open a second work bay, i.e., make the shop into a two-channel system. Under this new scheme, the total time an average customer spends in the system will be

Question 26 options:

33.3 minutes.

24.6 minutes.

9.6 minutes.

2.1 minutes.

37 minutes.

Question 27

To guarantee that cans of soup are properly filled, some cans are sampled and the amounts measured. The overall average for the samples is 12 ounces. Each sample contains 10 cans. The average range is 0.4 ounces.

Using the data in the table above, what is the upper control chart limit for the sample averages?

Question 27 options:

None of the above

11.8768

12.1232

12.308

13.2

Question 28

Bank Boston has a branch at Bryant College. The branch is busiest at the beginning of the college year when freshmen and transfer students open accounts. This year, freshmen arrived at the office at a rate of 40 per day (assume 8-hour days). On average, it takes the Bank Boston staff person about ten minutes to process each account application. The bank is considering having one or two tellers. Each teller is paid $12 per hour and the cost of waiting in line is assumed to be $8 per hour.

What is the total daily service cost for the single teller model?

Question 28 options:

$144

$192

$96

$48

Question 29

The p-chart is useful when we:

Question 29 options:

find the fraction of the production lot defective.

take a number of measurements and compute the average.

take a number of measurements and compute the ranges.

find the number of defective items in a production lot.

None of the above is correct.

Question 30

A constraint with zero slack or surplus is called a __________

Question 30 options:

linear constraint

binding constraint

nonlinear constraint

resource constraint

nonbinding constraint

Question 31

Bags of chocolate candy are sampled to ensure proper weight. The overall average for the samples is 36 ounces. Each sample contains twelve bags. The average range is 1.3 ounces.

Sample Size n

Mean Factor A2

Upper Range D2

Lower Range D3

2

1.880

3.628

0

3

1.023

2.574

0

4

0.729

2.282

0

5

0.577

2.114

0

6

0.483

2.004

0

7

0.419

1.924

0.076

8

0.373

1.864

0.136

9

0.337

1.816

0.184

10

0.308

1.777

0.223

12

0.266

1.716

0.284

Using the data in the table above, what is the lower control chart limit for the sample averages?

Question 31 options:

36.4849

35.6270

35.5150

36.3730

Question 32

Lines connecting nodes on a network are called links.

Question 32 options:

True

False

Question 33

If the total supply from the sources does not equal the total demand from the destinations in the transportation problem:

Question 33 options:

the amount put in a dummy source or destination should make supply and demand equal.

and if supply is greater than demand, add a dummy source or factory.

and if demand is greater than supply, add a dummy destination or warehouse.

none of the above.

all of the above.

Question 34

**Use table below to answer question**

**The following represents a project with known activity times. All times are in weeks.**

**Activity**

**Immediate** **Predecessor**

**Time**

A

–

4

B

–

3

C

2

D

A

7

E

B

4

F

C, D

5

G

B

4

The following table represents a project with known activity times. All times are in weeks.

Using the data in the table, what is the slack time (in weeks) for activity D?

Question 34 options:

0

5

3

6

None of the above

Question 35

Bank Boston has a branch at Bryant College. The branch is busiest at the beginning of the college year when freshmen and transfer students open accounts. This year, freshmen arrived at the office at a rate of 40 per day (assume 8-hour days). On average, it takes the Bank Boston staff person about ten minutes to process each account application. The bank is considering having one or two tellers. Each teller is paid $12 per hour and the cost of waiting in line is assumed to be $8 per hour.

What is the proportion of time that the staffers are busy?

Question 35 options:

.833

.333

.667

.725

Question 36

When using a general LP model for transportation problems, if there are 4 sources and 3 destinations, which of the following statements is true?

Question 36 options:

There are typically 12 decision variables and 7 constraints.

There are typically 12 decision variables and 3 constraints.

There are typically 12 decision variables and 12 constraints.

There are typically 4 decision variables and 3 constraints.

There are typically 7 decision variables and 7 constraints.

Question 37

Which of the following questions can be answered by PERT?

Question 37 options:

What is the probability that the project will be completed by a specific date?

What are the critical activities?

When will the entire project be completed?

What are the noncritical activities?

All of the above

Question 38

A widely used mathematical programming technique designed to help managers and decision making relative to resource allocation is called __________.

Question 38 options:

computer programming

constraint programming

linear programming

goal programming

None of the above

Question 39

Which of the following is a basic assumption of linear programming?

Question 39 options:

Divisibility does not exist, allowing only integer solutions.

Solutions or variables may take values from – to +.

Proportionality exists in the objective function and constraints.

Independence exists for the activities.

The condition of uncertainty exists.

Question 40

What is the total daily waiting cost for the two-teller model?

Question 40 options:

$133.32

$4.17

$11.20

$266.56

Question 41

Management resources that need control include machinery usage, labor volume, money spent, time used, warehouse space used, and material usage.

Question 41 options:

True

False

Question 42

The inspection of cans of juice involves sampling some cans and weighing them. The overall average for the samples is 39 ounces. Each sample contains 36 cans. The standard deviation is estimated to be 2 ounces. The 99.7% lower control chart limit for the average would be __________.

Question 42 options:

40.00

37.67

39.33

38.00

none

Question 43

The maximal-flow technique might be used by the U.S. Army Corps of Engineers to study water run-off in an attempt to minimize the danger from floods.

Question 43 options:

True

False

Question 44

The maximal-flow model assumes that there is a net flow from “source” to “sink.”

Question 44 options:

True

False

Question 45

A company can decide how many additional labor hours to acquire for a given week. Subcontractor workers will only work a maximum of 20 hours a week. The company must produce at least 200 units of product A, 300 units of product B, and 400 units of product C. In 1 hour of work, worker 1 can produce 15 units of product A, 10 units of product B, and 30 units of product C. Worker 2 can produce 5 units of product A, 20 units of product B, and 35 units of product C. Worker 3 can produce 20 units of product A, 15 units of product B, and 25 units of product C. Worker 1 demands a salary of $50/hr, worker 2 demands a salary of $40/hr, and worker 3 demands a salary of $45/hr.The company must choose how many hours they should contract with each worker to meet their production requirements and minimize labor cost.

Assuming this is a linear programming problem, which of the following is the objective function?

Question 45 options:

Maximize 40X1 + 45X2 + 50X3

Minimize 40X1 + 45X2 + 50X3

Maximize 50X1 + 40X2 + 45X3

Minimize 50X1 + 40X2 + 45X3

Question 46

The difference between the left-hand side and right-hand side of a greater-than-or-equal-to constraint is referred to as __________.

Question 46 options:

constraint

slack

surplus

shadow price

none of the above

Question 47

The average range of a process for packaging cereal is 1.1 ounces. Assume the sample size is 10.

Using the data in the table above, what is the upper control chart limit for the sample ranges?

Sample Size

Mean Factor

Upper Range

Lower Range

n

A2

D4

D3

2

1.880

3.638

0

3

1.023

2.574

0

4

0.729

2.282

0

5

0.577

2.114

0

6

0.483

2.004

0

7

0.419

1.924

0.076

8

0.373

1.864

0.136

9

0.337

1.816

0.184

10

0.308

1.777

0.223

12

0.266

1.716

0.284

Question 47 options:

0.245

1.955

0.223

1.777

None of the above

Question 48

Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 bags. The standard deviation is estimated to be 3 ounces. The upper control chart limit (for 99.7% confidence) for the average would be __________ ounces.

Question 48 options:

18.0

10.2

10.8

7.2

9.4

Question 49

One difficulty in waiting line analysis is that it is sometimes difficult to place a value on customer waiting time.

Question 49 options:

True

False

Question 50

Practically speaking, multiple optimal solutions __________.

Question 50 options:

are unbalanced

are infeasible

are degenerate

provide management with greater flexibility in selecting and using resources

are unbounded