# Saint GBA334 final exam

Question 1.1.

A company has been receiving complaints about the attitude of some sales clerks. Over a 10-day period, the total number of complaints was 360. The company wishes to develop a control chart for the number of complaints. What would the upper control limit on the number of complaints per day be for a 3 sigma (99.7%) control chart?

(Points : 2.5)

18

36

42

54

None of the above

Question 2.2.

A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. How long does the average person spend waiting for a clerk?

(Points : 2.5)

3.429 minutes

1.929 minutes

1.143 minutes

0.643 minute

None of the above

Question 3.3.Ac-chart would be appropriate to monitor the number of weld defects on the steel plates of a ship’s hull.(Points : 2.5)

True

False

Question 4.4.Both transportation and assignment problems are members of a category of LP techniques called ________.(Points : 2.5)

transshipment problems

Hungarian problems

source-destination problems

supply and demand problems

network flow problems

Question 5.5.

Anx-bar chart would be appropriate to monitor the number of defects in a production lot.

(Points : 2.5)

True

False

Question 6.6.

The process of smoothing out the utilization of resources in a project is called

(Points : 2.5)

CPM.

PERT.

project crashing.

work breakdown structure.

resource leveling.

Question 7.7.Variations that need not occur in production processes are referred to as(Points : 2.5)

assignable variations.

control variations.

natural variations.

process variations.

None of the above

Question 8.8.

Reducing the overall activity time is based on which of the following steps?

(Points : 2.5)

crashing activities with the lowest overall crash cost

crashing activities with the lowest overall normal cost

crashing activities with the lowest overall normal cost

crashing activities on the critical path based on lowest cost/week

crashing activities with the lowest cost/week.

Question 9.9.

In LP, a constraint with zero slack or surplus is called a

(Points : 2.5)

nonbinding constraint.

resource constraint.

binding constraint.

nonlinear constraint.

linear constraint.

Question 10.10.Consider the following linear programming problem:

Maximize: 5X + 6Y

Subject to:

4X + 2Y ? 420

1X + 2Y ? 120

all variables ?0

The maximum possible value for the objective function is

(Points : 2.5)

420

120

300

560

None of the above

Question 11.11.

Statistical process control uses regression and other forecasting tools to help control processes.

(Points : 2.5)

True

False

Question 12.12.

The central limit theorem provides the statistical foundation for control charts.

(Points : 2.5)

True

False

Question 13.13.Transportation models can be used for which of the following decisions?(Points : 2.5)

facility location

production mix

media selection

portfolio selection

employee shift scheduling

Question 14.14.

Sample Size

n

Mean Factor

A2

Upper Range

D4

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

Refer to table above. 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. The upper control chart limit for the sample averages would be

(Points : 2.5)

36.3458.

35.6542.

38.3101.

36.6279.

37.1258.

Question 15.15.

The project described by:

Activity

Immediate

Predecessor

Time

(days)

A

—

6

B

A

2

C

—

8

D

B, C

5

E

D

7

has a critical path of length of ________.

(Points : 2.5)

15 days

20 days

17 days

18 days

None of the above

Question 16.16.

Thec-chart is be useful when we

(Points : 2.5)

take a number of measurements and compute the average.

take a number of measurements and compute the ranges.

find the fraction of the production lot defective.

find the number of defective items in a production lot.

None of the above

Question 17.17.In a transportation problem, degeneracy occurs when(Points : 2.5)

the number of used (or full) cells does not equal the number of rows plus columns minus one.

in an initial solution, both a row total and a column total are satisfied simultaneously.

during an improvement, two negative cells contain the same smallest amount.

All of the above

None of the above

Question 18.18.

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, what proportion of the time is the server busy (service utilization)?

(Points : 2.5)

0.43

0.57

0.75

0.25

0.33

Question 19.19.

The project described by:

Activity

Immediate

Predecessor

Time

(days)

A

—

10

B

A

4

C

A

6

D

B, C

7

E

C

5

has a critical path routes of ________.

(Points : 2.5)

A-B-C

A-B-D-E

A-C-D

B-C-D_E

C-D

Question 20.20.

PERT assumes that the total completion time of a projects follows which of the following probability distributions?

(Points : 2.5)

normal

exponential

binomial

Poisson

None of the above

Question 21.21.

If we want to quickly arrive at a “feasible,” but not necessarily “optimal” solution to the transportation problem, we will use the

(Points : 2.5)

stepping-stone method.

northwest corner rule.

Vogel’s approximation method.

MODI method.

Any of the above

Question 22.22.

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 ________.

(Points : 2.5)

37.67

38.00

39.33

40.00

none

Question 23.23.

Which of the following questions can be answered by PERT?

(Points : 2.5)

When will the entire project be completed?

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

What are the critical activities?

What are the noncritical activities?

All of the above

Question 24.24.

Thep-chart would be useful when we

(Points : 2.5)

took a number of measurements and computed the average.

took a number of measurements and computed the ranges.

found the fraction of the production lot defective.

found the number of defective items in a production lot.

None of the above

Question 25.25.

In LP, a constraint with positive slack or surplus is called a

(Points : 2.5)

nonbinding constraint.

resource constraint.

binding constraint.

nonlinear constraint.

linear constraint.

Question 26.26.

A company believes a process monitored by anx-bar chart to be in control. When the most recent control point exceeded the UCL value by 20%, the company should

(Points : 2.5)

believe that a random bad luck chance occurred and proceed.

suspect that an assignable cause of variation now exists and can be found.

ignore the control point completely, as it is simply an outlier.

wait for the next four samples to be taken to see if a trend develops.

All of the above

Question 27.27.

The x-bar chart would be useful when we

(Points : 2.5)

took a number of measurements and computed the average.

took a number of measurements and computed the ranges.

found the fraction of the production lot defective.

found the number of defective items in a production lot.

None of the above

Question 28.28.

Which of the following isnota popular definition of quality?

(Points : 2.5)

Quality is the totality of features and characteristics of a product or service that bears on its ability to satisfy stated or implied needs.

Quality is defined as a competitively priced product that surpasses customer needs.

Quality is the degree to which a product conforms to design or specification.

Quality is fitness for use.

Even though quality cannot be defined, you know what it is.

Question 29.29.

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

(Points : 2.5)

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

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

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

All of the above

None of the above

Question 30.30.

In order for a linear programming problem to have a unique solution, the solution must exist

(Points : 2.5)

at the intersection of the non-negativity constraints.

at the intersection of a non-negativity constraint and a resource constraint.

at the intersection of the objective function and a constraint.

at the intersection of two or more constraints.

None of the above

Question 31.31.

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

(Points : 2.5)

x-bar chart

R-chart

p-chart

c-chart

None of the above

Question 32.32.

SE Appliances manufacturers refrigerators in Richmond, Charlotte, and Atlanta. Refrigerators then must be shipped to meet demand in Washington, New York, and Miami. The table below lists the shipping costs, supply, and demand information.

Data

COSTS

Washington

New York

Miami

Supply

Richmond

10

20

30

1000

Charlotte

15

25

20

1500

Atlanta

20

20

10

2000

Demand

1500

1800

1200

4500 4500

What is theminimum shipping costs?

(Points : 2.5)

$700,500

$17,500

$70,500

$7,500

None of the above

Question 33.33.

A plant manager is concerned with the variability of beer being filled in 12 oz. cans. The most appropriate control chart would be which of the following?

(Points : 2.5)

x-bar chart

R-chart

p-chart

c-chart

None of the above

Question 34.34.

Sample Size

n

Mean Factor

A2

Upper Range

D4

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

Refer to the table above. Bags of chocolate candy are sampled to ensure proper weight. The overall average for the samples is 36 ounces. Each sample contains eight bags. The average range is 1.3 ounces. The lower control chart limit for the sample averages would be

(Points : 2.5)

36.3730.

36.4849.

35.6270.

35.5151.

None of the above

Question 35.35.

The project described by:

Activity

Immediate

Predecessor

Time

(days)

A

—

10

B

A

4

C

A

6

D

B, C

7

E

C

5

has a critical path of length of ________.

(Points : 2.5)

21 days

14 days

23 days

32 days

None of the above

Question 36.36.Which of the following isnotan assumption for the M/M/1 model with finite population source?(Points : 2.5)

There is only one server.

The population of units seeking service are finite.

Arrivals follow a Poisson distribution and service times are exponential.

Customers are served on a first come, first served basis.

The length of the queue is independent of the arrival rate.

Question 37.37.

It is impossible to develop a process that has zero variability.

(Points : 2.5)

True

False

Question 38.38.

Which of the following control charts is/are for attributes?

(Points : 2.5)

p-chart

x-bar chart

R-chart

A and B

A, B, and C

Question 39.39.

When receiving a shipment from a supplier, inspection must be done to check the fraction of defective products. This is best monitored by which of the following control charts?

(Points : 2.5)

x-bar chart

R-chart

p-chart

c-chart

None of the above

Question 40.40.

Customers enter the waiting line at 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, what is the average number of customers in the system?

(Points : 2.5)

0.43

1.67

0.57

1.33

None of the above

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