# With cpm, we are able to calculate the probability of finishing the

Question 1
1.
With CPM, we are able to calculate the probability of finishing the project within a specified time.
True
False
2 points
Question 2
1.
In CPM, crashing an activity that is not on the critical path increases the cost of the project.
True
False
2 points
Question 3
1.
Gantt charts and PERT diagrams provide the same information, just in different formats.
True
False
2 points
Question 4
1.
One PERT/COST assumption is that money is spent at a constant rate over the time taken to complete an activity.
True
False
2 points
Question 5
1.
Your company is considering submitting a bid on a major project. You determine that the expected completion time is 100 weeks and the standard deviation is 10 weeks. It is assumed that the normal distribution applies. You wish to set the due date for the project such that there is an 85 percent chance that the project will be finished by this time. What due date should be set?

108.0

110.4

89.6

85.0

100
2 points
Question 6
1.
Given an activity’s optimistic, most likely, and pessimistic time estimates of 3, 5, and 13 days respectively, compute the expected time for this activity.

3

4

5

6

None of these
2 points
Question 7
1.
The optimistic time is the greatest amount of time that could be required to complete an activity.
True
False
2 points
Question 8
1.
Which of the following is not a decision variable when formulating the project crashing problem as a linear program?

the early finish times of critical activities

the early finish times of non critical activities

the start time of the project

the finish time of the project

the early start times of all activities
2 points
Question 9
1.
Table 12-1
The following represents a project with know activity times. All times are in weeks.

Using the data in Table 12-1, what is the latest possible time that C may be started without delaying completion of the project?

0

4

8

10

None of these
2 points
Question 10
1.
PERT stands for Probabilistic Evaluation and Review Technique.
True
False
2 points
Question 11
1.
Table 12-2
The following represents a project with four activities. All times are in weeks.

According to Table 12-2, there are four activities in the project. Assume the normal distribution is appropriate to use to determine the probability of finishing by a particular time. What is the probability that the project is finished in 16 weeks or fewer? (Round to two decimals.)

0.07

0.93

0.43

0.77

None of these
2 points
Question 12
1.
Table 12-5

How long could Table 12-5’s activity E be delayed without delaying the completion of the project?

7

16

11

18

None of these
2 points
Question 13
1.
PERT stands for ________.

probabilistic evaluation and review technique

program evaluation and review technique

probability of expected run times

program of expected run times

project evaluation and review technique
2 points
Question 14
1.
PERT

assumes that we do not know ahead of time what activities must be completed.

assumes that activity time estimates follow the normal probability distribution.

is a network technique that uses three time estimates for each activity in a project.

is a deterministic network technique that allows for project crashing.

None of these
2 points
Question 15
1.
Table 12-5

How long could Table 12-5’s activity F be delayed without delaying the project?

2

3

14

16

None of these
2 points
Question 16
1.
The expected time in PERT is

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.

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

None of these
2 points
Question 17
1.
The variance of the project completion time is equal to the sum of the variances of all the activities.
True
False
2 points
Question 18
1.
Consider the following linear programming problem:

The feasible corner points are (48,84), (0,120), (0,0), (90,0). What is the maximum possible value for the objective function?

1032

1200

360

1600

None of these
2 points
Question 19
1.
One of the assumptions of LP is “proportionality.”
True
False
2 points
Question 20
1.
Two models of a product   Regular (X) and Deluxe (Y)   are produced by a company. A linear programming model is used to determine the production schedule. The formulation is as follows:

The optimal solution is X=100, Y=0.

Which of these constraints is redundant?

the first constraint

the second constraint

the third constraint

All of these

None of these
2 points
Question 21
1.
In a maximization problem, when one or more of the solution variables and the profit can be made infinitely large without violating any constraints, the linear program has

an infeasible solution.

an unbounded solution.

a redundant constraint.

alternate optimal solutions.

None of these
2 points
Question 22
1.
A constraint with positive slack or surplus is called a

nonbinding constraint.

resource constraint.

binding constraint.

nonlinear constraint.

linear constraint.
2 points
Question 23
1.
Which of the following is not acceptable as a constraint in a linear programming problem (maximization)?

Constraint 1

Constraint 2

Constraint 3

Constraint 4

None of these
2 points
Question 24
1.
The rationality assumption implies that solutions need not be in whole numbers (integers).
True
False
2 points
Question 25
1.
A constraint with zero slack or surplus is called a

nonbinding constraint.

resource constraint.

binding constraint.

nonlinear constraint.

linear constraint.
2 points
Question 26
1.
Management resources that need control include machinery usage, labor volume, money spent, time used, warehouse space used, and material usage.
True
False
2 points
Question 27
1.
Which of the following is not one of the steps in formulating a linear program?

Graph the constraints to determine the feasible region.

Define the decision variables.

Use the decision variables to write mathematical expressions for the objective function and the constraints.

Identify the objective and the constraints.

Completely understand the managerial problem being faced.
2 points
Question 28
1.
Which of the following is a basic assumption of linear programming?

The condition of uncertainty exists.

Independence exists for the activities.

Proportionality exists in the objective function and constraints.

Divisibility does not exist, allowing only integer solutions.

Solutions or variables may take values from – ∞ to + ∞.

2 points
Question 29
1.
A widely used mathematical programming technique designed to help managers and decision making relative to resource allocation is called ________.

linear programming

computer programming

constraint programming

goal programming

None of these
2 points
Question 30
1.
Which of the following is not acceptable as a constraint in a linear programming problem (minimization)?

Constraint 1

Constraint 2

Constraint 3

Constraint 4

Constraint 5
2 points
Question 31
1.
Which of the following is not a part of every linear programming problem formulation?

an objective function

a set of constraints

non-negativity constraints

a redundant constraint

maximization or minimization of a linear function
2 points
Question 32
1.
When a constraint line bounding a feasible region has the same slope as an isoprofit line,

there may be more than one optimum solution.

the problem involves redundancy.

an error has been made in the problem formulation.

a condition of infeasibility exists.

None of these
2 points
Question 33
1.
A feasible solution to a linear programming problem

must be a corner point of the feasible region.

must satisfy all of the problem’s constraints simultaneously.

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

must give the maximum possible profit.

must give the minimum possible cost.
2 points
Question 34
1.
Which of the following control charts is/are for attributes?

p-chart

x-bar chart

R-chart

p-chart and x-bar chart

p-chart, x-bar chart, and R-chart
2 points
Question 35
1.
Table 16-1

Refer to Table 16-1. To guarantee that cans of soda 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. The lower control chart limit for the sample averages would be

12.1232.

11.8768.

13.2.

12.308.

None of these
2 points
Question 36
1.
A coffee dispenser is supposed to dispense coffee into an 8 o.z. cup. The average amount of coffee filled into the cup must be below 7.9. This is best monitored by which of the following control charts?

x-bar chart

R-chart

p-chart

c-chart

None of these
2 points
Question 37
1.
A company believes a process monitored by an x-bar chart to be in control. When the most recent control point exceeded the UCL value by 20%, the company should

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 these
2 points
Question 38
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 250. 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 2 sigma (95.5%) control chart?

35

40

50

200

None of these
2 points
Question 39
1.
R-charts measure changes in

central tendency.

degree of variation.

number of defects per production lot.

natural variations.

None of these
2 points
Question 40
1.
The U.S. government awards for quality achievement are called the Malcolm Baldrige National Quality Awards.
True
False
2 points
Question 41
1.
The p-chart would be useful when we

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 these
2 points
Question 42
1.

-charts indicate changes in

variation.

central tendency.

natural variations.

numbers of defects.

None of these
2 points
Question 43
1.
Variations that usually occur in a process are called

process variations.

natural variations.

control variations.

assignable variations.

None of these
2 points
Question 44
1.
Table 16-1

Refer to Table 16-1. The Pristine Paint Company produces paint in gallon cans. They have found that in more than 10 samples of 8 cans each, the average gallon can contains 1.1 gallons of paint. The average range found over these samples is 0.15 gallons. What is the upper control limit for the sample averages in this process?

1.100

1.150

1.268

1.156

None of these
2 points
Question 45
1.
A c-chart would be appropriate to monitor the number of weld defects on the steel plates of a ship’s hull.
True
False
2 points
Question 46
1.
Defects in computer hard-drives will usually render the entire computer worthless. For a particular model, the percent defective in the past has been 1%. If a sample size of 400 is taken, what would the 95.5% lower control chart limit be?

0.00995

0.00005

0.00000

0.01000

0.09550
2 points
Question 47
1.
Technically, to achieve Six Sigma quality, there would have to be fewer than ________ defects per million opportunities.

6

166,667

667

67

3.4
2 points
Question 48
1.
A quality control program is being developed for batteries. The percent defective for these in the past has been 3%. If a sample size of 120 is taken, what would the 99.7% upper control chart limit be?

0.0812

0.0767

0.0611

0.0307

0.0471
2 points
Question 49
1.
The R-chart would be useful when we

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 these
2 points
Question 50
1.
Table 16-1

Refer to Table 16-1. Bags of tea are sampled to ensure proper weight. The overall average for the samples is 8 ounces. Each sample contains 10 bags. The average range is 0.1 ounces. What is the lower limit of the sample averages chart?

7.9692

8.0308

7.9076

8.0924

None of these
2 points
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