30 Questions

Questions and Answers

- 1.Which of the following statements about Bechtel is
**true**?- A.
Even though Bechtel is over 100 years old, the Kuwaiti oil fields was its first "project."

- B.
Bechtel is the world's premier manager of massive construction and engineering projects.

- C.
Bechtel's competitive advantage is supply chain management.

- D.
While its projects are worldwide, its network of suppliers is largely in the U.S.

- E.
All of the above are true.

- 2.A code of ethics especially for project managers
- A.
Has been established by the Project Management Institute

- B.
Has been formulated by the Federal government

- C.
Has been formulated by the World Trade Organization

- D.
Is inappropriate, since everyone should use the same guidance on ethical issues

- E.
Does not exist at this time

- 3.Which of the following statements regarding Gantt charts is
**true**?- A.
Gantt charts give a timeline and precedence relationships for each activity of a project.

- B.
Gantt charts use the four standard spines of Methods, Materials, Manpower, and Machinery.

- C.
Gantt charts are visual devices that show the duration of activities in a project.

- D.
Gantt charts are expensive.

- E.
All of the above are true.

- 4.Which of the following statements regarding critical paths is
**true**?- A.
The shortest of all paths through the network is the critical path.

- B.
Some activities on the critical path may have slack.

- C.
Every network has exactly one critical path.

- D.
On a specific project, there can be multiple critical paths, all with exactly the same duration.

- E.
The duration of the critical path is the average duration of all paths in the project network.

- 5.
- A.
The critical path is A-B-C, duration 15.

- B.
The critical path is A-C, duration 12.

- C.
The critical path is A-B-C, duration 13.5

- D.
The critical path cannot be determined without knowing PERT expected activity times.

- E.
The network has no critical path.

- 6.A simple CPM network has three activities, D, E, and F. D is an immediate predecessor of E and of F. E is an immediate predecessor of F. The activity durations are D=4, E=3, F=8.
- A.
The critical path is D-E-F, duration 15.

- B.
The critical path is D-F, duration 12.

- C.
Slack at D is 3 units

- D.
Slack at E is 3 units

- E.
Both a and c are true

- 7.
- A.
There are two paths in this network.

- B.
There are four paths in this network.

- C.
There are five paths in this network.

- D.
There are 25 paths through this network.

- E.
None of these statements is true.

- 8.Which of the following statements regarding CPM networks is
**true**?- A.
There can be multiple critical paths on the same project, all with different durations.

- B.
The early finish of an activity is the latest early start of all preceding activities.

- C.
The late start of an activity is its late finish plus its duration.

- D.
If a specific project has multiple critical paths, all of them will have the same duration.

- E.
All of the above are true.

- 9.Which of the following statements concerning CPM activities is
**false**?- A.
The early finish of an activity is the early start of that activity plus its duration.

- B.
The late finish is the earliest of the late start times of all successor activities.

- C.
The late start of an activity is its late finish less its duration.

- D.
The late finish of an activity is the earliest late start of all preceding activities.

- E.
The early start of an activity is the latest early finish of all preceding activities.

- 10.The critical path for the network activities shown below is _____ with duration ______. Activity Duration Immediate Predecessors A 4 --- B 2 A C 7 -- D 4 A E 5 B,C,D
- A.
A-B-D; 10

- B.
A-B-E; 11

- C.
C-E; 12

- D.
A-D-E; 13

- E.
A-B-C-D-E; 22

- 11.The critical path for the network activities shown below is _____ with duration ______. Activity Duration Immediate Predesssors A 2 ------------------ B 4 -------------- C 6 A.B D 1 A,B E 2 B,C,D
- A.
A-D-E; 5

- B.
B-E; 6

- C.
B-D-E; 7

- D.
A-C-E; 10

- E.
B-C-E; 12

- 12.The critical path for the network activities shown below is _____ with duration ______. Activity Duration Immediate Predesssors A 10 ------------------ B 8 -------------- C 2 A D 4 A E 5 B,C,D
- A.
A-C; 12

- B.
A-D-E; 19

- C.
B-E; 13

- D.
A-B-C-D-E; 29

- E.
None of the above

- 13.Which of the following statements regarding PERT times is
**true**?- A.
Expected time is an estimate of the time an activity will require if everything goes as planned.

- B.
The optimistic time estimate is an estimate of the maximum time an activity will require.

- C.
The probable time estimate is calculated as t = (a+4m+b)/6.

- D.
Pessimistic time estimate is an estimate of the minimum time an activity will require.

- E.
Most likely time estimate is an estimate of the maximum time an activity will require.

- 14.The critical path of the following network is:
- A.
1-3, 3-4, 4-5

- B.
2-3, 3-4, 4-5

- C.
2-3, 3-5

- D.
1-4, 4-5

- E.
Two of the Above

- 15.Which of the following represents valid constraints in linear programming?
- A.
2X ≥ 7X*Y

- B.
2X*7Y≥500

- C.
2X+7Y≥100

- D.
2X2+7Y≥50

- E.
All of the above are valid linear programming constraints.

- 16.Which of the following is
**not**a requirement of a linear programming problem?- A.
An objective function, expressed in terms of linear equations

- B.
Constraint equations, expressed as linear equations

- C.
An objective function, to be maximized or minimized

- D.
Alternative courses of action

- E.
For each decision variable, there must be one constraint or resource limit

- 17.In linear programming a statement such as "maximize contribution" becomes a(n)
- A.
Constraint

- B.
Slack variable

- C.
Objective function

- D.
Violation of linearity

- E.
Decision variable

- 18.An iso-profit line
- A.
Can be used to help solve a profit maximizing linear programming problem

- B.
Is parallel to all other iso-profit lines in the same problem

- C.
Is a line with the same profit at all points

- D.
None of the above

- E.
All of the above

- 19.Which of the following combinations of constraints has no feasible region?
- A.
X+Y>15andX–Y<10

- B.
X+Y>5andX>10

- C.
X>10andY>20

- D.
X+Y>100andX+Y<50

- E.
All of the above have a feasible region.

- 20.The corner point solution method requires
- A.
Finding the value of the objective function at the origin

- B.
Moving the iso-profit line to the highest level that still touches some part of the feasible regio

- C.
Moving the iso-profit line to the lowest level that still touches some part of the feasible region

- D.
Finding the coordinates at each corner of the feasible solution space

- E.
None of the above

- 21.Which of the following sets of constraints results in an unbounded maximizing problem?
- A.
X+Y>100andX+Y<50

- B.
X+Y>15andX–Y<10

- C.
X+Y<10andX>5

- D.
X<10andY<20

- E.
All of the above have a bounded maximum.

- 22.The region which satisfies all of the constraints in graphical linear programming is called the
- A.
Area of optimal solutions

- B.
Area of feasible solutions

- C.
Profit maximization space

- D.
Region of optimality

- E.
Region of non-negativity

- 23.For the two constraints given below, which point is in the feasible region of this maximization problem? (1)14x+6y<42 (2)x-y<3
- A.
X = 2, y = 1

- B.
X = 1, y = 5

- C.
X = -1, y = 1

- D.
X = 4, y = 4

- E.
X = 2, y = 8

- 24.For the two constraints given below, which point is in the feasible region of this minimization problem? (1)14x+6y>42 (2)x-y>3
- A.
X = -1, y = 1

- B.
X = 0, y = 4

- C.
X = 2, y = 1

- D.
X = 5, y = 1

- E.
X = 2, y = 0

- 25.What combination of x and y will yield the optimum for this problem? Maximize $3x + $15y, subject to (1) 2x + 4y < 12 and (2) 5x + 2y < 10.
- A.
X = 2, y = 0

- B.
X = 0, y = 3

- C.
X = 0, y = 0

- D.
X = 1, y = 5

- E.
None of the above

- 26.A maximizing linear programming problem has two constraints: 2X + 4Y < 100 and 3X + 10Y < 210, in addition to constraints stating that both X and Y must be nonnegative. The corner points of the feasible region of this problem are
- A.
(0, 0), (50, 0), (0, 21), and (20, 15)

- B.
(0, 0), (70, 0), (25, 0), and (15, 20)

- C.
(20, 15)

- D.
(0, 0), (0, 100), and (210, 0)

- E.
None of the above

- 27.A linear programming problem has two constraints 2X + 4Y ≤ 100 and 1X + 8Y ≤ 100. Which of the following statements about its feasible region is
**true**?- A.
There are four corner points including (50, 0) and (0, 12.5).

- B.
The two corner points are (0, 0) and (50, 12.5).

- C.
The graphical origin (0, 0) is not in the feasible region.

- D.
The feasible region includes all points that satisfy one constraint, the other, or both.

- E.
The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.

- 28.A linear programming problem contains a restriction that reads "the quantity of X must be at least three times as large as the quantity of Y." Which of the following inequalities is the proper formulation of this constraint?
- A.
3X≥Y

- B.
X≤3Y

- C.
X+Y≥3

- D.
X–3Y≥0

- E.
3X≤Y

- 29.A firm makes two products, Y and Z. Each unit of Y costs $10 and sells for $40. Each unit of Z costs $5 and sells for $25. If the firm's goal were to maximize sales revenue, the appropriate objective function would be
- A.
Maximize $40Y = $25Z

- B.
Maximize $40Y + $25Z

- C.
Maximize $30Y + $20Z

- D.
Maximize 0.25Y + 0.20Z

- E.
None of the above

- 30.A linear programming maximization problem has been solved. In the optimal solution, two resources are scarce. If an added amount could be found for only one of these resources, how would the optimal solution be changed?
- A.
The shadow price of the added resource will rise

- B.
The solution stays the same; the extra resource can't be used without more of the other scarce resource.

- C.
The extra resource will cause the value of the objective to fall.

- D.
The optimal mix will be rearranged to use the added resource, and the value of the objective function will rise.

- E.
None of the above