Question 1

Use the following network of related activities with their duration times to complete a row for each activity under the column headings below.  $$\begin{array} { | c | c | c | c | c | c | c | c | c | } 
\hline \text { Activity } & \begin{array} { c } 
\text { Immectate } \
\text { Predecessors }
\end{array} & \begin{array} { c } 
\text { Activity } \
\text { Time }
\end{array} & E S & L S & E F & L F & \text { Sack } & \begin{array} { c } 
\text { Critical } \
\text { Path? }
\end{array} \
\hline \text { A } & & & & & & & & \
\hline \text { B } & & & & & & & & \
\hline \text { C } & & & & & & & & \
\hline \text { D } & & & & & & & & \
\hline \text { E } & & & & & & & & \
\hline \text { F } & & & & & & & & \
\hline \text { G } & & & & & & & & \
\hline \text { H } & & & & & & & & \
\hline \text { I } & & & & & & & & \
\hline \text { J } & & & & & & & & \
\hline
\end{array}$$

Accepted Answer

The answer of Use the following network of related activities...

Question 2

Precedence relationships among activities is critical in CPM analysis but not in PERT.

Accepted Answer

A) True 
 B)False

Question 3

A project has the following activities,durations,costs,and precedence relationships: $$\begin{array} { c c c c c c } 
\hline & \begin{array} { c } 
\text { Present } \
\text { Duration } \
\text { (Weeks) }
\end{array} & \begin{array} { c } 
\text { Accelerated } \
\text { Duration } \
\text { (Weeks) }
\end{array} & \begin{array} { c } 
\text { Immediate } \
\text { Predecessor } \
\text { Activities }
\end{array} & \begin{array} { c } 
\text { Present } \
\text { Cost }
\end{array} & \begin{array} { c } 
\text { Accelerated } \
\text { Cost }
\end{array} \
\hline \text { A } & 10 & 9 & \cdots & \$ 11,000 & \$ 15,000 \
\text { B } & 15 & 13 & \cdots & 20,000 & 25,000 \
\text { C } & 10 & 6 & \text { A } & 9,000 & 20,000 \
\text { D } & 20 & 18 & \text { A } & 25,000 & 30,000 \
\text { E } & 15 & 10 & \text { C } & 20,000 & 35,000 \
\text { F } & 17 & 15 & \text { B } & 20,000 & 30,000 \
\text { G } & 12 & 10 & \text { B } & 15,000 & 25,000 \
\text { H } & 9 & 8 & \text { D,F } & 12,000 & 18,000 \
\text { I } & 7 & 6 & \text { G, H } & 10,000 & 15,000 \
\hline \hline
\end{array}$$ Develop a cost-time trade-off analysis.Detail the steps that you would use to accelerate or crash the project to its minimum duration at the lowest cost.Determine each step's cost and the duration of the project.

Accepted Answer

The answer of A project has the following activities,durations,costs,and precedence...

Question 4

Critical activities are those that can be delayed without delaying the entire project.

Accepted Answer

A) True 
 B)False

Question 5

Name at least three managerial situations where answers are provided by project management solutions.

Accepted Answer

The answer of Name at least three managerial situations where...

Question 6

The variance in the project completion time is the sum of the variances of all activities in the project.

Accepted Answer

A) True 
 B)False

Question 7

The latest finish time for an activity is the largest of the latest start times for all activities that immediately follow the activity.

Accepted Answer

A) True 
 B)False

Question 8

National Oil Company (NATOCO)must plan the shutdown of its Houston refinery for routine preventive maintenance.Each hour of downtime is lost production time and is very costly,so NATOCO wants the maintenance project completed in 22 hours.The PERT network below shows the precedence relationships of the activities involved in the project.The table gives the activity times and costs under normal operations and maximum crashing.
NATOCO wants to know the minimum cost of completing the maintenance project within the 22-hour period.Formulate and solve a linear program that will yield this information.  $$\begin{array} { c c c c c } 
\text { Activity } & \begin{array} { c } 
\text { Normal } \
\text { Time (hr) }
\end{array} & \begin{array} { c } 
\text { Normal } \
\text { Cost }
\end{array} & \begin{array} { c } 
\text { Crash } \
\text { Time (hr) }
\end{array} & \begin{array} { c } 
\text { Crash } \
\text { Cost }
\end{array} \
\text { A } & 2 & \$ 2,000 & 1.5 & \$ 3,000 \
\text { B } & 4 & 3,000 & 3 & 3,500 \
\text { C } & 1 & 1,500 & 1 & 1,500 \
\text { D } & 4 & 5,300 & 2.5 & 8,000 \
\text { E } & 6 & 5,400 & 5 & 7,000 \
\text { F } & 10 & 6,000 & 8 & 9,000 \
\text { G } & 8 & 4,800 & 5 & 9,900 \
\text { H } & 2 & 2,800 & 1 & 2,900 \
\text { I } & 5 & 4,500 & 4 & 5,000 \
\text { J } & 12 & 6,000 & 6 & 9,600 \
\text { K } & 7 & 7,000 & 4 & 9,700 \
\text { L } & 11 & 8,800 & 9 & 9,200 \
\text { M } & 4 & 1,000 & 1 & 7,000
\end{array}$$

Accepted Answer

The answer of National Oil Company (NATOCO)must plan the shutdown...

Question 9

From this schedule of activities,draw the PERT/CPM network. $$\begin{array} { c c } 
\text { Activity } & \begin{array} { c } 
\text { Immediate } \
\text { Predecessor }
\end{array} \
\hline \text { A } & \cdots \
\text { B } & \text { A } \
\text { C } & \text { B } \
\text { D } & \text { B } \
\text { E } & \text { A } \
\text { F } & \text { C, D } \
\text { G } & \text { E, F }
\end{array}$$

Accepted Answer

The answer of From this schedule of activities,draw the PERT/CPM...

Question 10

Constraints in the LP models for crashing decisions are required to compare the activity's earliest finish time with the earliest finish time of each predecessor.

Accepted Answer

A) True 
 B)False

Question 11

PERT and CPM are applicable only when there is no dependence among activities.

Accepted Answer

A) True 
 B)False

Question 12

PERT and CPM

Accepted Answer

A) are most valuable when a small number of activities must be scheduled. 
B) have different features and are not applied to the same situation. 
C) do not require a chronological relationship among activities. 
D) have been combined to develop a procedure that uses the best of each.

Question 13

A project consists of five activities.Naturally the paint mixing precedes the painting activities.Also,both ceiling painting and floor sanding must be done prior to floor buffing. $$\begin{array} { l c c c } 
\text { Activity } & \begin{array} { c } 
\text { Optimistic } \
\text { Time (hr) }
\end{array} & \begin{array} { c } 
\text { Most Probable } \
\text { Time (hr) }
\end{array} & \begin{array} { c } 
\text { Pessimistic } \
\text { Time (hr) }
\end{array} \
\hline \text { Floor sanding } & 3 & 4 & 5 \
\text { Floor buffing } & 1 & 2 & 3 \
\text { Paint mixing } & 0.5 & 1 & 1.5 \
\text { Wall painting } & 1 & 2 & 9 \
\text { Ceiling painting } & 1 & 5.5 & 7
\end{array}$$ 
a.Construct the PERT/CPM network for this problem.
b.What is the expected completion time of this project?
c.What is the probability that the project can be completed within 9 hr.?

Accepted Answer

The answer of A project consists of five activities.Naturally the...

Question 14

A senior MIS design class project team has developed the following schedule of activities for their project,using their best estimate of completion times.Both written and oral reports are required.Draw the project network.Can they complete the project in the 38 class days remaining until the end of the semester? $$\begin{array} { l l c c } 
& { \text { Activity } } & \text { Time } & \text { Immediate Predecessor } \
\hline \text { A. } & \text { Find dient } & 4 & \cdots \
\text { B. } & \text { Write prospectus } & 2 & \text { A } \
\text { C. } & \text { Obtain approval from client and professor } & 3 & \mathrm {~B} \
\text { D. } & \text { Complete programming } & 12 & \mathrm { C } \
\text { E. } & \text { Do industry background research } & 10 & \cdots \
\text { F. } & \text { Write final paper } & 6 & \text { D, E } \
\text { G. } & \text { Write oral report } & 5 & \text { D, E }
\end{array}$$

Accepted Answer

The answer of A senior MIS design class project team...

Question 15

When activity times are uncertain,an activity's most likely time is the same as its expected time.

Accepted Answer

A) True 
 B)False

Question 16

Mary Yetter,a staff analyst at the Los Angeles plant of Computer Products Corporation,is assigned to the team that is developing the process design for producing the bar code scanner of Example 1.The corporate planning group in San Jose,California has contacted her and has asked how confident the design group is about completing the project in 60 days.She has developed these estimated time durations in days for the project: $$\begin{array} { c c c c c } 
\hline \hline \text { Activity } & \begin{array} { c } 
\text { Immediate } \
\text { Predecessor } \
\text { Activities }
\end{array} & \begin{array} { c } 
\text { Optimistic } \
\text { Time } \left( t _ { 0 } \right)
\end{array} & \begin{array} { c } 
\text { Most Likely } \
\text { Time } \left( t _ { \mathrm { m } } \right)
\end{array} & \begin{array} { c } 
\text { Pessimistic } \
\text { Time } \left( t _ { \mathrm { p } } \right)
\end{array} \
\hline \text { A } & - & 10 & 12 & 15 \
\text { B } & \text { A } & 6 & 10 & 14 \
\text { C } & \text { A } & 10 & 15 & 20 \
\text { D } & \text { A } & 9 & 9 & 18 \
\text { E } & \text { B } & 5 & 6 & 8 \
\text { F } & \text { C,E } & 10 & 12 & 13 \
\text { G } & \text { B } & 12 & 14 & 16 \
\text { H } & \text { B,D } & 18 & 21 & 24 \
\text { I } & \text { B,D } & 10 & 15 & 20 \
\text { J } & \text { F.G.H } & 8 & 10 & 14 \
\hline \hline
\end{array}$$ 
a. Compute the expected time and variance for each activity.
b. Determine the critical path and the expected duration of the project.
c. What is the probability that the project will take longer than 58 days to complete?
d. Which path in the project network offers the greatest risk of overrunning a new deadline of 56 days?

Accepted Answer

The answer of Mary Yetter,a staff analyst at the Los...

Question 17

Arcs in a project network indicate

Accepted Answer

A) completion times. 
B) precedence relationships. 
C) activities. 
D) the critical path.

Question 18

Slack equals

Accepted Answer

A) LF F1F1F1S1F1F1F10 EF. 
B) EF F1F1F1S1F1F1F10 LF. 
C) EF F1F1F1S1F1F1F10 LS. 
D) LF F1F1F1S1F1F1F10 ES.

Question 19

Joseph King has ambitions to be mayor of Williston,North Dakota.Joe has determined the breakdown of the steps to the nomination and has estimated normal and crash costs and times for the campaign as follows (times are in weeks).  Joe King is not a wealthy man and would like to organize a 16-week campaign at minimum cost.Write and solve a linear program to accomplish this task.

Accepted Answer

The answer of Joseph King has ambitions to be mayor...

Question 20

The project manager should monitor the progress of any activity with a large time variance even if the expected time does not identify the activity as a critical activity.

Accepted Answer

A) True 
 B)False

Exam 13: Project Scheduling: Pertcpm

Precedence relationships among activities is critical in CPM analysis but not in PERT.

Critical activities are those that can be delayed without delaying the entire project.

Name at least three managerial situations where answers are provided by project management solutions.

The variance in the project completion time is the sum of the variances of all activities in the project.

The latest finish time for an activity is the largest of the latest start times for all activities that immediately follow the activity.

Constraints in the LP models for crashing decisions are required to compare the activity's earliest finish time with the earliest finish time of each predecessor.

PERT and CPM are applicable only when there is no dependence among activities.

PERT and CPM

When activity times are uncertain,an activity's most likely time is the same as its expected time.

Arcs in a project network indicate

Slack equals

The project manager should monitor the progress of any activity with a large time variance even if the expected time does not identify the activity as a critical activity.