The crash time of an activity represents
admin
111) The crash time of an activity
represents
A) the normal time to complete an
activity.
B) the most pessimistic time to complete
an activity.
C) the incremental decrease in the time to
complete an activity.
D) the shortened activity time.
E) None of the above
112) Reducing the overall activity time is
based on which of the following steps?
A) crashing activities with the lowest
overall crash cost
B) crashing activities with the lowest
overall normal cost
C) crashing activities on the critical
path based on lowest overall cost
D) crashing activities on the critical
path based on lowest cost/week
E) crashing activities with the lowest
cost/week
113) An alternative approach to project
crashing is to use which of the following techniques?
A) linear programming
B) nonlinear programming
C) Markov analysis
D) queuing theory
E) None of the above
114) Which of the following is not
a decision variable when formulating the project crashing problem as a linear
program?
A) the early finish times of critical
activities
B) the early finish times of noncritical
activities
C) the start time of the project
D) the finish time of the project
E) the early start times of all activities
115) Which of the following statements
about project crashing is false?
A) The crash cost is greater than or equal
to the normal cost of an activity.
B) The crash time is less than or equal to
the normal time to complete an activity.
C) Reducing the time of an activity on the
critical path automatically reduces total project duration.
D) It may not be possible to crash a
particular activity.
E) Crashing may not lead to an overall
reduction in costs for the project.
116) The process of smoothing out the
utilization of resources in a project is called
A) CPM.
B) PERT.
C) project crashing.
D) work breakdown structure.
E) resource leveling.
117) Consider the following project
schedule:
Activity
Immediate
Predecessor
Time
ES
EF
LS
LF
A
—
4
0
4
6
10
B
—
5
0
5
0
5
C
A
3
4
7
10
13
D
B
8
5
13
5
13
E
B
2
5
7
16
18
F
C,
D
3
13
16
15
18
G
C,
D
7
13
20
13
20
H
E,
F
2
16
18
18
20
(a) Which activities are critical?
(b) Which activity has the most slack?
118) Consider the project with the
following estimates for activity times and precedence relationships:
Activity
Optimistic
Time
Most
Likely
Time
Pessimistic
Time
Immediate
Predecessor(s)
A
3
4
5
—
B
5
7
9
—
C
2
3
10
A
D
2
5
8
B
E
1
7
7
B
F
3
5
7
C,
D
G
7
8
9
D,
E
H
2
6
10
F
(a) What is the expected duration of the
project?
(b) What is the project variance?
(c) If the deadline of the project is 25
days, what is the probability of finishing the project on time?
119) Consider the tasks, durations, and
predecessor relationships in the following network. Draw the network and answer
the questions that follow.
Activity
Immediate
Predecessors)
Optimistic
(Weeks)
Most
Likely
(Weeks)
Pessimistic
(Weeks)
A
—
4
7
10
B
A
2
8
20
C
A
8
12
16
D
B
1
2
3
E
D,
C
6
8
22
F
C
2
3
4
G
F
2
2
2
H
F
6
8
10
I
E,
G, H
4
8
12
J
I
1
2
3
(a) What is the expected duration of the
project?
(b) What is the probability of completion
of the project before week 42?
120) Given:
Activity
Optimistic
Most
Likely
Pessimistic
A
3
4
5
B
6
7
14
C
6
9
12
D
0.5
1
1.5
E
2
3
10
F
4
5
12
G
1
3
11
.jpg”>
Determine:
(a) the critical path.
(b) the probability that the project will
be completed in 22 weeks.
121) A small software development project
has five major activities. The times are estimated and provided in the table
below.
Activity
Immediate
Predecessor
a
m
b
A
—
2
5
8
B
—
10
10
10
C
A
4
7
10
D
B
2
5
14
E
C
3
3
3
(a) What is the expected completion time
for this project?
(b) What variance would be used in finding
probabilities of finishing by a certain time?
122) Development of a new deluxe version
of a particular software product is being considered. The activities necessary
for the completion of this are listed in the table below (Time in weeks).
Activity
Normal
Time
Crash
Time
Normal
Cost
Crash
Cost
Immediate
Predecessor
A
4
3
2200
2600
—
B
2
1
2200
2800
—
C
3
3
500
500
—
D
8
4
2300
2600
A
E
6
3
900
1200
B
F
3
2
3000
4200
C
G
4
2
1400
2000
D,
E
(a) What is the project completion date?
(b) What is the total cost required for
completing this project on normal time?
(c) If you wish to reduce the time
required to complete this project by one week, which activity should be
crashed, and how much will this increase the total cost?
123) Draw the PERT network associated with
the following activities.
Activity
Immediate
Predecessor
A
—
B
A
C
A
D
B
E
B
F
C,
E
G
A,
D
H
F
I
F
J
G,
H, I
124) Given (Time in weeks):
Activity
Optimistic
Most
Likely
Pessimistic
A
3
4
5
B
6
7
14
C
2
3
10
D
6
9
12
E
4
5
12
F
1
3
11
G
1
2
9
H
2
5
8
I
1
4
7
.jpg”>
Determine:
(a) the critical path.
(b) the probability that the project will
be completed in 22 weeks.
125) A small software development project
has four major activities. The times are estimated and provided in the table
below.
Activity
Immediate
Predecessor
a
m
b
A
—
2
5
8
B
A
3
6
9
C
A
4
7
10
D
B
2
5
14
E
D
3
3
3
F
C
6
8
10
G
E,
F
1
1
1
H
C
6
10
14
I
G,
H
3
4
5
(a) What is the expected completion time
for this project?
(b) What variance would be used in finding
probabilities of finishing by a certain time?
111) The crash time of an activity
representsA) the normal time to complete an
activity.B) the most pessimistic time to complete
an activity.C) the incremental decrease in the time to
complete an activity.D) the shortened activity time.E) None of the above112) Reducing the overall activity time is
based on which of the following steps?A) crashing activities with the lowest
overall crash costB) crashing activities with the lowest
overall normal costC) crashing activities on the critical
path based on lowest overall costD) crashing activities on the critical
path based on lowest cost/weekE) crashing activities with the lowest
cost/week113) An alternative approach to project
crashing is to use which of the following techniques?A) linear programmingB) nonlinear programmingC) Markov analysisD) queuing theoryE) None of the above114) Which of the following is not
a decision variable when formulating the project crashing problem as a linear
program?A) the early finish times of critical
activitiesB) the early finish times of noncritical
activitiesC) the start time of the projectD) the finish time of the projectE) the early start times of all activities115) Which of the following statements
about project crashing is false?A) The crash cost is greater than or equal
to the normal cost of an activity.B) The crash time is less than or equal to
the normal time to complete an activity.C) Reducing the time of an activity on the
critical path automatically reduces total project duration.D) It may not be possible to crash a
particular activity.E) Crashing may not lead to an overall
reduction in costs for the project.116) The process of smoothing out the
utilization of resources in a project is calledA) CPM.B) PERT.C) project crashing.D) work breakdown structure.E) resource leveling.117) Consider the following project
schedule:ActivityImmediatePredecessorTimeESEFLSLFA–404610B–50505CA3471013DB8513513EB2571618FC,
D313161518GC,
D713201320HE,
F216181820(a) Which activities are critical?(b) Which activity has the most slack?118) Consider the project with the
following estimates for activity times and precedence relationships:ActivityOptimisticTimeMostLikely
TimePessimisticTimeImmediatePredecessor(s)A345—B579—C2310AD258BE177BF357C,
DG789D,
EH2610F(a) What is the expected duration of the
project?(b) What is the project variance?(c) If the deadline of the project is 25
days, what is the probability of finishing the project on time?119) Consider the tasks, durations, and
predecessor relationships in the following network. Draw the network and answer
the questions that follow.ActivityImmediatePredecessors)Optimistic(Weeks)Most
Likely(Weeks)Pessimistic(Weeks)A—4710BA2820CA81216DB123ED,
C6822FC234GF222HF6810IE,
G, H4812JI123(a) What is the expected duration of the
project?(b) What is the probability of completion
of the project before week 42?120) Given:ActivityOptimisticMostLikelyPessimisticA345B6714C6912D0.511.5E2310F4512G1311.jpg”>Determine:(a) the critical path.(b) the probability that the project will
be completed in 22 weeks.121) A small software development project
has five major activities. The times are estimated and provided in the table
below.ActivityImmediatePredecessorambA–258B–101010CA4710DB2514EC333(a) What is the expected completion time
for this project?(b) What variance would be used in finding
probabilities of finishing by a certain time?122) Development of a new deluxe version
of a particular software product is being considered. The activities necessary
for the completion of this are listed in the table below (Time in weeks).ActivityNormalTimeCrash
TimeNormalCostCrashCostImmediatePredecessorA4322002600–B2122002800–C33500500–D8423002600AE639001200BF3230004200CG4214002000D,
E(a) What is the project completion date?(b) What is the total cost required for
completing this project on normal time?(c) If you wish to reduce the time
required to complete this project by one week, which activity should be
crashed, and how much will this increase the total cost?123) Draw the PERT network associated with
the following activities.ActivityImmediatePredecessorA–BACADBEBFC,
EGA,
DHFIFJG,
H, I124) Given (Time in weeks):ActivityOptimisticMost
LikelyPessimisticA345B6714C2310D6912E4512F1311G129H258I147.jpg”>Determine:(a) the critical path.(b) the probability that the project will
be completed in 22 weeks.125) A small software development project
has four major activities. The times are estimated and provided in the table
below.ActivityImmediatePredecessorambA–258BA369CA4710DB2514ED333FC6810GE,
F111HC61014IG,
H345(a) What is the expected completion time
for this project?(b) What variance would be used in finding
probabilities of finishing by a certain time?
