Question

QUESTION 1The activities summarized in the following table must be preformed by the promoter of a country music concert in Dallas. Imme

Part1. The total expected project completion time is:

A. 10 days

B. 11 days

C. 15 days

D. none of the above

Part 2. What is the effect of a delay of 1 day in distributing tickets?

A. no impact

B. the project will delay by one day

C. the project will delay by more than one day

D. same as the effect of a delay of 1 day in setting up radio ads

Part 3. What is the critical path for this project (CAN SELECT MULTIPLE)

1. A-> B -> E

2. A-> C -> E-> F -> H -> I

3. A-> C-> F-> H -> I

4. A->B->G

5.A->B->F->H->I

Part 4. Suppose each activity has a standard deviation of 0.5 days. What is the probability that the project can be completed in 10 days? (If there are multiple critical paths, then use the critical path with the largest standard deviation.)

A. .04 or less

B. More than .04 but less than .15

C. .15 or more

Part 5. What is the least costly way to crash the project in order to complete it one day earlier? (Can select multiple)

Activity Crash Cost Maximum per Day Crash Days $6000 $3000 $2000 $4500 $7000 2 $3000 $5000 2 Cannot be crashed Cannot be cras

B by 1 day

D by 2 days

C by 1 day

E by 1 day

F by 1 day

C by 2 days

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Answer #1
Activity Duration
A 4
B 3
C 3
D 2
E 5
F 2
G 3
H 1
I 2
Path Length
ABD 9
ABE 12
ABG 10
ABFHI 12
ACFHI 12
Critical paths expected project completion time (days)
ABFHI,ACFHI, ABE 12


Part1. The total expected project completion time is:

Answer 1---- D. none of the above




Part 2. What is the effect of a delay of 1 day in distributing tickets?

Answer 2
B. the project will delay by one day


Because Activity E lies on Critical Path (ABE), any delay for the activites lying on critical path would cause a equal delay on the project completion

Part 3. What is the critical path for this project (CAN SELECT MULTIPLE)

1. A-> B -> E - YES

3. A-> C-> F-> H -> I - YES

5. A->B->F->H->I - YES

Part 4. Suppose each activity has a standard deviation of 0.5 days. What is the probability that the project can be completed in 10 days? (If there are multiple critical paths, then use the critical path with the largest standard deviation.)

Answer A. .04 or less

Activity Duration StDev Variance (StDev^2)
A 4 0.5 0.25
B 3 0.5 0.25
C 3 0.5 0.25
D 2 0.5 0.25
E 5 0.5 0.25
F 2 0.5 0.25
G 3 0.5 0.25
H 1 0.5 0.25
I 2 0.5 0.25
Path Length Variance
ABD 9
ABE 12 0.75
ABG 10
ABFHI 12 1.25
ACFHI 12 1.25
Critical path expected project
completion time
Valiance Standard Deviation,
σ (=sqrt(variance))
ABFHI,ACFHI 12 1.25 1.118
If there are more than 1 critical paths,
then the project duration will be
calculated using the path with highest Variance
Critical Path ABFHI,ACFHI
mean project time (u) of critical path is= 12.00
Required completion time 10
standard deviation= sqrt(variance)= 1.118
because Z= (given completion time- u)/standard deviation -1.79
P(z)= using NORM.S.DIST(z,true) 0.0367
the probability of completing within 10 days= 0.0367

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