QUESTION 1
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)
B by 1 day |
||
D by 2 days |
||
C by 1 day |
||
E by 1 day |
||
F by 1 day |
||
C by 2 days |
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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