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see pdf file attachedbe careful and follow all details and include all calculations.please be very organized and do not miss any detail.
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CON E 401
PERT
Name:
IMPORTANT: To receive credit for your answers, you MUST
show your calculations
Problem 1 (10 pts)
Solve the PERT network and answer the questions that follow. Show your calculations
For all calculations use 2 decimals.
C
20
G
40
7-8-10
3-4-10
A
12-15-20
10
B
2-4-7
4-6-9
D
30
50
3-3-3
70
J
H
6-6-8
K
80
5-9-10
E
4-8-12
L
6-10-15
M
60
I
10-11-13
90
1. What is the Early Start of J?
2. What is the Late Finish of D?
3. What is the Free Slack of K?
4. What is the Total Slack of G?
5. Event Slack for Event 90
6. Project mean duration?
7. Critical activities?
8. Std deviation of the critical path?
9. Probability of completing the project in 38.0 days or less?
10. Probability that the project will be completed between 35 and
40 days?
5-7-11
95
Problem 2 (10 pts)
For the PERT network, answer the questions that follow. Show your calculations
For all calculations use 2 decimals.
E
20
90
6-9-11
A
F
50
3-5-9
Q
85
4-9-11
4-7-11
R
6-8-12
B
10
40
3-4-6
C
K
6-8-12
H
P
70
5-8-10
8-11-14
N
5-9-11
3-9-15
30
L
5-9-11
60
95
M
7-9-12
1. Early Start of Q
ESQ =
2. Free Slack of E
FSE=
80
3. Critical path activities
4. Project mean duration
Te=
5. Std deviation of critical path
σ=
6. Free Slack of Activity B:
AFSB =
7. Total Slack of Activity L:
ATSL =
8. Event Slack of 20:
ES20 =
9. Probability of completing the project in 40 days
or less =
10. Probability of completing the project between 40
and 45 days
P[t
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