The following fourteen (14) activities make up a small construction project. The table shows the duration of each activity and its relationship with succeeding and preceding activities. ACTIVITY DURATION RELATIONSHIPS Activity B starts one day after start of Activity A Activity C starts after Activity A is completed Activity D starts at the same time as Activity A (DAYS) A Commences project B 5 C 5 D 6 E 6 F 7 G 10 H 7 Start of F to start of H. Lead time = 6 days Finish of E to finish of F. Lead time = 5 days 4 Start of F to start of I. Lead time = 4 days Activity I cannot start until Activity G is completed 8 M 2 N 1. 2. There is a lead time of 4 days from the finish of Activity B and the finish of Activity E (F.T.F LT=4) There is a lead time of 4 days from start of Activity C and start of Activity F (STS LT = 4) Start of C to start of G. A lead time of 4 days (STS LT 4) Activity J follows the completion of Activity I, Activity H and Activity D Activity K follows the completion of Activity G. Also there is a lead time of 2 days from the finish of I to the finish of K (F.T.FLT=2) Start of Activity I to start of Activity L. There is a lead time of 2 days Activity L follows the completion of Activity G Start of Activity K to start of Activity M. Lead time 2 days. Start of Activity L to start of Activity M. Lead time 2 days Activity N cannot start until both Activities J and M are completed Draw the precedence diagram showing the relationships of the activities. (8 Marks) Complete the backward and forward passes on the network and indicate the E.S, E.F, L.S, L.F times on the diagram. Also highlight the critical path. Ensure: 1. Your assumptions are clearly stated 2. Your activity relationships are clear, rational and follow engineering logic 3. You sketch out a clear (and legible) network diagram (suggest using a pencil/eraser) 4. Follow the AON/CPM process 5. Interpret your results in plain language 6. There are no right and wrong answers (provided you follow steps above) 3. (12 Marks) Draw up a table indicating the total float of each of the activities. (5 Marks) 4. Complete a table showing the lag times on each link between the activities. (10 Marks)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 21P
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The following fourteen (14) activities make up a small construction project. The table
shows the duration of each activity and its relationship with succeeding and
preceding activities.
ACTIVITY DURATION
RELATIONSHIPS
Activity B starts one day after start of Activity A
Activity C starts after Activity A is completed
Activity D starts at the same time as Activity A
(DAYS)
A
Commences project
B
5
C
5
D
6
E
6
F
7
G
10
H
7
Start of F to start of H. Lead time = 6 days
Finish of E to finish of F. Lead time = 5 days
4
Start of F to start of I. Lead time = 4 days
Activity I cannot start until Activity G is completed
8
M
2
N
1.
2.
There is a lead time of 4 days from the finish of Activity B and
the finish of Activity E (F.T.F LT=4)
There is a lead time of 4 days from start of Activity C and start
of Activity F (STS LT = 4)
Start of C to start of G. A lead time of 4 days (STS LT 4)
Activity J follows the completion of Activity I, Activity H and
Activity D
Activity K follows the completion of Activity G. Also there is a
lead time of 2 days from the finish of I to the finish of K
(F.T.FLT=2)
Start of Activity I to start of Activity L. There is a lead time of 2
days
Activity L follows the completion of Activity G
Start of Activity K to start of Activity M. Lead time 2 days.
Start of Activity L to start of Activity M. Lead time 2 days
Activity N cannot start until both Activities J and M are
completed
Draw the precedence diagram showing the relationships of the activities.
(8 Marks)
Complete the backward and forward passes on the network and indicate the
E.S, E.F, L.S, L.F times on the diagram. Also highlight the critical path.
Ensure:
1. Your assumptions are clearly stated
2.
Your activity relationships are clear,
rational and follow engineering logic
3. You sketch out a clear (and legible)
network diagram (suggest using a
pencil/eraser)
4. Follow the AON/CPM process
5.
Interpret your results in plain language
6.
There are no right and wrong answers
(provided you follow steps above)
3.
(12 Marks)
Draw up a table indicating the total float of each of the activities. (5 Marks)
4.
Complete a table showing the lag times on each link between the activities.
(10 Marks)
Transcribed Image Text:The following fourteen (14) activities make up a small construction project. The table shows the duration of each activity and its relationship with succeeding and preceding activities. ACTIVITY DURATION RELATIONSHIPS Activity B starts one day after start of Activity A Activity C starts after Activity A is completed Activity D starts at the same time as Activity A (DAYS) A Commences project B 5 C 5 D 6 E 6 F 7 G 10 H 7 Start of F to start of H. Lead time = 6 days Finish of E to finish of F. Lead time = 5 days 4 Start of F to start of I. Lead time = 4 days Activity I cannot start until Activity G is completed 8 M 2 N 1. 2. There is a lead time of 4 days from the finish of Activity B and the finish of Activity E (F.T.F LT=4) There is a lead time of 4 days from start of Activity C and start of Activity F (STS LT = 4) Start of C to start of G. A lead time of 4 days (STS LT 4) Activity J follows the completion of Activity I, Activity H and Activity D Activity K follows the completion of Activity G. Also there is a lead time of 2 days from the finish of I to the finish of K (F.T.FLT=2) Start of Activity I to start of Activity L. There is a lead time of 2 days Activity L follows the completion of Activity G Start of Activity K to start of Activity M. Lead time 2 days. Start of Activity L to start of Activity M. Lead time 2 days Activity N cannot start until both Activities J and M are completed Draw the precedence diagram showing the relationships of the activities. (8 Marks) Complete the backward and forward passes on the network and indicate the E.S, E.F, L.S, L.F times on the diagram. Also highlight the critical path. Ensure: 1. Your assumptions are clearly stated 2. Your activity relationships are clear, rational and follow engineering logic 3. You sketch out a clear (and legible) network diagram (suggest using a pencil/eraser) 4. Follow the AON/CPM process 5. Interpret your results in plain language 6. There are no right and wrong answers (provided you follow steps above) 3. (12 Marks) Draw up a table indicating the total float of each of the activities. (5 Marks) 4. Complete a table showing the lag times on each link between the activities. (10 Marks)
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