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The Project Completion Essay Discussion Paper




 Draw a network diagram for the project. b. What is the project completion date? In other words, how many days would it take to complete this project on normal time? c. What is the total cost required to complete this project on normal time? d. If the project had to be completed 2 days earlier, would it help to reduce Activity 5 by two days? e. If Activity 4 is delay by one day, would it delay the project completion date? f. If Activity 2 is delay by five days, would it delay the project completion date?







Expert Answer


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This solution was written by a subject matter expert. It's designed to help students like you learn core concepts.





Step-by-step


1st step
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Step 1/3








Ans a) Network Diagram for the project: The Project Completion Essay Discussion Paper







12354StartEnd












EXPLANATION



Added start node and end node for clarity. Activity 1, 2 and 3 have no predecessors. Activity 4 and 5 have predecessors.


















Step 2/3








Ans b) Project Completion days on normal time.

Project completion time = 12 days








EXPLANATION



Activity is ending on 12th day. The activities with zero slack form the critical path.
S-3-5-E is the critical path.

ES = Earliest Start
EF = Earlier Finish = ES + Duration
LS = Latest Start = LF - Duration
LF = Latest Finish















EF for activity 4 = ES for activity 4 and duration of activity 4=6+5=11


















Activity





Normal duration





ES





EF





LS





LF





Slack







S





0





0





0





0





0





0







1





6





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6





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7





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8





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12





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Ans c) Total cost required to complete the project on normal time:

Cost given is per day cost.







Total cost for nomal time=900×6+300×8+500×4+900×5+1,000×8=22,300





Total cost = $ 22300
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Step 3/3







Ans d) To reduce the project cost, we should first reduce activity duration from critical path.







EXPLANATION



Critical path is S-3-5-E

In this path, we should reduce the activity time for the one with lowest crash cost. So we should reduce 2 days from activity 3 as it has lower cost (600$ per day) compared to (1600$ per day) for activity 5.















Crash cost for activity 3=2×600=1,200











Crash cost for activity 5=2×1,600=3,200






The project can be completed by reducing activity 5 by 2 days but it will cost higher.

-------------------------------------------------------------------------------------------

Ans e)

From the table in step 1, we see activity 4 has slack of 1 day. So if activity 4 is delayed by 1 day, there will be no delay in project completion date.


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Ans f)

From the table in step 1, we see activity 2 has slack of 4 days. If activity 2 is delayed by 5 days, the project will delay by 1 day.

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Final answer








a) Project network drawn.
b) project completion date = 12 days
c) total cost = $22,300
d) Better to reduce activity 3 by 2 days
e) No delay
f) delay by 1 day The Project Completion Essay Discussion Paper

Expert Answer

The Project Completion Essay Discussion Paper
 Draw a network diagram for the project. b. What is the project completion date? In other words, how many days would it take to complete this project on normal time? c. What is the total cost required to complete this project on normal time? d. If the project had to be completed 2 days earlier, would it help to reduce Activity 5 by two days? e. If Activity 4 is delay by one day, would it delay the project completion date? f. If Activity 2 is delay by five days, would it delay the project completion date?

Expert Answer

This solution was written by a subject matter expert. It's designed to help students like you learn core concepts.

Step-by-step

Step 1/3
Ans a) Network Diagram for the project: The Project Completion Essay Discussion Paper
12354StartEnd
EXPLANATION
Added start node and end node for clarity. Activity 1, 2 and 3 have no predecessors. Activity 4 and 5 have predecessors.
Step 2/3
Ans b) Project Completion days on normal time.
Project completion time = 12 days
EXPLANATION
Activity is ending on 12th day. The activities with zero slack form the critical path.
S-3-5-E is the critical path.
ES = Earliest Start
EF = Earlier Finish = ES + Duration
LS = Latest Start = LF - Duration
LF = Latest Finish
EF for activity 4 = ES for activity 4 and duration of activity 4=6+5=11
Activity
Normal duration
ES
EF
LS
LF
Slack
S
0
0
0
0
0
0
1
6
0
6
1
7
1
2
8
0
8
4
12
4
3
4
0
4
0
4
0
4
5
6
11
7
12
1
5
8
4
12
4
12
0
E
0
12
12
12
12
0
------------------------------------------------------------------------------------------
Ans c) Total cost required to complete the project on normal time:
Cost given is per day cost.
Total cost for nomal time=900×6+300×8+500×4+900×5+1,000×8=22,300
Total cost = $ 22300
----------------------------------------------------------------------------------------------
Step 3/3
Ans d) To reduce the project cost, we should first reduce activity duration from critical path.
EXPLANATION
Critical path is S-3-5-E
In this path, we should reduce the activity time for the one with lowest crash cost. So we should reduce 2 days from activity 3 as it has lower cost (600$ per day) compared to (1600$ per day) for activity 5.
Crash cost for activity 3=2×600=1,200
Crash cost for activity 5=2×1,600=3,200
The project can be completed by reducing activity 5 by 2 days but it will cost higher.
-------------------------------------------------------------------------------------------
Ans e)
From the table in step 1, we see activity 4 has slack of 1 day. So if activity 4 is delayed by 1 day, there will be no delay in project completion date.
Ans f)
From the table in step 1, we see activity 2 has slack of 4 days. If activity 2 is delayed by 5 days, the project will delay by 1 day.
-------------------------------------------------------------------------------------------------
Final answer
a) Project network drawn.
b) project completion date = 12 days
c) total cost = $22,300
d) Better to reduce activity 3 by 2 days
e) No delay
f) delay by 1 day The Project Completion Essay Discussion Paper

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