It is known the store modernization project will take some time given the store
ID: 412359 • Letter: I
Question
It is known the store modernization project will take some time given the store will remain open during the project and operate as normal. Knowing that, you have been provided a proposal that includes a list of activities that must be completed. The following relevant information about the project activities has been provided and is shown below:
Time (Weeks) Cost ($1000s)
Activity
Description
Immediate Predecessor
Normal
Crash
Normal
Crash
A
Demolition
-----
10
8
$30
$70
B
Design
A
8
6
120
150
C
Build
B
10
7
100
160
D
Paint
A
7
6
40
50
E
Flooring / Lighting
D
10
8
50
75
F
Reveal
C, E
3
3
60
------
You are to develop a project network with an activity schedule to determine the critical activities and the expected completion time.
Later, you learn the company wants to complete the project in six months or 26 weeks. You need to determine what crashing decisions you would recommend to meet the desired completion time at least possible cost.
Activity
Description
Immediate Predecessor
Normal
Crash
Normal
Crash
A
Demolition
-----
10
8
$30
$70
B
Design
A
8
6
120
150
C
Build
B
10
7
100
160
D
Paint
A
7
6
40
50
E
Flooring / Lighting
D
10
8
50
75
F
Reveal
C, E
3
3
60
------
Explanation / Answer
The Precedence diagram as follows :
A
B
D
C
E
F
The possible parallel paths and their normal durations as follows :
A-B-C-F = 10 + 8 + 10 + 3 = 31 weeks
A-D-E- F = 10 + 7 + 10 + 3 = 30 weeks
Since , A-B-C-F has the longest duration, it forms the critical path, Duration of critical path is same as duration of the project. Therefore , normal duration of the project is 31 weeks
To make the project complete in 26 weeks ,
To crash A-B-C-F by 5 weeks :
To crash activity A-D-E-F by 4 weeks :
Crash activity A by 2 weeks + Crash activity E by 2 weeks ( Note : D can be crashed by only 1 day and thus cannot form any combination which crashes the project by 4 days. Duration of activity F cannot be reduced and hence not considered )
RECOMMENDATION TO COMPLETE THE PROJECT WITHIN 26 WEEKS :
Crash activity A by 2 weeks
Crash activity C by 3 weeks
Crash activity E by 2 weeks
A
B
D
C
E
F
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