The Department of Transportation has found that a proposed highway project is no
ID: 431892 • Letter: T
Question
The Department of Transportation has found that a proposed highway project is not going to be completed before the end of the summer. They have asked the contractor to prepare cost figures to shorten the project by up to 6 weeks.
The following table shows the Crashing Costs for each activity. For example, if you needed to shorten Activity 1-2 by 1 week this would cost $12. If you needed to shorten the same activity by 2 weeks it would cost $16. Note: If an activity lists a cost of $---, then this activity cannot be any shorter.
Activity
-First Week
-Second Week-
Third Week
1-2
$12
$16
$ ---
2-5
6
8
10
5-7
7
8
11
7-11
7
11
---
11-13
4
8
10
1-3
12
14
19
3-8
5
---
---
8-11
12
13
14
3-9
14
16
16
9-12
8
8
10
12-13
7
11
---
1-4
10
14
18
4-6
12
14
18
6-10
11
12
---
10-12
14
15
---
Currently the Length of the Project is
weeks.
Determine the costs to shorten the project.
1st Week Cost =
Hint: Between 2 and 6
2nd Week Cost =
3rd Week Cost =
4th Week Cost =
Hint: Between 18 and 23
5th Week Cost =
6th Week Cost =
Hint: Between 28 and 34
Note: For each week you are to include only the cost of shortening the activities in that particular week.
Save
Activity
-First Week
-Second Week-
Third Week
1-2
$12
$16
$ ---
2-5
6
8
10
5-7
7
8
11
7-11
7
11
---
11-13
4
8
10
1-3
12
14
19
3-8
5
---
---
8-11
12
13
14
3-9
14
16
16
9-12
8
8
10
12-13
7
11
---
1-4
10
14
18
4-6
12
14
18
6-10
11
12
---
10-12
14
15
---
Explanation / Answer
As per critical path:
Week 1:
So week by 1 :
4
For 2nd week: there are 2 critical, so both have to be reduced.
For 3 weeks:
Similarly:
Activity Duration Pre ES EF Critical Slack -First Week -Second Week- Third Week 1 to 2 3 Nil 0 3 Yes 12 16 --- 2 to 5 5 1 to 2 3 8 Yes 6 8 10 5 to 7 12 2 to 5 8 20 Yes 7 8 11 7 to 11 8 5 to 7 20 28 Yes 7 11 --- 11 to 13 3 7 to 11,8 to 11 28 31 Yes 4 8 10 1 to 3 12 Nil 0 12 12 14 19 3 to 8 8 1 to 3 12 20 5 --- --- 8 to 11 8 3 to 8 20 28 12 13 14 3 to 9 5 1 to 3 12 17 14 16 16 9 to 12 5 3 to 9 17 22 8 8 10 12 to 13 6 9 to 12, 10 to 12 24 30 1 7 11 --- 1 to 4 3 Nil 0 3 10 14 18 4 to 6 7 1 to 4 3 10 12 14 18 6 to 10 5 4 to 6 10 15 11 12 --- 10 to 12 9 6 to 10 15 24 14 15 --- Finish 31 Currently the Length of the Project is 31 weeks. Critical 1-2-5-7-11-13Related Questions
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