The Department of Transportation has found that a proposed highway project is no
ID: 434327 • 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 4 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
---
The Current Length of the Project is
weeks.
Determine the costs to shorten the project.
1st Week Cost =
Hint: Between 2 and 7
2nd Week Cost =
3rd Week Cost =
4th Week Cost =
Hint: Between
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
---
5 10 13 10 12Explanation / Answer
The current length of the project is 41 weeks.
1st-week crash
Crash activity 11-13 with a crash cost of $4.
2nd-week crash
Note that two critical paths (1-3-8-11-13 and 1-3-9-12-13) have emerged. Crash activity 11-13 by one week with a crash cost of $12.
3rd-week crash
Note that three critical paths have emerged. Crash activities 2-5, 3-8, and 12-13 with a total cost of crashing equal to 6+5+7 = $18.
4th-week crash
Still, there are three critical paths. Crash activity 11-13 and 9-12 for a crashing cost of 8+8 = $16.
Project path Duration 1-2-5-7-11-13 40 1-3-8-11-13 41 1-3-9-12-13 40 1-4-6-10-12-13 38Related Questions
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