The Department of Transportation has found that a proposed highway project is no
ID: 339714 • 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
---
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
Note: For each week you are to include only the cost of shortening the activities in that particular week.
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
So, currently, the length of the project is 31 weeks
1st-week crash (activity 11-13) cost = $4
2nd-week crash (activities 11-13 and 12-13) cost = $8+$7 = $15
3rd-week crash (activities 11-13 and 1-4) cost = $10+$10 = $20
4th-week crash (activities 2-5, 3-8, and 12-13) cost = $6+$5+$11 = $22
Path Duration 1-2-5-7-11-13 31 1-3-8-11-13 30 1-3-9-12-13 28 1-4-6-10-12-13 30Related Questions
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