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The Department of Transportation has found that a proposed highway project is no

ID: 452713 • 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

---



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

Partial Answer

There are four paths in this project

1-2-5-7-11-13 = 34 weeks

1-3-8-11-13 = 32 weeks

1-3-9-12-13 = 35 weeks

1-4-6-10-12-13 = 35 weeks

So critical path having length of 35 weeks

Hence currently length of project is 35 Weeks

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