Question: Question 3 (25 marks) The table below indicates the precedence requirements, activity times, and normal and crash costs for a construction project. Activity Precedes Normal

Question 3 (25 marks) The table below indicates the precedence requirements, activity times, and normal and crash costs for a construction project.

Activity

Precedes

Normal Time (weeks)

Normal Cost

Crashing Cost ($ per week)

Can crash activities 1 or 2 weeks;

First Week

Second Week

A

B, C

5

$7,000

$1200

$1200

B

D

4

5000

1000

1000

C

E, F

3

4000

1000

-

D

G, H

6

10,000

1100

-

E

H

4

9000

500

500

F

H

5

7000

750

750

G

I

4

9,000

1200

1200

H

I, J

5

8,000

1200

1200

I

End

5

10,000

1500

1500

J

End

6

6,000

1200

-

  1. Which activities have slack, and how much? What paths have slack and how much? (5 marks)
  2. Determine the minimum-cost crashing schedule that will reduce the total length of the project by five weeks; which activities should you shorten (crash) and by how much. What is the critical path after crashing and how much slack does each path have now. (7 marks)

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