Question: Consider the following information about a small project: Task Duration (days) Immediate Predecessors Shortest Time Possible Acceleration Cost per day A 2 None 1 $70

Consider the following information about a small project:

Task

Duration (days)

Immediate Predecessors

Shortest Time Possible

Acceleration Cost per day

A

2

None

1

$70

B

4

A

2

$40

C

8

A

4

$10

D

6

A

5

$20

E

7

B

5

$30

F

4

D

3

$60

G

5

C,E,F

4

$60

(a) Draw the network diagram.

(b) In above network diagram, identify the critical path by forward and backward paths. What is the duration of the project? For the tasks that are not on the critical path, what are their slacks?

(c) Find the cost-effective way to reduce the completion time by 3 days.

Step 1: Accelerate task(s) _____ by _____ day(s)

Step 2: Accelerate task(s) _____ by _____ day(s)

Step 3: Accelerate task(s) _____ by _____ day(s)

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