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Question

1.   For each of the following draw:

·        The AoN Network.

·        Perform a

Forward Pass to determine ES and EF for each activity

·        Perform a Backward Pass to determine LS and LF for each activity

·        Indicate the Critical Path

·        Determine the total and free float (slack)

Draw a Gantt Chart   

 

(a)

 

Activity Activitu Predecessor Time

A - 4

B A 8

C B 10

D C 5

E B 2

F EH 5

G A 6

H G 5

J DF 1

 

 

 

(b)

Activity Acti Predecessor Time

A - 10

B AE 9

C BN 15

D C 7

E - 5

F AE 6

G KF 7

H G 12

J - 12

K EJ 4

L KF 11

M L 8

N EJ 7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2.        

The project costs are shown in the table below along with the activities and their predecessors    

(a)  Draw the network diagram

(b)  Under normal conditions what is the earliest the project can be completed? What is the direct cost? What is the Critical Path?

(c)   What is the cost of the project if it completed 1 day earlier and 2 days earlier?

(d)  What is the earliest the project can be completed?

If the indirect costs are €20,000 per day, for what duration are the total project costs (direct + indirect) lowest?

Activity Acvt Predecessor Normal Time Normal Cost Crash time Crash Cost

A - 6 10 2 38

B - 4 12 4 12

C - 4 18 2 36

D A 6 20 2 40

E BD 3 30 2 33

F C 10 10 6 50

G FE 6 20 2 100

 

 

 

 

 

3.

 

(a)  Draw the AoN network diagram

(b)  What is the Critical Path?

(c)   What are the floats within activity?

(d)  What is the Probability of completing in 15 days?

What is the effect if CD slips to 6 days; to 7 days; to 8 days

 

Activity Optimistic Most Likely Pessimistic

AB 3 6 9

AC 1 4 9

CB 0 3 6

CD 3 3 3

CE 2 2 8

BD 1 4 6

BE 2 5 8

DF 4 4 10

DE 1 1 4

EF 1 4 7

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