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Which of the following activity is non-critical in the project given in the table below? Activity Predecessor Duration Cost slope Workers/day P -- 3 20 5 Q -- 4 30 4 R P 4 25 4 S P, Q 3 25 5 T R 3 15 5 U R, S 4 55 4

Which of the following activity is non-critical in the project given in the table below? Activity Predecessor Duration Cost slope Workers/day P -- 3 20 5 Q -- 4 30 4 R P 4 25 4 S P, Q 3 25 5 T R 3 15 5 U R, S 4 55 4 Correct Answer T

Concepts:

 The total float of any activity is given as:

Ft = TLj – TEi - tij

Where

TLj = latest allowable time of event j

TEi = earliest expected time of event i

tij = duration of an activity

If Ft = 0 then that activity will be critical, otherwise it will be non – Critical.

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The total float calculation for each activity is shown below in the tabulated form:

Activity

TLj 

   TEi

Duration (tij)

Total Float (FT)

Remarks

P

3

0

3

Ft = 3 - 0 - 3 = 0

Critical

Q

4

0

4

Ft = 4 – 0 - 4 = 0

Critical

R

7

3

4

Ft = 7 – 3 - 4 = 0

Critical

S

7

4

3

Ft = 7 – 4 - 3 = 0

Critical

T

11

7

3

Ft = 11 - 7 - 3 = 1

Non- Critical

U

11

7

4

Ft = 11 - 7 - 4 = 0

Critical

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