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Dave Fletcher was able to determine the activity times for constructing his lase

ID: 3142420 • Letter: D

Question

Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times:

Dave's earliest start (ES) and earliest finish (EF) are:

Activity

ES

EF

A

____

5

B

0

_____

C

_____

7

D

5

_____

E

_____

11

F

8

_____

G

_____

20

H

_____

22

Dave's latest start (LS) and latest finish (LF) are:

Activity

LS

LF

H

14

_____

G

13

_____

F

8

_____

E

10

_____

D

13

_____

C

11

_____

B

0

_____

A

6

_____

The slack times are:

Activity

Slack

A

_____

B

_____

C

_____

D

_____

E

_____

F

_____

G

_____

H

_____

The activities on the critical path are _____ - _____ - _____ - _____

The total project completion time for Dave =_____ weeks.

Activity

ES

EF

A

____

5

B

0

_____

C

_____

7

D

5

_____

E

_____

11

F

8

_____

G

_____

20

H

_____

22

Explanation / Answer

Activity times are not given in the problem.

So let us assume the activity times as follows

A: tA

B: tB

C:tC

D:tD

E: tE

F: tF

G:tG

H:tH

The formulae for the ES & EF calculation is given below

ES of an activity = EF of that activity - time duration of that activity

EF of an activity = ES of that activity + time duration of that activity

Henc, for the given problem, it is as follows

(Use actual values of the activity times tA,tB , ......for calculation)

Computation of Latest Start(LS) and latest finish(LF) of activities

LF of an activity = LS of that + time duration of that activity.

SLACK of an activity = LS of the activity - ES of the activity

Activities with 0 slack values are considered as critical activities.

Total project completion time is obtained by summing up the activity times of critical activities.

Activity ES EF A 5- tA 5 B 0 0+tB C 7-tC 7 D 5 5+tD E 11-tE 11 F 8 8+tF G 20-tG 20 H 22-tH 22
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