Question: Consider the following project. Activity Immediate Predecessors Normal Duration (months) Normal cost ($) A - 3 700 B - 4 900 C A 2 1,100

Consider the following project.

Activity

Immediate

Predecessors

Normal Duration

(months)

Normal cost

($)

A - 3 700
B - 4 900
C A 2 1,100
D B 6 600
E C, D 8 800
F D 7 1,300
G E 4 500
H E, F 9 800

b) For each activity compute ES, EF, LS, LF, and slack. Then, say which activities are critical.

ANSWER to b)

For each activity, compute ES, EF, LS, LF, slack, and critical non-critical activities are as follows:

Activity Early Start (ES) Early Finish (EF) Late Start (LS) Late Finish (LF) Slack Critical
A 0 3 5 8 5 No
B 0 4 0 4 0 Yes
C 3 5 8 10 5 No
D 4 10 4 10 0 Yes
E 10 18 10 18 0 Yes
F 10 17 11 18 1 No
G 18 22 18 22 0 Yes
H 18 27 18 27 0 Yes

Activities B, D, E, G, and H are critical activities.

c) What is the cost of completing the project if its duration is what you obtained in (b)?

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