use the following information for problems 31 to34. Information about activities
ID: 2950828 • Letter: U
Question
use the following information for problems 31 to34.
Information about activities in a project is given below. Times arein weeks.
Activity
Time
Predecessor
A
5
None
B
8
None
C
7
A
D
7
A, B
E
9
B
F
6
C, D,E
G
6
E
31) How soon can this project be completed?
a. 18 weeks
b. 20 weeks
c. 23 weeks
d. 26 weeks
32) What is the earliest finish time for activityD?
a. 12
b. 15
c. 8
d. 7
33) How many critical paths are in this project?
a. 0
b. 1
c. 2
d. 3
34) What are the critical activities in thisproject?
a. A, D, F, G
b. A, D, F
c. B, E, F
d. B, E, F, G
Activity
Time
Predecessor
A
5
None
B
8
None
C
7
A
D
7
A, B
E
9
B
F
6
C, D,E
G
6
E
Explanation / Answer
31) Below is a table of the minimum amount of time that each activitycan be completed in... A: 5 B: 8 C: A+7=12 D: max(A, B) + 7 = 15 E: B + 9 = 17 F: max(C, D, E) + 6 = 23 G: E + 6 = 23 Max of the table is your answer: 23 weeks. 32) From the table, we see the earliest D can be finished in is 15weeks. 33) 2. They are BEF and BEG. They are critical becausethe sum of completion times is 23 weeks, the completion time. An infinitesimal delay anywhere along these paths would result inthe same delay in project completion. 34) D. BEFG are critical because an infinitesimal delay inthese events will result in the same delay in the entireproject. On the other hand, if there is an infinitesimaldelay in these other activities, there will be no delay in theentire project.
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