a) Determine the critical path. b) How many weeks will the project take to complete? c) Suppose F could be shortened by two weeks and B by one week. How would this affect the completing date?

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PROJECT MANAGEMENT chapter 3 91


C. If activities I and 10 cannot be shortened, but activities 2 through 9 can be shortened to a min-
imum of one week each at a cost of $10,000 per week, which activities would you shorten to
cut the project by four weeks?
5 The following represents a project that should be scheduled using CPM:

TIMES(DAYS)

ACTIVITY IMMEDIATE PREDECESSORS a m b

A 1 3 5
B 1 2 3
C A 1 2 3
D A 2 3 4
E B 3 4 11
F C,D 3 4 5
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G D, E 1 4 6
H F,G 2 4 5


a. Draw the network.
b. What is the critical path?
c. What is the expected project completion time?
d. What is the probability of completing this project within 16 days?
6 Here is a CPM network with activity times in weeks:




a. Determinethe critical path.
b. How many weeks will the project take to complete?
c. SupposeF could be shortened by two weeks and B by one week. How would this affect the
completion date?
7 The following table represents a plan for a project:

JOB No. PREDECESSORJOB(S) a m b

2 3 4

2 1 1 2 3

3 1 4 5 12

4 1 3 4 11 IIII

5 2 1 3 5
6 3 1 2 3
7 4 1 8 9
8 5,6 2 4 6

9 8 2 4 12
10 7 3 4 5
11 9,10 5 7 8


a. Construct the appropriate network diagram.
b. Indicate the critical path.
c. What is the expected completion time for the project?
d. You can accomplish anyone of the following at an additional cost of $1,500:
(1) Reduce job 5 by two days.
(2) Reduce job 3 by two days.
(3) Reduce job 7 by two days.



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