1
Managerial Economics (ARE) 155
University of California, Davis
Fall Quarter, 2011
Instructor: John H. Constantine
Homework 7: Due Friday
DECEMBER 2
, 2011
PROBLEMS 1 – 4 ARE MIDTERM 2TYPE QUESTIONS.
PROBLEMS 5 – 8 ARE NOT MIDTERM 2 MATERIAL, BUT THEY
ARE FINAL EXAM MATERIAL
Problem 1
:
You are given the following project schedule.
The table includes all activities required to complete the
project, each activity’s immediate predecessor and each activity’s time of completion (in days.)
(a)
Develop a project network for this problem.
(b)
Find the critical path and calculate the total
project completion time.
(You must find EST, EFT, LST,
and LFT to answer this problem.
ACTIVITY
IMMEDIATE PREDECESSOR
TIME (DAYS)
A

5
B
A
6
C
A
2
D
A
9
E
B
9
F
C, D
3
G
D
7
H
D
4
I
E,F,G
6
J
H
5
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Problem 2
:
You are given the following project network.
In each hexagon, the top number is activity number and the
bottom number is the activity time, in weeks.
Determine (i) the critical path and (ii) the number of weeks the
project is expected to take.
Start
Finish
1
8
2
12
3
3
4
9
5
3
6
2
7
12
8
7
9
30
10
21
11
20
12
5
13
16
14
17
15
5
16
6
17
3
Problem 3
:
Building a backyard playground for an elementary school consists of nine major activities.
The activities and
their immediate predecessors are shown here:
Activity
A
B
C
D
E
F
G
H
I
Immediate
Predecessor
─
─
A, B
A, B
B
C
D
D, F
E, G, H
The activity time (in days) for constructing the playground project are given in the table:
Activity
Optimistic
Most
Probable
Pessimistic
A
3
5
6
B
2
4
6
C
5
6
7
D
7
9
10
E
2
4
6
F
1
2
3
G
5
8
10
H
6
8
10
I
3
4
5
(a)
Construct the project network.
(b)
What are the critical activities?
(c)
What is the expected time to complete the project?
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 Fall '08
 Staff
 Game Theory, Project Completion Time, immediate predecessor, Minimum EOL, equally likely criterion

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