# What is the projected project duration? 24 DAYS

Question
PMAN635
Quantitative Methods in Project Management
Session 9 – IA-9 PMAN635 Session 9 IA-9
Name:
Problem 1: Given the information provided below (predecessors, normal time, normal cost,
crash time (the minimum duration) and crash cost (the cost if crashed to the minimum duration)
for an nine-activity (a to i) project) answer the questions (a) through (e) using this template.
Activity Predecessor Normal
Time a
b
c
d
e
f
g
h
i a
b
c, f
c
b
d, e
f
g, h 4
4
7
2
3
8
5
6
3 Normal
Cost
\$
\$
\$
\$
\$
\$
\$
\$
\$ 50
40
70
20
30
80
50
60
50 Crash
Time
2
2
4
1
2
5
3
2
3 Crash Cost
\$
\$
\$
\$
\$
\$
\$
\$
\$ 150
200
160
50
100
290
100
180
0 (a). Create the network diagram in the application of your choice and then insert a screen shot of
the diagram here. The diagram can be created easily in MS Word using the Insert Shapes
function. Alternatively, you may attach your diagram as a separate file using Excel, Powerpoint
or as a pdf file.
Identify the critical path of the network, the time, and cost of the normal level of activity for the
project: The critical path (or paths) is: __ABCDGI__ABFDGI__ABCEGI ______________ The project duration: __26_DAYS________ The project cost is: _____\$450________ PMAN635
Quantitative Methods in Project Management
Session 9 – IA-9
(b).Calculate the crash cost-per-day (all activities may be partially crashed). Enter your response
to question 1(b) in the table provided below Activity
a
b
c
d
e
f
g
h
i Normal
Time
4
4
7
2
3
8
5
6
3 Normal
Cost
50
40
70
20
30
80
50
60
50 Crash Time Crash Cost 2
2
4
1
2
5
3
2
3 150
200
160
50
100
290
100
180
50 Crash Cost/Day1
(150 -50)/(4-2) = \$50
(200 – 40)/(4-2) = \$80
(160-70)/(7-4) = \$30
(50-20)/(2-1) = \$30
(100-30)/(3-2) = \$70
(290-80)/(8-5) = \$70
(100-50)/(5-3) = \$25
(180-60)/(6-2) = \$30
(50-50)/(3-3) = \$ 0 (c). Find the optimal way to crash the project by one day. What is the projected project cost? 450 + 25 = \$475
What is the projected project duration? 25 DAYS
What is the critical path (or paths)? ABCDGI_ABFDGI_ABCEGI_ABFHI
What task or tasks were crashed? For getting to 25 Days we had to crash G by 1Day. Explain the results of your calculations.
(d). Find the optimal way to crash the project by two days. What is the projected project cost? = 450 + 50 = \$500
What is the projected project duration? 24 DAYS
What is the critical path (or paths)? ABFHI
What task or tasks were crashed? For getting to 24 Days we crashed G by 2Days. Explain the results of your calculations. 1 Assume that each task’s crash costs are linear, ie that each day a task is crashed has an equal cost. PMAN635
Quantitative Methods in Project Management
Session 9 – IA-9
(e). Calculate the shortest completion time for the project. What is the projected project cost? 160+210+120+100+450= \$1040
What is the projected project duration? 14 DAYS
What is the critical path (or paths)? ABFHI 