A Company wants to execute a project within 95 weeks. This project includes 10 activities (labeled A, B, .. J), where their precedence relationships are shown in the following table: Predecessor Activity Normal Time(weeks) Time(weeks) (in million S) (in million S) Crash Normal Cost Crash Cost Activity 32 28 160 180 В 28 25 125 146 A 36 31 170 210 D. 16 13 60 72 B. 32 27 135 160 F 54 47 215 257 D 17 15 90 96 H. E,G 20 17 120 132 E,G F.C 34 30 190 226 18 16 80 84 a) Draw the project network according to the previous table. (b)Find all possible paths and the corresponding lengths to finish the project. (c) Which is the critical path and what is its length? (d) Determine the least expensive way to crash activities to reduce overall duration to 95 weeks using Marginal cost analysis.

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Author:WINSTON, Wayne L.
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A Company wants to execute a project within 95 weeks. This project includes 10 activities
(labeled A, B, ..., J), where their precedence relationships are shown in the following table:
Predecessor
Normal
Crash
Normal Cost
Crash Cost
Activity
Activity
Time(weeks) Time(weeks) (in million S) (in million S)
A
32
28
160
180
В
28
25
125
146
C
A
36
31
170
210
D
B
16
13
60
72
E
32
27
135
160
B
54
47
215
257
D
17
15
90
96
H
E,G
20
17
120
132
E,G
34
30
190
226
F.C
18
16
80
84
a) Draw the project network according to the previous table.
(b)Find all possible paths and the corresponding lengths to finish the project.
(c) Which is the critical path and what is its length?
(d) Determine the least expensive way to crash activities to reduce overall duration to 95
weeks using Marginal cost analysis.
Transcribed Image Text:A Company wants to execute a project within 95 weeks. This project includes 10 activities (labeled A, B, ..., J), where their precedence relationships are shown in the following table: Predecessor Normal Crash Normal Cost Crash Cost Activity Activity Time(weeks) Time(weeks) (in million S) (in million S) A 32 28 160 180 В 28 25 125 146 C A 36 31 170 210 D B 16 13 60 72 E 32 27 135 160 B 54 47 215 257 D 17 15 90 96 H E,G 20 17 120 132 E,G 34 30 190 226 F.C 18 16 80 84 a) Draw the project network according to the previous table. (b)Find all possible paths and the corresponding lengths to finish the project. (c) Which is the critical path and what is its length? (d) Determine the least expensive way to crash activities to reduce overall duration to 95 weeks using Marginal cost analysis.
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