What is the minimum cost crashing plan to minimize the penalty? Please list in order all the activities that will be selected in this plan.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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What is the minimum cost crashing plan to minimize the penalty? Please list in order all the activities that will be selected in this plan. 

2
Hint: There are FOUR paths in this network (I am giving this information so that you minimize your
errors).
Problem Network (the Crashing based problem)
8(8)
c(7)
D(4)
A(5)
F(4)
H(5)
E(1)
G(12)
END
L(3)
I(6)
K(1)
T(9)
0(8)
M(12)
N(9)
Transcribed Image Text:2 Hint: There are FOUR paths in this network (I am giving this information so that you minimize your errors). Problem Network (the Crashing based problem) 8(8) c(7) D(4) A(5) F(4) H(5) E(1) G(12) END L(3) I(6) K(1) T(9) 0(8) M(12) N(9)
A construction project has a deadline of 25 weeks. And there is a
penalty of $45,000 for every week the project is delayed after
the 25 weeks. The activities in the project, their sequence
relationships, and their expected normal times are shown in the
network. The activities, their expected normal times, and their
crash costs are shown in the table below:
Note: There are 4 paths in this network (posted on Canvas as a
separate file)
Crash Costs ($000)
Activity Normal
Time
1st
2nd week
week
A
5
$14
$22
В
8
24
25
C
7
30
30
D
4
11
18
E
11
30
31
F
4
11
24
12
H
5
40
40
I
3
10
J
9
2
7
K
1
26
3
11
15
M
12
13
N
9
6.
11
8
14
15
(a) Determine the minimum cost crashing plan to minimize
the penalty. List (in the correct order0 all the activities that
will be selected in this plan. Obviously, you will continue
to crash as long as the weekly crash costs are less than the
weekly penalty.
(b) Determine the total savings for the above case,
Hint for (b): For example, if you are spending $10,000 to crash
a project by one week, and if your penalty is $45,000 for one
week, then your savings are $35,000 for that week.
Transcribed Image Text:A construction project has a deadline of 25 weeks. And there is a penalty of $45,000 for every week the project is delayed after the 25 weeks. The activities in the project, their sequence relationships, and their expected normal times are shown in the network. The activities, their expected normal times, and their crash costs are shown in the table below: Note: There are 4 paths in this network (posted on Canvas as a separate file) Crash Costs ($000) Activity Normal Time 1st 2nd week week A 5 $14 $22 В 8 24 25 C 7 30 30 D 4 11 18 E 11 30 31 F 4 11 24 12 H 5 40 40 I 3 10 J 9 2 7 K 1 26 3 11 15 M 12 13 N 9 6. 11 8 14 15 (a) Determine the minimum cost crashing plan to minimize the penalty. List (in the correct order0 all the activities that will be selected in this plan. Obviously, you will continue to crash as long as the weekly crash costs are less than the weekly penalty. (b) Determine the total savings for the above case, Hint for (b): For example, if you are spending $10,000 to crash a project by one week, and if your penalty is $45,000 for one week, then your savings are $35,000 for that week.
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