In: Operations Management
Below is a list of jobs that must be accomplished to complete the new project. Assume the company wants to complete the project as early as possible, a) what is the added project cost?
You need not to show the network diagram.
Activity |
Immediate Predecessor |
Normal Time (Days) |
Crash Time (Days) |
Normal Cost |
Crash Cost |
A |
None |
8 |
7 |
$45 |
$50 |
B |
A |
3 |
1 |
$60 |
$65 |
C |
A |
11 |
9 |
$110 |
$150 |
D |
A |
6 |
5 |
$50 |
$90 |
E |
B |
9 |
6 |
$90 |
$120 |
F |
E |
2 |
1 |
$20 |
$40 |
G |
C, D |
5 |
4 |
$80 |
$100 |
H |
D |
7 |
6 |
$70 |
$100 |
I |
E, G |
4 |
4 |
$40 |
$40 |
J |
H |
8 |
7 |
$110 |
$120 |
K |
F, I, J |
15 |
13 |
$150 |
$250 |
b) What is project management?
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Activity | Normal Time (A) | Crash Time (B) | Normal Cost ( C) | Crash Cost (D) |
Crashing Cost (D-C) |
Slope =Crash cost per day (D-C/A-B) |
A | 8 | 7 | 45 | 50 | 5 | 5 |
B | 3 | 1 | 60 | 65 | 5 | 2.5 |
C | 11 | 9 | 110 | 150 | 40 | 20 |
D | 6 | 5 | 50 | 90 | 40 | 40 |
E | 9 | 6 | 90 | 120 | 30 | 10 |
F | 2 | 1 | 20 | 40 | 20 | 20 |
G | 5 | 4 | 80 | 100 | 20 | 20 |
H | 7 | 6 | 70 | 100 | 30 | 30 |
I | 4 | 4 | 40 | 40 | 0 | |
J | 8 | 7 | 110 | 120 | 10 | 10 |
K | 15 | 13 | 150 | 250 | 100 | 50 |
Path | Pathlength |
ABEFK | 37 |
ABEIK | 39 |
ACGIK | 43 |
ADGIK | 38 |
ADHJK | 44 |
Crashing critical activity A with least slope | ||||||
Path | Pathlength | |||||
ABEFK | 36 | |||||
ABEIK | 38 | |||||
ACGIK | 42 | |||||
ADGIK | 37 | |||||
ADHJK | 43 | |||||
Crashing J | ||||||
Path | Pathlength | |||||
ABEFK | 36 | |||||
ABEIK | 38 | |||||
ACGIK | 42 | |||||
ADGIK | 37 | |||||
ADHJK | 42 | |||||
Crashing H, C and K | ||||||
Path | Pathlength | |||||
ABEFK | 34 | |||||
ABEIK | 36 | |||||
ACGIK | 37 | |||||
ADGIK | 34 | |||||
ADHJK | 39 | |||||
Crashing D and G | ||||||
Path | Pathlength | |||||
ABEFK | 34 | |||||
ABEIK | 36 | |||||
ACGIK | 38 | |||||
ADGIK | 35 | |||||
ADHJK | 38 | |||||
Further crashing will not reduce critical path length and hence no benefit of crashing further |
Therefore added project cost is crashing cost of A,D,H,J,K, C and G
= 5+40+30+10+100+40+20
= $245 Answer
b)
Project management is the management of project activities using knowledge, skills, methods, tools and techniques to achieve the project activities in a controlled and planned fashion. It is a process-driven approach to plan, manage and organize the efforts to accomplish project activities