Problem 2 (25 Points): The activities, durations, and relationships for this project are indicated below.
1. (15 points)Determine the Earliest Start, Latest Start, and Total Float of each activity.
2. (10 points) Create a Gantt Chart for this project.
Activity Description Time (days) Preceding Activities
A Purchase the vehicle 2 –
B Register and obtain licensing for the vehicle 5 A
C Purchase insurance 2 B
D Remove the existing engine 2 A
E Modify motor mounts 1 D
F Modify bell housing/transmission 3 D
G Install test engine 2 E, F
H Modify exhaust, air intake, cooling, and fuel systems 4 G
I Modify electrical system 5 H
J Test vehicle 8 I
Problem 3 (35 Points):
1. (30 points)Use PERT analysis to estimate the probability that this project will be completed over 43 weeks.
2. (5 points)State your conclusion when the project is required to be completed within 43 weeks.
Activity Optimistic Time (weeks)
Mode
Time (weeks)
Pessimistic
Time (weeks)
Preceding Activities
A 1 2 3 –
B 2 3.5 8 A
C 6 9 18 B
D 4 5.5 10 C
E 1 4.5 5 C
F 4 4 10 E
G 5 6.5 11 D
H 5 8 17 E, G
I 3 7.5 9 C
J 3 9 9 F, I
K 4 4 4 J
L 1 5.5 7 J
M 1 2 3 H
N 5 5.5 9 K, L