1. Allen Machines specializes in developing weed-harvesting equipment that is used to clear small lakes of weeds. Allen Machines is contemplating the construction of a machine that would harvest weeds on narrow rivers and waterways. The activities and time in weeks necessary to build one of these experimental machines are shown in the table below.
|
Activity
|
Immediate Predecessors
|
Time in Weeks
|
|
A
|
none
|
6
|
|
B
|
none
|
5
|
|
C
|
A
|
3
|
|
D
|
A
|
2
|
|
E
|
B
|
4
|
|
F
|
B
|
6
|
|
G
|
C,E
|
10
|
|
H
|
D,F
|
7
|
1. What is the minimum possible time required for completing the project?
2. What is the latest possible time that Activity D may be started without delaying the completion of the project?
3. What is the latest finish time for Activity F?
4. What is/are the critical path(s)?