minimum total cost

minimum total cost
Table 2.8 contains data for the installation of new equipment in a manufacturing process at your customer’s plant. Your company is responsible for the project. Indirect costs are $10,000 per week, and a penalty cost of $10,000 per week will be incurred for every week the projects is delayed beyond week 9.
What is the shortest time duration for the project regardless of cost?
What is the minimum total cost associated with completing the project in 12 weeks?
What is total time of the minimum-cost schedule?
TABLE 2.8
DATA FOR THE EQUIPMENT INSTALLATION PROJECT
Activity
Normal Time (days)
Normal Cost ($)
Crash Time (days)
Crash Cost ($)
Immediate Predecessor($)
A
–
3
2
7,000
10,000
B
–
1
1
3,000
3,000
C
A
4
2
12,000
40,000
D
B
2
1
12,000
28,000
E
C
1
1
8,000
8,000
F
D,E
4
2
5,000
15,000
G
E
2
1
9,000
18,000