minimum-cost project schedule

minimum-cost project schedule
You are in charge of a project at the local community center. The center needs to remodel one of the rooms in time for the start of a new program. Delays in the project mean that the center must rent other space at a nearby church at additional cost. Time and cost data for your project are contained in Table. Your interest is in minimizing the cost of the project of the community center.
a. Using the normal times for each activity, what is the earliest date you can complete the project?
b. Suppose the variable overhead costs are $50 per day for your project. Also, suppose that the center must pay $40 per day for a temporary room on day 15 or beyond. Find the minimum-cost project schedule.
DATA FOR THE COMMUNITY CENTER PROJECT
Activity
Normal Time (days)
Normal Cost ($)
Crash Time (days)
Crash Cost ($)
Immediate Predecessor($)
START




–
A
10
50
8
150
START
B
4
40
2
200
START
C
7
70
6
160
B
D
2
20
1
50
A, C
E
3
30
NONE
NONE
A,C
F
8
80
5
290
B
G
5
50
4
180
D
H
6
60
3
180
E, F
FINISH




G, H