Assignment:
Q1. Development of a new deluxe version of a particular software product is being considered. The activities necessary for the completion of this are listed in the table below.
|
Activity
|
Normal Time
|
Crash Time
|
Normal Cost
|
Crash Cost
|
Immediate
Predecessor
|
|
A
|
4
|
3
|
2000
|
2600
|
-
|
|
B
|
2
|
1
|
2200
|
2800
|
-
|
|
C
|
3
|
3
|
500
|
500
|
-
|
|
D
|
8
|
4
|
2300
|
2600
|
A
|
|
E
|
6
|
3
|
900
|
1200
|
B
|
|
F
|
3
|
2
|
3000
|
4200
|
C
|
|
G
|
4
|
2
|
1400
|
2000
|
D,E
|
Indirect costs = $200/week
Penalty (one time) = $4000 after week 12 (penalty is in effect at week 13)
Bonus (one time) = $2500 at week 10
1) What is the expected completion time for the project (before crashing)?
2) What is the critical path?
3) What activities will you crash?
4) What is the optimal time for the project?
5) What is the total cost of the project after crashing?
Q2.
Activity Pred Normal Time Normal Cost Crash Cost/wk Max Crash
A -- 4 7,000 1,000 1
B A 6 5,000 2,500 2
C B 10 13,400 3,800 1
D C 12 9,500 ------- 0
E A 23 17,700 3,600 3
F E 4 4,400 2,000 1
Indirect Costs = $2000/wk
Penalty = $1600/wk after week 28
Bonus = $5000 at week 22
1) What is the expected time of completion for the project?
2) What is the critical path?
3) What is the first activity you will crash?
4) What is the second activity you will crash?
5) What is the total cost of the project after crashing?
6) What is the optimal time of completion for the project?
Q3. A different version of the software product (from last week's problems) is also being considered. The activities necessary for the completion of this are listed in the table below.
|
Activity
|
Normal Time
|
Crash Time
|
Normal Cost
|
Crash Cost/wk
|
Immediate
Predecessor
|
|
|
|
|
|
|
|
|
A
|
4
|
3
|
2,000
|
400
|
-
|
|
B
|
5
|
3
|
2,200
|
300
|
A
|
|
C
|
3
|
3
|
500
|
-----
|
-
|
|
D
|
8
|
4
|
2,400
|
50
|
A
|
|
E
|
6
|
3
|
900
|
150
|
B
|
|
F
|
3
|
2
|
3,000
|
600
|
C
|
|
G
|
4
|
2
|
1,700
|
700
|
D,E
|
Indirect costs = $450/week
Penalty = $100/week after week 12 (penalty is in effect at week 13)
Bonus (one time) = $2500 at week 8
(a) What is the expected completion time for the project?
(b) What is the critical path?
(c) What is the critical path after crashing?
(d) What is the optimal time for the project?
(e) What is the total cost of the project after crashing?
Provide complete and step by step solution for the question and show calculations and use formulas.