1. Problem solving

2. Time control

3. Exercise 1
The project is the following: We have to create a prototype of some kind of a machine. The first step is planning the whole process (activity a, the expected duration is 5 days), than came the design phase (activity b, 6 days). Manufacturing is the third step (activity c, 7 days), and then an assembly process (activity d, 2 days). The project closes with a testing phase (activity e, 4 days).
Plot the Gantt chart of the project.
After 15 days, a and b are ready but nothing else.
Identify/calculate PTPT, ATWP, SPI, PTWP, PTC, ETC, ETPT, expected time slip.

4. Solution of ex. 1 PTPT = 5 + 6 + 7 + 2 + 4 = 24 calendar days
ATWP = 15 calendar days (= working days)
PTWP = = 11 working days
SPI = 11/15 = 73.33%
PTC = 24 working days – 11 working days = 13 wd
ETC = 13 / (11/15) = working days
ETPT = = ≈ 33 working days also ETPT = 24 / (11/15) = ≈ 33 calendar days
Expected time slip = 24 – 33 = -9 calendar days

5. Exercise 2
There is a project with the following planned data. The schedule-plan is presented in the table below.
After 8 days the actual monitoring report on progress: ’a’ 100% complete, ’b’ is 100% complete, ’c’ is 33.33% complete, d & e are at 0%.
It is possible to start an activity without finishing any other (there is no precedence relationship in the project).
a) What is the planned time to complete (PTC) the project?
b) Calculate the schedule performance index (SPI).
c) What is the estimated time to complete (ETC) the project?
d) What is the estimated TPT?
e) What is the estimated time slip for the whole project?
Activity label
Duration
Planned start a 4 b c 3 8 d 11 e 2 14

6. Exercise 3
There is a project with the following planned data. The schedule-plan is presented in the table below.
After 6 days the actual monitoring report on the progress of the project: ’a’ 75% complete, ’b’ is 50% complete, ’c’ & e are at 0%.
It is possible to start an activity without finishing any other (there is no precedence relationship in the project).
a) What is the planned time to complete (PTC) the project?
b) Calculate the schedule performance index (SPI).
c) What is the estimated time to complete (ETC) the project?
d) What is the estimated TPT?
e) What is the estimated time slip for the whole project?
Activity label
Duration
Planned start a 4 b 2 c 6 d 10

7. Cost control

8. Cost of the whole activity
Exercise 1
There is asmall project with the following network diagram: a b e c d
The following table contains the information on the activity durations and costs:
Activity label
Duration (day)
Cost of the whole activity a 3 60 b 4
120 c 2
100 d 90 e
Plot a Gantt chart from the information above and calculate the BCWS for every day of the project.

9. Exercise 1
The project manager receives a progress report of the first 5 days, with the following information:
Activity ‘a’ is completed in 3 days, it costed 75
25% of activity ‘b’ is completed during 2 days, 30 was paid
Half of activity ‘c’ is ready (time spent was 2 days), costs were 60
Activity ‘d’ and ‘ e’ are not started
Calculate BCWP and ACWP for the first 5 days
Calculate CPI, SPI, BCC, ECC, FCC, the estimated overspending, PTC, ETC, ETPT and the estimated slip.
Calculate the Earned Value for the first 5 days.
Plot the S curves of actual, planned and earned values for the project.

10. Exercise 2
There is a 4 weeks long project with the following cost data, after 2 weeks:
Calculate the ‘schedule variance in cost terms’, the ‘cost variance’, the ‘schedule performance index’ (SPI) and the ‘cost performance index’ (CPI) for the first two weeks.
1st week
2nd week
3rd week
4th week
BCWS
€200
€100
BCWP
€150
€120
ACWP

11. Total cost of the activity
Exercise 3
There is a project with the following planned data:
Activity label
Duration (day)
Total cost of the activity a 3
150 b 2
200 c
300 d e
100 a b d e c
Calculate the BCWS data for the whole project (activities placed to their ESTs)!
After 5 days, the monitoring system provides the following information:
Activity ‘a’ is completed
Activity ‘b’ is at 50%
Activity ‘c’, ‘d’ and ’e’ are 0% completed (not even started)
Money spent: 300
Calculate BCWS, BCWP and ACWP for the first 5 days
Calculate CPI, SPI, BCC, ECC and FCC

12. Daily cost of the activity
Exercise 4
There is a project with the following planned data:
Activity label
Duration (day)
Daily cost of the activity
Predecessor a 3
150 - b 2
200 c
100 d e f 1
250
c, e
Calculate the BCWS data for the whole project (activities placed to their ESTs)!
After 6 days, the monitoring system provides the following information:
Activity ‘a’ is completed
Activity ‘b’ is completed
Activity ‘c’ is at 67%
‘d’, ’e’ and ’f’ are 0% completed (not even started)
Money spent: 1000
Calculate BCWS, BCWP and ACWP for the first 6 days
Calculate CPI, SPI, BCC, ECC and FCC