The following activities of a hospital expansion project has been identified in the following table. First, all activities of the project are listed. Next, the immediate predecessor(s) of each activity is identified (activity relationships). Please plot the activity network diagram and answer the following questions.
Hospital Expansion Project
Activity |
Description |
Immediate predecessor(s) |
Activity Time (Weeks) |
---|---|---|---|
A |
Select administrative and medical staff |
- |
12 |
B |
Select site and do site survey |
- |
9 |
C |
Select equipment |
A |
10 |
D |
Prepare final construction plans and layout |
B |
10 |
E |
Bring utilities to the site |
B |
24 |
F |
Interview applicants and fill positions in nursing, support staff, maintenance, and security |
A |
10 |
G |
Purchase and take delivery of equipment |
C |
35 |
H |
Construct the hospital |
D |
40 |
I |
Develop an information system |
A |
15 |
J |
Install the equipment |
E, G, H |
4 |
K |
Train nurses and support staff |
F, I, J |
6 |
1) What are the project paths for hospital expansion project?
a. |
AFK, AIK, ACGJK, BDHJK, BEJK |
|
b. |
AFK, AIK, ABDJK, BCGJK, BEJK |
|
c. |
AFK, AJK, ACGJK, BDHJK, BEIK |
|
d. |
AFK, AIK, ABGJK, BCHJK, BEJK |
2) What is the project completion time in weeks?
a. |
33 weeks |
|
b. |
43 weeks |
|
c. |
67 weeks |
|
d. |
69 weeks |
3) Is activity H, constructing the hospital, a critical activity for this project? Please select the answer with the most appropriate justification.
a. |
Yes, because H has the longest activity time of 40 weeks. |
|
b. |
Yes, because H is on the path with the most activities. |
|
c. |
Yes, because H is on the path with the longest total activity time. |
|
d. |
No, A should be the critical activity because A precedes the most number of activities (C, F, and I). |
4) What is the slack of the activity C?
a. |
2 |
|
b. |
4 |
|
c. |
6 |
|
d. |
8 |
5) What is the slack of the activity H?
a. |
0 |
|
b. |
5 |
|
c. |
36 |
|
d. |
40 |
Activity | Preceding Activity | Duration, D | Early start, ES=Max of early finish of preceeding activities | Early finish, EF = ES + D | Late finish, LF= Min of LS of successor activities | Late start, LS= LF - D | Total slack= LF-EF | Activities on the critical path | Critical activity, activities with 0 slack time |
A | 12 | 0.00 | 12.00 | 14.00 | 2.00 | 2.00 | |||
B | 9 | 0.00 | 9.00 | 9.00 | 0.00 | 0.00 | B | YES | |
C | 10 | 12.00 | 22.00 | 24.00 | 14.00 | 2.00 | |||
D | 10 | 9.00 | 19.00 | 19.00 | 9.00 | 0.00 | D | YES | |
E | 24 | 9.00 | 33.00 | 59.00 | 35.00 | 26.00 | |||
F | 10 | 12.00 | 22.00 | 63.00 | 53.00 | 41.00 | |||
G | 35 | 22.00 | 57.00 | 59.00 | 24.00 | 2.00 | |||
H | 40 | 19.00 | 59.00 | 59.00 | 19.00 | 0.00 | H | YES | |
I | 15 | 12.00 | 27.00 | 63.00 | 48.00 | 36.00 | |||
J | 4 | 59.00 | 63.00 | 63.00 | 59.00 | 0.00 | J | ||
K | 6 | 63.00 | 69.00 | 69.00 | 63.00 | 0.00 | K |
Paths | All crash Activity Duration (days) | |
AFK | 28.00 | |
AIK | 33.00 | |
ACGJK | 67.00 | |
BDHJK | 69.00 | Critical Path |
BEJK | 43.00 |
Answer 1
Project paths for the hospital expansion project
a. |
AFK, AIK, ACGJK, BDHJK, BEJK |
Answer 2
Project completion time in weeks
(d) 69 weeks
Answer 3
Is activity H, constructing the hospital, a critical activity for
this project
() Yes, because H is on the path with the longest total activity
time
Answer 4
Slack of the activity C.
(a) 2 weeks
Answer 5
Slack of the activity H?
(a) 0
Dear Student,
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