Question

1. 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

Answer 1

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

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