Question

Embassy Club Condominium, located on the west coast of Florida, is undertaking a summer renovation of its main building. The project is scheduled to begin May 1, and a September 1 (17-week) completion date is desired. The condominium manager identified the following renovation activities and their estimated times:

	Immediate
Activity	Predecessor	Time
A	—	3
B	—	4
C	—	2
D	A, B, C	2
E	A, D	8
F	C, D	7
G	D, E	5
H	F	7

1. Which project network is correct?
   

   (i)		(ii)
   (iii)		(iv)

   
   
   
2. What are the critical activities?
   
   
   
3. What activity has the most slack time?
   
   
   
4. Will the project be completed by September 1? If your answer is zero enter “0”.
   
   
   
   Project Completion Time is  weeks.
   
   If your answer is zero enter “0”.
   
   

   Earliest

   Latest

   Earliest

   Latest

   Critical

   Activity

   Start

   Start

   Finish

   Finish

   Slack

   Activity

   A

   B

   C

   D

   E

   F

   G

   H

Answer 1

ACTIVITY	TIME	ES	EF	LS	LF	SLACK	CRITICAL
A	3	0	3	1	4	1
B	4	0	4	0	4	0	YES
C	2	0	2	2	4	2
D	2	4	6	4	6	0	YES
E	8	6	14	7	15	1
F	7	6	13	6	13	0	YES
G	5	14	19	15	20	1
H	7	13	20	13	20	0	YES

FORWARD PASS

We calculate the ES and EF values using a forward pass where the ES of an activity is the maximum EF of all the predecessor activities.

BACKWARD PASS

We calculate the LS and LF values using a backward pass where the LF of the activity is the minimum of all the successor activities.

SLACK

Slack is the value which is determined by subtracting EF from the LF or ES from the LS.

CRITICAL PATH

Critical path is the chain in the project network where the slack value of all the activities is 0, what this means is that any delay in these activities would result in delaying the entire project.

CRITICAL PATH = BDFH

DURATION OF PROJECT = 20

ACTIVITY C HAS THE MOST SLACK OF 2

YES, THE PROJECT WILL BE COMPLETED BY 1ST SEPTEMBER