Question

Part 1) I'm providing the table of work packages, durations, and successors. You must submit a diagram with the forward and backward pass completed. You must also indicate the critical path. Assume Finish to Start relationships:

WP	Duration	Successors
A	3	B, C
B	10	D
C	4	E, F
D	2	E
E	6	G
F	12	G
G	5

Part 2) Same as before:

WP	Duration	Successors
A	6	B
B	21	C, D
C	13	D, E, F
D	9	F
E	2	G
F	26	H
G	13	H, I
H	7	I, J
I	8	K
J	19	K
K	4	L
L	8

Answer 1

Part - 1: Based on the given data, we prepare a project network diagram as shown below:

We carry out forward pass as shown below:

We carry out a backward pass and find slack as shown below:

The above network diagram in the form of formulas is shown below for better understanding and reference:

The above project diagram is prepared as per the legend shown in the top-left corner.

EST = Early start time

LST = Late start time

EFT = Early finish time

LFT = Late finish time

SLK = Slack = LST - EST or Slack = LFT - EFT

The EST of an activity = EFT of previous activity

EFT of an activity = EST + Duration

Similarly, LFT & LST are calculated during the backward pass.

There are multiple paths in the diagram. However, path A-B-D-E-G is the longest path and has 0 slack. Hence, this is the critical path of the project.

Part-2: We prepare a project diagram in the procedure shown above with forward and backward pass along with slack as shown below:

The above network diagram in the form of formulas is shown below for better understanding and reference:

Path A-B-C-D-F-H-J-K-L is the longest path and has 0 slack. Hence, this is the critical path of the project.

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