Question

In: Operations Management

Build the network and determine the critical path.

Expert Solution

Based on the given data, we prepare the project network diagram 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 backward pass.

There are multiple paths in the diagram:

1-2-4-7

1-2-5-6-7

1-3-4-7

1-3-5-6-7

Out of the above paths, path 1-2-4-7 is the longest path and has 0 slack. Hence, this is the critical path

keosha answered 2 years ago

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