CASE # $3$

You are tasked with managing the construction of a new bridge over a river. The project involves several critical activities that must be completed in a timely manner to ensure the successful completion of the bridge. Below is a list of activities along with their respective durations and dependencies:

Activity: A Description: Site Preparation Duration: $10$ days Predecessors: None

Activity: B Description: Foundation Construction Duration: $20$ days Predecessors: A

Activity: C Description: Pier Construction Duration: $30$ days

Predecessors: B

Activity: D Description: Deck Construction Duration: $25$ days

Predecessors: C

Activity: E Description: Railings Installation Duration: $15$ days Predecessors: D

Activity: F Description: Final Inspection Duration: $5$ days

Predecessors: E

Using the Critical Path Method $($CPM$)$ or Program Evaluation and Review Technique $($PERT$),$ answer the following questions:

Construct the activity network for this project $-$ include EST, EFT, LST and LFT in your diagram

Determine the slack and float for each activity

Determine critical path for this project.

Calculate the total duration of the project.

Identify any non$-$critical paths and their durations.

If Activity $B$ is delayed by $5$ days due to unforeseen circumstances, how will it impact the project timeline?

Recalculate the critical path and total duration accordingly.

Note: You may assume that all activities can be started as soon as their predecessors are completed and that there are no resource constraints.

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