Problem $1$

Consider the following project. The project activities, durations, and dependency relationships are given in the table below:

a$)$ Draw the Gantt chart for this project, including showing dependencies between activities.

b$)$ Suppose this project is to be executed over the holiday season, beginning on December $20.$ Draw the Gantt chart for this project with specific dates listed, taking work days into consideration. On what date is the project expected to be completed? Assume December $20$ is a Sunday, and Christmas Day and New Year's Day are holidays.

Problem $2$

For the project described in Problem $1,$ complete the following:

a$)$ Draw the activity$-$on$-$node network diagram for this project. Calculate the ES$,$ EF$,$ LS$,$ LF$,$ TF$,$ and FF for each activity. Assume all activities have finish$-$to$-$start relationships with no lags.

b$)$ List all the possible paths through the network and the durations of each path.

c$)$ What is the critical path for this project? What is the total project duration?

Problem $3$

Now suppose the truck that is delivering the materials breaks down, and the delivery of materials is delayed by $5$ days.

a$)$ Recalculate the ES$,$ EF$,$ LS$,$ LF$,$ TF$,$ and FF for each activity. Which activities are impacted by this delay, i$.$e$.,$ in terms of start$/$finish dates and$/$or float values?

b$)$ With the delay, has the critical path changed? If so$,$ what is the new critical path? What is the new total project duration?

c$)$ Compare the length of the delay with the impact of the delay on the project duration.