$6.$ The following table shows the data for a construction project. Late completion has a $\backslash (\backslash$$ $5000\backslash )/$day penalty. a$.$ Draw the project diagram and determine the critical path. b$.$ Find the earliest and latest start time of each activity. c$.$ Just as the project is about to begin, you are informed that activity D will now have $35$ days duration, because of a strike at the subcontractor responsible for the activity. Determine the effect on the project's finish date, and discuss at least two different strategies you could use to complete the project as close to on$-$time as possible.