Refer to the activity list given in Prob. 10.2-2 as Christine Phillips does more detailed planning for next spring’s sales man agement training program for her company. After constructing the project network (described in the back of the book as the answer for Prob. 10.2-2), she now is ready for the following steps.

(a) Find all the paths and path lengths through this project network. Which of these paths is a critical path?

(b) Find the earliest times, latest times, and slack for each activity. Use this information to determine which of the paths is a critical path.

(c) It is now one week later, and Christine is ahead of schedule.
She has already selected a location for the sales meeting, and all the other activities are right on schedule. Will this shorten the length of the project? Why or why not?