Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 14

In the Third Battle of Bull Run, for which a CPM/PERT network was developed in Problem, General Beauregard would have won if his preparations had been completed in 15 days. What would the probability of General Beauregard's winning the battle have been
Problem
Consider the network in Problem, but with the following new time estimates for each activity:
Determine the following:
a. Expected activity times
b. Earliest activity times
c. Latest activity times
d. Activity slack
e. Critical path
f. Expected project duration and variance
Problem
In one of the little-known battles of the Civil War, General Tecumseh Beauregard lost the Third Battle of Bull Run because his preparations were not complete when the enemy attacked. If the critical path method had been available, the general could have planned better. Suppose that the following planning network, with activity times in days, had been available:

Determine the earliest and latest activity times and the activity slack for the network. Indicate the critical path and the time between the general's receipt of battle orders and the onset of battle.