1. Activity R on a CPM network has predecessors M and N, and has successor S. R has duration 5. N's late finish is 18, while M's is 20. S's late start is 14. Which of the following is definitely true?
A) R is critical and has zero slack.
B) R has no slack but is not critical.
C) The set of given times cannot all be possible.
D) N is a critical activity.
E) S is a critical activity.
2. Which of the following statements regarding CPM networks is true?
A) There can be multiple critical paths on the same project, all with different durations.
B) The early finish of an activity is the latest early start of all preceding activities.
C) The late start of an activity is its late finish plus its duration.
D) If a specific project has multiple critical paths, all of them will have the same duration.
E) All of the above are false.
3. An activity on a PERT network has these time estimates: optimistic = 1, most likely = 2, and pessimistic = 5. Its expected time is
A) 2.00
B) 2.33
C) 2.67
D) 8.00
E) none of these
4. A contractor's project being analyzed by PERT has an estimated time for the critical path of 120 days. The sum of all activity variances is 81; the sum of variances along the critical path is 64. The probability that the project will take 130 or more days to complete is
A) 0.1057
B) 0.1335
C) 0.8512
D) 0.8943
E) 1.29
5. If an activity whose normal duration is 15 days can be shortened to 10 days for an added cost of $2,000, the crash cost per period is
A) $400
B) $2,000
C) $10,000
D) $20,000
E) $30,000
6. Which of the following statements regarding PERT analysis is true?
A) Each activity has two estimates of its duration.
B) Project variance is the sum of all activity variances.
C) Project standard deviation is the sum of all critical activity standard deviations.
D) Only critical activities contribute to the project variance.
E) None of the above is true.