1.The critical path of a network is the
A) shortest time path through the network.
B) path with the fewest activities.
C) path with the most activities.
D) longest time path through the network.
E) None of the above
2.The first step in planning and scheduling a project is to develop the
A) employee scheduling plan.
B) PERT/CPM network diagram.
C) critical path.
D) work breakdown structure.
E) variance calculations for each activity.
Table 13-4
The following represents a project with known activity times. All times are in weeks.
Activity Immediate
Predecessor Time
A - 4
B - 3
C A 2
D B 7
E C, D 4
F B 5
G E, F 4
3. Using the data in Table 13-4, what is the minimum possible time required for
completing the project?
(a) 8
(b) 12
(c) 18
(d) 10
(e) none of the above
4. Using the data in Table 13-4, what is the latest possible time that C may be started
without delaying completion of the project?
(a) 0
(b) 4
(c) 8
(d) 10
(e) none of the above
5. Using the data in Table 13-4, compute the slack time for activity D.
(a) 0
(b) 5
(c) 3
(d) 6
(e) none of the above
6. Consider a project that has an expected completion time of 50 weeks and a standard deviation of 9 weeks. What is the probability that the project is finished in 57 weeks or fewer? (Round to two decimals.)
(a) 0.68
(b) 0.78
(c) 0.22
(d) 0.32
(e) none of the above
The following table provides information for the next two questions.
Table 13-6
Activity Immediate
Predecessor Optimistic Most
Likely Pessimistic Expec-ted t s s2
A - 2 3 4 3 0.333 0.111
B - 2 5 8 5 1.000 1.000
C A 1 2 9 3 1.330 1.780
D A 5 5 5 5 0.000 0.000
E B, C 6 7 8 7 0.333 0.111
F B 12 12 12 12 0.000 0.000
G D, E 1 5 9 5 1.333 1.780
H G, F 1 4 8 4.167 1.167 1.362
7. Which activities are part of the critical path?
(a) A, B, E, G, H
(b) A, C, E, G, H
(c) A, D, G, H
(d) B, F, H
(e) none of the above
8. What is the variance of the critical path?
(a) 5.222
(b) 4.364
(c) 1.362
(d) 5.144
(e) none of the above
Table 14-1
M/M/2
Mean Arrival Rate: 9 occurrences per minute
Mean Service Rate: 7 occurrences per minute
Number of Servers: 2
Queue Statistics:
Mean Number of Units in the System: 2.191
Mean Number of Units in the Queue: 0.905
Mean Time in the System: 14.609 minutes
Mean Time in the Queue: 6.037 minutes
Service Facility Utilization Factor: 0.643
Probability of No Units in System: 0.217
9. According to the information provided in Table 14-1, on average, how many units are in the line?
(a) 0.643
(b) 2.191
(c) 2.307
(d) 0.217
(e) 0.905
10. According to the information provided in Table 14-1, what proportion of time is at least one server busy?
(a) 0.643
(b) 0.905
(c) 0.783
(d) 0.091
(e) none of the above
11. Using the information provided in Table 14-1 and counting each person being served and the people in line, on average, how many people would be in this system?
(a) 0.905
(b) 2.191
(c) 6.037
(d) 14.609
(e) none of the above
12. According to the information provided in Table 14-1, what is the average time spent by a person in this system?
(a) 0.905 minutes
(b) 2.191 minutes
(c) 6.037 minutes
(d) 14.609 minutes
(e) none of the above
13. According to the information provided in Table 14-1, what percentage of the total available service time is being used?
(a) 90.5%
(b) 21.7%
(c) 64.3%
(d) It could be any of the above, depending on other factors.
(e) none of the above
Table 14-5
M/D/1
Mean Arrival Rate: 5 occurrences per minute
Constant Service Rate: 7 occurrences per minute
Queue Statistics:
Mean Number of Units in the System: 1.607
Mean Number of Units in the Queue: 0.893
Mean Time in the System: 0.321 minutes
Mean Time in the Queue: 0.179 minutes
Service Facility Utilization Factor: 0.714
14. According to the information provided in Table 14-5, which presents the solution for a queuing problem with a constant service rate, on average, how much time is spent waiting in line?
(a) 1.607 minutes
(b) 0.714 minutes
(c) 0.179 minutes
(d) 0.893 minutes
(e) none of the above
15. According to the information provided in Table 14-5, which presents the solution for a queuing problem with a constant service rate, on average, how many customers are in the system?
(a) 0.893
(b) 0.714
(c) 1.607
(d) 0.375
(e) none of the above
16. According to the information provided in Table 14-5, which presents a queuing problem solution for a queuing problem with a constant service rate, on average, how many customers arrive per time period?
(a) 5
(b) 7
(c) 1.607
(d) 0.893
(e) none of the above
Table 15-2
A pharmacy is considering hiring another pharmacist to better serve customers. To help analyze this situation, records are kept to determine how many customers will arrive in any 10-minute interval. Based on 100 ten-minute intervals, the following probability distribution has been developed and random numbers assigned to each event.
Number of Arrivals Probability Interval of Random Numbers
6 0.2 01-20
7 0.3 21-50
8 0.3 51-80
9 0.1 81-90
10 0.1 91-00
17. According to Table 15-2, the number of arrivals in any 10-minute period is between 6 and 10, inclusive. Suppose the next three random numbers were 18, 89, and 67, and these were used to simulate arrivals in the next three 10-minute intervals. How many customers would have arrived during this 30-minute time period?
(a) 22
(b) 23
(c) 24
(d)25
(e) none of the above
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