A competitor of Kozar International, Inc. has begun marketing a new instant-developing film project. Kozar has had a similar product under study in its R&D department but has not yet been able to begin production. Because of the competitor's action, top managers have asked for a speedup of R&D activities so that Kozar can produce and market instant film at the earliest possible date. The predecessor information and activity time estimates in months are shown in the following columns. Immediate Optimistic Most Probable Pessimistic Activity Predecessor(s) Time Time Time A — 3.5 5 6.5 B A 1.5 3 4.5 C A 2 4 6 D B, C 3.5 4.5 8.5 E B 1 3 5 F C, D 7.5 8.5 12.5 G E, F 6 8 10 Compute expected times and variances for each activity. Round your answers for the expected times to nearest whole number and for the variances to two decimal places. Activity Mean Variance A B C D E F G Develop an activity schedule for this project using early and late start and finish times and compute activity slack time. If your answer is zero, enter "0". Round your answers to the nearest whole number. Immediate Time Earliest Earliest Latest Latest Activity Predecessor(s) (months) Start Finish Start Finish Slack A — B A C A D B, C E B F C, D G E, F Define the critical path. The critical path is ____ .
A competitor of Kozar International, Inc. has begun marketing a new instant-developing film project. Kozar has had a similar product under study in its R&D department but has not yet been able to begin production. Because of the competitor's action, top managers have asked for a speedup of R&D activities so that Kozar can produce and market instant film at the earliest possible date. The predecessor information and activity time estimates in months are shown in the following columns.
| Immediate | Optimistic | Most Probable | Pessimistic | ||
| Activity | Predecessor(s) | Time | Time | Time | |
| A | — | 3.5 | 5 | 6.5 | |
| B | A | 1.5 | 3 | 4.5 | |
| C | A | 2 | 4 | 6 | |
| D | B, C | 3.5 | 4.5 | 8.5 | |
| E | B | 1 | 3 | 5 | |
| F | C, D | 7.5 | 8.5 | 12.5 | |
| G | E, F | 6 | 8 | 10 |
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Compute expected times and variances for each activity. Round your answers for the expected times to nearest whole number and for the variances to two decimal places.
Activity Mean Variance A
B
C
D
E
F
G
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Develop an activity
schedule for this project using early and late start and finish times and compute activity slack time. If your answer is zero, enter "0". Round your answers to the nearest whole number.
| Immediate | Time | Earliest | Earliest | Latest | Latest | ||
| Activity | Predecessor(s) | (months) | Start | Finish | Start | Finish | Slack |
|
A |
— | ||||||
|
B |
A | ||||||
|
C |
A | ||||||
|
D |
B, C | ||||||
|
E |
B | ||||||
|
F |
C, D | ||||||
|
G |
E, F |
Define the critical path.
The critical path is ____ .
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What is the probability of completion in 30, 31, and 32 weeks? Use Appendix A to answer the question. Do not round intermediate calculations. Round your answers to four decimal places.
Probability of completion in 30 weeks:
Probability of completion in 31 weeks:
Probability of completion in 32 weeks:
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