Question
Due to population growth in the area, the new Liberty High School has just opened in a local school district. The athletic director at Liberty
Due to population growth in the area, the new Liberty High School has just opened in a local school district. The athletic director at Liberty High is planning the launch of the school's track and field team. The first team practice is scheduled for April 1. The activities, their immediate predecessors, and the activity time estimates (in weeks) are listed in the following table.
Time (Weeks) | |||||
---|---|---|---|---|---|
Activity | Description | Immediate Predecessor | Optimistic | Most Probable | Pessimistic |
A | Meet with board | 1 | 1 | 2 | |
B | Hire coaches | A | 4 | 6 | 8 |
C | Conduct fundraiser | A | 2 | 4 | 6 |
D | Announce program | B, C | 1 | 2 | 3 |
E | Meet with coaches | B | 2 | 3 | 4 |
F | Order team equipment | A | 1 | 2 | 3 |
G | Register athletes | D | 1 | 2 | 3 |
H | Reserve buses for meets | G | 1 | 2 | 3 |
I | Plan first practice | E, H, F | 1 | 1 | 1 |
(b)
Develop an activity schedule. (Round your answers to two decimal places.)
Activity | Earliest Start | Latest Start | Earliest Finish | Latest Finish | Slack |
---|---|---|---|---|---|
A | |||||
B | |||||
C | |||||
D | |||||
E | |||||
F | |||||
G | |||||
H | |||||
I |
(c)
What are the critical activities? (Enter your answers as a comma-separated list.)
What is the expected project completion time (in weeks)? (Round your answer to two decimal places.)
weeks
(d)
If the athletic director plans to start the project on January 1, calculate the probability the track and field team will be ready by the scheduled April 1 date (13 weeks) based solely on the critical path. (Round your answer to four decimal places.)
Should the athletic director begin planning the track and field team before January 1? (The probability for finishing on schedule should be at least 0.9.)
Since the probability that the track and field team will be ready by April 1 is ---Select--- greater less than 0.9, the athletic director ---Select--- should should not begin planning before January 1.
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