Acc 123 Management Science Exercise on Project Management 1. : 12-19 Tom Schriber, a director of personnel of Manage- ment Resources, Inc., is in the process of designing a program that its customers can use in the job-finding process. Some of the activities include preparing resumés, writing letters, making appointments to see prospective employers, researching companies and industries, and so on. Some of the information on the activities is shown in the following table: DAYS IMMEDIATE АСTIVITY b PREDECESSORS A 8 10 12 B 6. 7 9 3. 4 D 10 20 30 A E 7 F 10 11 В. D. E G 10 В. D. E H 14 15 16 F 10 11 13 F 7 8 G, H I, J G, H K 4 8 L 2 4 (a) Construct a network for this problem. (b) Determine the expected time and variance for each activity. (c) Determine ES, EF, LS, LF, and slack for each activity. (d) Determine the critical path and project comple- tion time. (e) ) Determine the probability that the project will be finished in 70 days or less. (f) Determine the probability that the project will be finished in 80 days or less. 88 |E Wrap Text A* **..
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
1. Construct a network for this problem.
2. Determine the expected time and variance for each activity.
3. Determine ES. EF. IS. LE and slack for each activity.
4. Determine the critical path and project completion time.
5. Determine the probability that the project will be finished in 70 days or less.
6. Determine the probability that the project will be finished in 80 days or less.
7. Determine the probability that the project will be finished in 90 days or less.
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