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OPERATIONS RESEARCH Adrian n Ray a research and development company has a project which has a list of tasks to be performed whose time estimates

OPERATIONS RESEARCH

  1. Adrian n Ray a research and development company has a project which has a list of tasks to be performed whose time estimates are given in the table as follows.
I Activity j Activity T0 tm tp
1-2 A 4 6 8
1-3 B 2 3 10
1-4 C 6 8 16
2-4 D 1 2 3
3-4 E 6 7 8
3-5 F 6 7 14
4-6 G 3 5 7
4-7 H 4 11 12
5-7 I 2 4 6
6-7 J 2 9 10

  1. Draw the project network.
  2. Find the critical path.
  3. Find the probability that the project is completed in 19 days. If the probability is lessthan 20%, find the probability of completing it in 24 days.

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