please show all work.

3) Activity B D E optimistic 3 days 2 days 5 days 8 days 2 days most likely 4 days 2 days 6 days 10 days 4 days pessimistic 5 days 5 days 10 days 12 days 6 days predecessor none none A and B A Te a+4m+b 6 Potentially useful formulae: Standard deviation - variance VE 2 b-a 6 Z=target time - finish time Standard deviation 3a) Create an AON network diagram for this project. 3b) Using PERT assumptions, calculate the individual expected times (Te) for each activity 3e) Which tasks are on the critical path, and what is the expected completion time for the project? 3d) What is the likelihood that you can complete this project in 15 days? See the attached chart or use MS Excel. 3e) Now assume more limited resources....say that only one person is doing all of these tasks and that he or she cannot do them simultaneously. Now what is the new critical path and expected time? 3f) How much time does it save to do this project with two people instead of one person? How much more does it cost to have two people instead of one person if each person working costs $500/day? Would it be worth using the second person if it would lead to a project bonus of $5,000 bonus for early delivery?...why or why not