A network maintenance project is planned for the university. The following table shows the particular activities, normal (expected) times, activity variances, crash times, and additional crash costs. For example, Activity B has a normal time of 12 days and can be crashed down to a minimum of 6 days for an additional cost of $1400 per day on top of the Normal Cost. Note that, normal (expected) times and activity variances are already calculated for you from the optimistic, most likely, and pessimistic time estimates assuming that each activity time follows an independent Beta distribution. Precedence relationship is demonstrated with the project network below. Using the given table and the project network, please answer the following questions: Activity A B C D E F G H 1 J K Normal Time (days) 9 12 18 9 6 6 6 6 7 6 8 Variances Activity Crash Time Crash Cost (days) (5) per day 7 1200 1400 900 1000 1350 1500 650 1700 1100 575 2500 6.25 9 9 5.0625 0.4444 0.6944 0 5.0625 9 8 16 8 4 5 4 5 5 4 5 START B 0 12 12 1 13 A 0 9 90 9 C018 18 0 18 Trial # E 12 18 6 13 19 D 9 18 99 18 G 18 24 6 20 26 F 18 24 6 19 25 H 18 24 6 18 24 Critical Path's before crashing LEGEND ID ES EF LS LF 124 31 725 32 K 24 32 8 24 32 Completion Time (before crashing) J 24 30 6 26 32 a) What is the probability that the project will take 30 to 37 days to complete? b) What project completion time should the project manager set as a goal to her team in order to be 87.50% confident that the project will be completed within that time frame? Your answer can be in days and you can provide the result in decimals. c) Suppose that for every day the project is shortened the maintenance firm will be awarded $3,500. What activities should be crashed and by how many days? Show your work using the table given below. At each trial reduce the project duration by one day stating which activity/ies should be crashed and how much it will cost to crash this activity/ies LINIS: Use the following table to answer. Add as many rows as you need and completely fill the table please H Activityles to be Crashed Crash Cost