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Problem D: 10 points The Grenwalds will have an engagement party for their daughter, Alegra, on Saturday evening at 6PM. The couple's long-time neighbors are planning to help them since they've known Alegra since she was a child. Mr. and Mrs. Grenwald will get home at about 3PM. Mr. and Mrs. Grenwald decided to apply project management to help them prepare for the dinner. The table below is a list of activities and the preceding activities for the dinner prep. Your job is to develop a project network for the Grenwalds. Determine the earliest and latest start and finish times, activity slack, and critical path. Then let the Grenwalds know the probability that everything will be ready by 6PM. Based on the results of your analysis, recommend a strategy for the Grenwalds. Time estimates in minutes Activity Description Predecessor o m b A Prepare greens 18 25 31 B Prepare hor d'oeuvres 15 23 30 C Dust and clean guest areas 25 40 56 D D Vacuum guest areas C 20 30 45 E Prepare cake a, b 12 21 30 F Set up table d 10 17 25 G Buy ice from Safeway f 5 12 18 H Start main dish e 10 20 25 1 Prepare side dish e e 9 15 22 J Mr. Grenwald freshen and dress up 8 8 8 10 15 K Mrs. Grenwald freshen and dress up h, i, 20 27 40 1 L Prepare champagne hij 6 10 15 M Prepare bread k! 4 7 10 N Set up dishes and utensils k! 10 14 20 0 Carve main dish 7 15 20 P Heat side dish 3 4 6 Q 0 Bring out hor d'oeuvres m 4 6 7 R Pour champagne 5 8 10 . - - - 16 0 7