Jane and Jim Smith are going to give a dinner party on Friday evening at 7:00 p.m. Their two children, Jerry and Judy, are going to help them get ready. The Smiths will all get home from work and school at 4:00 p.m. Jane and Jim have developed a project network to help them schedule their dinner preparations. Following is a list of the activities, the precedence relationships, and the activity times involved in the project:

Activity Description Activity Predecessor Time Estimates (min.)

Activity a m b a Prepare salad — 18 25 31 b Prepare appetizer — 15 23 30 c Dust/clean — 25 40 56 d Vacuum c 20 30 45 e Prepare dessert

a, b 12 21 30 f Set table d 10 17 25 g Get ice from market f 5 12 18 h Prepare/start tenderloin e 10 20 25 i Cut and prepare vegetables e 9 15 22 j Jim shower and dress g 8 10 15 k Jane shower and dress h, i, j 20 27 40 l Uncork wine/water carafes h, i, j 6 10 15 m Prepare bread k, l 4 7 10 n Prepare and set out dishes k, l 10 14 20 o Cut meat k, l 7 15 20 p Heat vegetable dish k, l 3 4 6 q Put out appetizers m 4 6 7 r Pour champagne o 5 8 10 Develop a project network and determine the earliest and latest start and finish times, activity slack, and critical path. Compute the probability that they will be ready by 7:00 p.m.

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