The Valley United Soccer Club is planning a soccer tournament for the weekend of April 29 and 30.

The club’s officers know that by March 30 they must send out acceptances to teams that have applied to enter and that by April 15 they must send out the tournament game schedule to teams that have been selected to play. Their tentative plan is to begin the initial activities for tournament preparation, including sending out the application forms to prospective teams, on January 20. Following is a list of tournament activities, their precedence relationships, and estimates of their duration, in days:

Activity Predecessor Time Estimates (days)

Activity Activity Description a m b a Send application forms — 5 7 10 b Get volunteer workers — 10 18 26 c Line up referees — 7 10 14 d Reserve fields — 14 21 35 e Receive and process forms a 30 30 30 f Determine age divisions

b, c,

d, e 4 9 12 g Assign fields to divisions f 4 7 10 h Sell program ads b 14 21 30 i Acquire donated items for team gift bags b 15 20 26 j Schedule games g 6 14 18 k Design ads h 5 8 10 l Fill gift bags i 9 12 17 m Process team T-shirt orders e 7 10 14 Time Estimates (days)

Activity Activity Description a m b n Send acceptance letters f 4 7 12 o Design and print programs j, k, l, n 14 18 24 p Put together registration boxes (programs, gifts, etc.)

o 5 7 10 q Send out game schedules j, k, l, n 5 8 12 r Assign referees to games j, k, l, n 4 7 10 s Get trophies f 20 28 35 t Silk-screen T-shirts m 12 17 25 u Package team T-shirt orders t 5 8 12 Develop a project network for the club’s tournament preparation process and determine the likelihood that it will meet its schedule milestones and complete the process according to the scheduled tournament date of April 29.

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