3. Six Flags Great America is constructing a new roller coaster. The project is scheduled to begin in the winter and they hope to have it ready for their busy summer season. The roller coaster planner has identified the following activities and their estimated times: Activity ABCDEFGH Immediate Predecessor A, B, C D A D, F E Time (Weeks) 3 1 245367 a) Draw the project network and compute the earliest start (ES) time, latest start (LS) time, earliest finish (EF) time and latest finish (LF) time for each activity. b) How long will it take to complete the roller coaster? c) What is the critical path? d) Compute the slack for each of the non-critical activities. e) If the planner were to add extra resources to activity F so that it takes 2 weeks instead of 3 weeks, how long would it take to complete the roller coaster? f) If the planner were to add extra resources to activity D so that it takes 3 weeks instead of 4 weeks, how long would it take to complete the roller coaster? g) A component needed to complete activity G has been damaged and a replacement has been ordered. Due to this, activity G will take eight weeks longer than originally estimated. By how many weeks will the completion of the roller coaster be delayed?