Question 3 (25 marks) The table below indicates the precedence requirements, activity times, and normal and crash costs for a construction project. Activity Precedes Normal Time (weeks) Normal Cost A B, C De E, Fe G, He He He De 52 42 32 62 42 52 42 52 52 62 $7,000 5000 4000 10,000 9000 70002 9,000 8,000 10,000 6,000 Crashing Cost ($ per week) Can crash activities 1 or 2 weeks; First Week Second Week $1200 $1200 1000 1000 10002 11002 5002 500 7502 7502 12002 1200 12002 12002 15002 1500 12002 Ge He Ende Ende (a) (b) Sketch a precedence network diagram to depict the project activities. (3 marks) Complete a forward and backward pass to determine the ES, EF, LS and LF times for each project activity. (6 marks) Determine the critical path and establish the minimum amount of time complete the entire project without crashing. (4 marks) (c)