Question 2 (20 marks) A firm is completing a tender for a construction job. The data below have been collected concerning the sequencing, costing and timing of tasks constituting the project. Activity Crash Cost (5000) Normal Time (weeks) 3 4 3 2. 5 4 8 7 6 7 0-1 0-2 0-3 1-4 2-4 3-5 4-6 5-6 5-7 6-7 Normal Cost ($000) 30 50 20 10 40 35 70 90 60 50 Crash Time (weeks) 3 3 3 2 2 3 6 7 4 6 30 55 20 10 62.5 45 100 90 80 80 Required: (a) Identify all the paths in the network, clearly indicate each activity and its normal time. (4 marks) (b) Calculate the time for each path. Identify the tasks comprising the critical path and the estimated project completion time. (4 marks) c) Calculate the normal cost of the project. (3 marks) (d) What is the shortest time within which the project may be completed? What is the minimum cost of completing in the shortest time? Justify with calculations. (5 marks) (e) Briefly outline the substantive differences between the "critical path method" and the "programme evaluation and review technique" approaches to network analysis. (4 marks)