QUESTION ONE: (20 MARKS) a) Kaguta, an experienced project manager for a construction project was struggling to bring back to life a building that had stalled for some years due to scarcity of funds. He provided the following information regarding the said project Crash cost Activity Normal time (weeks) Crash time (weeks) Normal cost (Kshs) (Kshs) 1-2 10 7 1000 1600 1-3 15 11 2000 2800 2-4 8 6 1800 2600 2-5 3-5 20 16 4500 5700 28 23 7200 9700 4-5 14 12 5000 6000 5-6 12 9 3300 4500 Required: (1) Draw the network diagram for the project,identify the critical path and completion time based on the normal times. (6 marks) Identify all the paths for the project. (2 marks) Determine the minimum project completion time with the least cost increase over normal costs and draw the new network diagram. (6 marks) (iii) b) Write short notes on the following concepts as used in project management; i. Slack ii. Resource Scheduling and Levelling (3 marks) (3 marks) (Total 20 marks)