EST ECT Activity (Earliest Start LST LCT (Earliest Time) (Latest Start A 1 Completion Time) (Latest Completion Slack Time) Time) The network diagram assuming normal activity times is shown below. 0 3 1 A 2 4 3 6 D,1 E,3 4 7 R 0 5 2 C 2 B,4 0 4 O 4 G.1 D 3 0 6 8 E 3 4 7 0 A,3 F 7 lo 7 10 F,4 G 5 10 7 12 8 10 C,3 10 12 O (f) What is the LCT (latest completion time) of G (in hours)? 10 (1) You will want to fill in the missing entries in the table below. That will help you to answer the questions that follow. Slack (weeks) Path Path Time (weeks) (g) Can you delay D without impacting G? YES or NO? No (1) (h) How much delay (in hours) can you have in A2 without delaying the project? 1 (1) (i) How much delay (in hours) can you have in A2 without impacting F? (1) (j) If Al takes 4 hours to complete, how much delay (in hours) can you have in D without delaying the project? 2 (1) (a) What is the minimum project duration (in weeks)? (1) You will want to fill in the table below to show clearly the sequence of activities to crash to reduce the duration of the project by a total of four weeks, one week at a time, always at the minimum direct cost. That will help you to answer the questions that follow. Question 2. (8 points) Consider the following project where all times are in weeks. Path Time (weeks) Normal After you crash these activities Normal Crash Activity Predecessors Time Time Normal Cost $ (000) Crash Cost $ (000) Weekly Crash Cost $ (000) A 3 1 46 68 11 Path B A 4 2 48 60 6 C A 3 1 12 20 4 D B, C 1 1 24 24 E D 3 3 18 18 F B, C 4 1 19 25 2 G E. F 1 1 10 10 The costs above are direct costs, i.e. each cost is associated with an individual activity. Normal Cost corresponds to Normal Time. Crash Time is the minimum time an activity will require. Crash Cost corresponds to Crash Time. 3 Project Duration (weeks) Incremental Direct Cost ($000) 4