Question 1. (10 points) You have decided to take up music-video making in your spare time...

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Question 1. (10 points) You have decided to take up music-video making in your spare time and are about to shoot a scene. The activities involved, along with activity times and precedence requirements, are given below. You want to complete this project without delay. Description Set up & decorate the stage Check the script Apply makeup Predecessors Activity A Duration (Hours) 6 B 5 C 4 A 2 E Put on costumes 3 F Dress rehearsal A, B, E 3 G Check audio/video equipment H Shoot the scene F,G 2 2 Fix the stage lighting The network diagram for this project is shown below - make sure that you deem it correct. A,6 Start B,5 D,2 C.4 E,3 F,3 G,2 H,2 To reconcile any difference in notations between class slides and the text, please note the following: ES (Early Start) EST (Earliest Start Time); EF (Early Finish) = ECT (Earliest Completion Time); LS (Late Start) = LST (Latest Start Time); LF (Late Finish) = LCT (Latest Completion time) You will want to fill in the missing entries in the table below. That will help you answer the questions that follow. Path Path Time (hours) 1 Slack (hours) (a) How long (in hours) will it take to complete the project? (1) (b) List activities that are not critical. (1) (c) If activity B takes an extra hour to complete, what will be the project duration (in hours)? (1) (d) If both activities C and E take an extra hour to complete, what will be the project duration (in hours)? (1) (e) If both activities C and D take an extra hour to complete, what will be the project duration (in hours)? (1) Suppose that task A can be split into two tasks, "set up the stage" (task A1) and "decorate the stage" (task A2), each of which takes 3 hours. Also, the crew can fix the stage lighting (task D) while the stage is being decorated. However, the stage must be set up (task A1) before it is decorated (task A2), and before the stage lighting is fixed (task D). (Obviously, the Dress Rehearsal (task F) cannot begin until after A2 is completed.) The revised network diagram for the project is shown below. A1,3 D, 2 A2,3 Start F,3 B, 5 G,2 H, 2 C,4 E, 3 You will want to fill in the missing entries in the two tables that follow. That will help you answer the questions that follow. Path Path Time (hours) Slack (hours) 2 Activity EST (Earliest Start Time) ECT (Earliest Completion Time) LST LCT (Latest Start (Latest Completion Time) Slack Time) (f) What is the LCT (latest completion time) of G (in hours)? (1) (g) Can you delay D without impacting G? YES or NO? (1) (h) How much delay (in hours) can you have in A2 without delaying the project? (1) (i) How much delay (in hours) can you have in A2 without impacting F? (1) (j) If A1 takes 4 hours to complete, how much delay (in hours) can you have in D without delaying the project? Question 2. (8 points) Consider the following project where all times are in weeks. (1) Question 1. (10 points) You have decided to take up music-video making in your spare time and are about to shoot a scene. The activities involved, along with activity times and precedence requirements, are given below. You want to complete this project without delay. Description Set up & decorate the stage Check the script Apply makeup Predecessors Activity A Duration (Hours) 6 B 5 C 4 A 2 E Put on costumes 3 F Dress rehearsal A, B, E 3 G Check audio/video equipment H Shoot the scene F,G 2 2 Fix the stage lighting The network diagram for this project is shown below - make sure that you deem it correct. A,6 Start B,5 D,2 C.4 E,3 F,3 G,2 H,2 To reconcile any difference in notations between class slides and the text, please note the following: ES (Early Start) EST (Earliest Start Time); EF (Early Finish) = ECT (Earliest Completion Time); LS (Late Start) = LST (Latest Start Time); LF (Late Finish) = LCT (Latest Completion time) You will want to fill in the missing entries in the table below. That will help you answer the questions that follow. Path Path Time (hours) 1 Slack (hours) (a) How long (in hours) will it take to complete the project? (1) (b) List activities that are not critical. (1) (c) If activity B takes an extra hour to complete, what will be the project duration (in hours)? (1) (d) If both activities C and E take an extra hour to complete, what will be the project duration (in hours)? (1) (e) If both activities C and D take an extra hour to complete, what will be the project duration (in hours)? (1) Suppose that task A can be split into two tasks, "set up the stage" (task A1) and "decorate the stage" (task A2), each of which takes 3 hours. Also, the crew can fix the stage lighting (task D) while the stage is being decorated. However, the stage must be set up (task A1) before it is decorated (task A2), and before the stage lighting is fixed (task D). (Obviously, the Dress Rehearsal (task F) cannot begin until after A2 is completed.) The revised network diagram for the project is shown below. A1,3 D, 2 A2,3 Start F,3 B, 5 G,2 H, 2 C,4 E, 3 You will want to fill in the missing entries in the two tables that follow. That will help you answer the questions that follow. Path Path Time (hours) Slack (hours) 2 Activity EST (Earliest Start Time) ECT (Earliest Completion Time) LST LCT (Latest Start (Latest Completion Time) Slack Time) (f) What is the LCT (latest completion time) of G (in hours)? (1) (g) Can you delay D without impacting G? YES or NO? (1) (h) How much delay (in hours) can you have in A2 without delaying the project? (1) (i) How much delay (in hours) can you have in A2 without impacting F? (1) (j) If A1 takes 4 hours to complete, how much delay (in hours) can you have in D without delaying the project? Question 2. (8 points) Consider the following project where all times are in weeks. (1)