Question 5 (10 marks)Activities A to P are part of the set-up of a music festival. The network diagram below shows theseactivities and their completion time in days.G2 J5M4N2E5H2B3A5D4C3F4P3L3K7startfinish(a) Which activity must be on the critical path?(1 mark)A forward and backward scan has been completed on the network diagram below.5 50 03 4 8 813 1317 1715 1722 2219 2124 24G2J5M4N2E5H2B3A5D4C3F4P3L3K717 17startfinish(b) State the critical path(s) for the set-up of the music festival.(2 marks)page 11 of 23 PLEASE TURN OVER(c) Calculate the amount of slack time available for activity L
Question
Question 5 (10 marks)Activities A to P are part of the set-up of a music festival. The network diagram below shows theseactivities and their completion time in days.G2 J5M4N2E5H2B3A5D4C3F4P3L3K7startfinish(a) Which activity must be on the critical path?(1 mark)A forward and backward scan has been completed on the network diagram below.5 50 03 4 8 813 1317 1715 1722 2219 2124 24G2J5M4N2E5H2B3A5D4C3F4P3L3K717 17startfinish(b) State the critical path(s) for the set-up of the music festival.(2 marks)page 11 of 23 PLEASE TURN OVER(c) Calculate the amount of slack time available for activity L
Solution
(a) The activity that must be on the critical path is the one with the longest duration and no slack time. From the given network diagram, it's not clear which activity this is, as the diagram is not provided.
(b) The critical path(s) for the set-up of the music festival is the sequence of activities from start to finish that takes the longest time to complete. This is determined by adding up the time durations of all activities along each path and identifying the path(s) with the longest total time. Again, without the network diagram, it's impossible to identify the critical path(s).
(c) The slack time for an activity is the total time that you can delay the activity without delaying the project. More slack time means that the project schedule is more flexible.
To calculate the slack time for activity L, you subtract the earliest start time for the activity from its latest start time, or subtract the earliest finish time from its latest finish time.
Slack time = Latest start time - Earliest start time or Slack time = Latest finish time - Earliest finish time
Without the specific times for activity L, it's impossible to calculate the slack time.
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