OCR Further Discrete AS 2023 June — Question 5

Exam BoardOCR
ModuleFurther Discrete AS (Further Discrete AS)
Year2023
SessionJune
TopicSequences and Series

5 Hiro has been asked to organise a quiz.
The table below shows the activities involved, together with the immediate predecessors and the duration of each activity in hours.
ActivityImmediate predecessorsDuration (hours)
AChoose the topics-0.5
BFind questions for round 1A2
CCheck answers for round 1B2.5
DFind questions for round 2A2
ECheck answers for round 2D2.5
FChoose pictures for picture roundA1
GGet permission to use picturesF1.5
HChoose music for music roundA2
IGet permission to use musicH1.5
JProduce answer sheetsG0.5
  1. A sketch of the activity network is provided in the Printed Answer Booklet. Apply a forward pass to determine the minimum project completion time.
  2. Use a backward pass to determine the critical activities. You can show your working on the activity network from part (a).
  3. Give the total float for each non-critical activity. Hiro decides that there should be a final check of the answers which he will include as activity \(L\). Activity L needs to be done after checking the answers for rounds 1 and 2 and also after getting permission to use the pictures and music but before producing the answer sheets.
    1. Complete the activity network provided in the Printed Answer Booklet to show the new precedences, with the final check of the answers included as activity \(L\).
    2. As a result of including L , the minimum project completion time found in part (a) increases by 2.5 hours. Determine the duration of L .