OCR MEI D1 2014 June — Question 4

Exam BoardOCR MEI
ModuleD1 (Decision Mathematics 1)
Year2014
SessionJune
TopicCritical Path Analysis

4 The table lists tasks which are involved in adding a back door to a garage. The table also lists the duration and immediate predecessor(s) for each task. Each task is undertaken by one person.
TaskDuration (hours)Immediate predecessor(s)
Ameasure0.5-
Bmanufacture frame and door5A
Ccut hole in wall2A
Dfit lintel and marble step1.5C
Efit frame1B, C
Ffit door1E
Grepair plaster around door1E
  1. Draw an activity on arc network for these activities.
  2. Mark on your diagram the early time and the late time for each event. Give the minimum completion time and the critical activities.
  3. Produce a schedule to show how two people can complete the project in the minimum time. Soon after starting activity D , the marble step breaks. Getting a replacement step adds 4 hours to the duration of activity D.
  4. How does this delay affect the minimum completion time, the critical activities and the minimum time needed for two people to complete the project? \section*{Question 5 begins on page 6}