OCR MEI D1 2015 June — Question 5

Exam BoardOCR MEI
ModuleD1 (Decision Mathematics 1)
Year2015
SessionJune
TopicCritical Path Analysis

5 The table lists activities which are involved in framing a picture. The table also lists their durations and their immediate predecessors. Except for activities C and H, each activity is undertaken by one person. Activities C and H require no people.
ActivityDuration (mins)Immediate predecessor(s)
Aselect mounting5-
Bglue picture to mounting5A
Callow mounting glue to dry20B
Dmeasure for frame5A
Eselect type of frame10A
Fcut four frame pieces5D, E
Gpin and glue frame pieces together5F
Hallow frame glue to dry20G
Icut and bevel glass30D
Jfit glass to frame5H, I
Kfit mounted picture to frame5C, J
  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. A picture is to be framed as quickly as possible. Two people are available to do the job.
  3. Produce a schedule to show how two people can complete the picture framing in the minimum time. To reduce the completion time an instant glue is to be used. This will reduce the time for activities C and H to 0 minutes.
  4. Produce a schedule for two people to complete the framing in the new minimum completion time, and give that time.