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Question 1:

Sequence the jobs shown below by using a Gantt chart. Assume that the move time between machines is one hour. Sequence the jobs in priority order 1, 2, 3, 4.

Job Work Center/Machine HoursDue Date (days)
1 A/3, B/2, C/2 3
2 C/2, A/4 2
3 B/6, A/1, C/3 4
4 C/4, A/1, B/2 3
  • Using finite capacity scheduling, draw a Gantt chart for the schedule (Marks 0.5)
  • What is the makespan?
  • How much machine idle time is there?
  • How much idle time (waiting time) is there for each job?
  • When is each job delivered?
  • Which department is the bottleneck?
  • Calculate the machine utilization?

Question 2:

A public accounting firm requires the following activities

for an audit:

Activity Immediate Predecessor Activity time
A 3
B A 2
C 5
D B, C 2
E A 4
F B, C 6
G E, D 5
  • Draw a network for this project?
  • Make a forward pass and a backward pass to determine ES, LS, EF, and LF?
  • What are the critical path?

** A clearer version of the table with attachments