MGT311- Define makespan, Draw Gantt chart, Calculate the machine utilization.

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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
  • 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?

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