1. Students must complete two activities to register for class: registration and payment of fees. Because of individual differences, the processing time (in minutes) for each of these two activities for five students varies, as shown below:

   	Minutes
   Student	Registration	Pay Fees
   A	12	5
   B	7	2
   C	5	9
   D	3	8
   E	4	6

   1. Construct a Gantt chart to determine the total time required to process all five students. Use the following sequence of students: D, E, B, C, A.

   2. Can you construct a better sequence to reduce the total time required?

   3. What problems might be encountered in using this approach to registration in colleges?

2. Six jobs must be processed through machine A and then machine B as shown below. The processing time for each job is also shown.

   	Machine (minutes)
   Job	A	B
   1	10	6
   2	6	12
   3	7	7
   4	8	4
   5	3	9
   6	6	8

   1. Develop a Gantt chart to determine the total time required to process all six jobs. Use the following sequence of jobs: 1, 2, 3, 4, 5, 6.

   2. Can you develop a better sequence to reduce the total time required for processing?

3. 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.

   JobWork Center/Machine Hours		Due 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

   1. What is the makespan?

   2. How much machine idle time is there?

   3. When is each job delivered compared with its due date?

   4. How much idle time (waiting time) is there for each job?

   5. Devise a better job sequence for processing.