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A company is producing a batch of five components, A, O, E, N and L using three machines X, W, M. All these parts are to be produced in the technological order X, M, W machines. The sum of the processing and set-up times, in minutes for these parts in eachd of these machines are given below:

Component

Time of machines, minutes

X

W

M

N

8

5

3

A

4

6

4

O

7

7

3

L

5

8

4

E

6

4

4

  1. Find the sequence in which parts are to be produced to minimize total make span.      10
  2. Are there alternative sequences?                                                                                   4
  3. Represent your schedule in the form of a Gantt chart with starting and ending timings. Neglect machine to machine shifting time.           10
  4. What are the machine utilisation percentages for each machine if no other job is taken till the completion of this batch.    8

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