Part 6. Question 10. [ Use Video-1 under Scheduling heading. ] An organization that continuously processes proposals...

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Part 6. Question 10. [ Use Video-1under Scheduling heading. ]
An organization that continuously processes proposals isaddressing a large backlog due to an historical FIFO sequencingrule. You have been asked to determine a schedule that minimizesthe processing time of project proposals through the editingdepartment and revision department. The editing departmentidentifies changes and the revision department incorporates thechanges and produces a final proposal document for release. Aproposal must pass through each department. Each department haspersonnel to service only one document at a time. The editing timeis dependent on the type of proposal and the revision time isdependent on the size of the proposal. The time estimates belowhave been provided to you for scheduling.
Question 10. What is the minimum processing time that can beachieved for the entire project?
(A) 1274 (B)667 (C) 633 (D) 637 (E) none ofthe above
Proposal #
Editing Time (minutes)
Revision Time (minutes)
1
45
40
2
30
27
3
30
39
4
22
19
5
22
28
6
33
43
7
49
43
8
31
41
9
26
31
10
14
18
11
38
34
12
16
12
13
19
25
14
31
29
15
37
45
16
46
41
17
40
36
18
28
36
19
16
20
20
48
46

Answer & Explanation Solved by verified expert

4.5 Ratings (974 Votes)

In order to solve the question, we have to apply the Johnson Rule to find the sequence of the job. In order to do so, we will find the least processing time job, if it belongs to Editing, then it will be placed on the left-hand side and if it belongs to revisions, then the job will be placed at the right-hand side.

So the sequence of the jobs will be as below=

The processing times of various jobs

	Editing		Revision
	In	Out	In	Out

10	0	14	14	32
19	14	30	32	52
13	30	49	52	77
5	49	71	77	105
9	71	97	105	136
18	97	125	136	172
3	125	155	172	211
8	155	186	211	252
6	186	219	252	295
15	219	256	295	340
20	256	304	340	386
7	304	353	386	429
16	353	399	429	470
1	399	444	470	510
17	444	484	510	546
11	484	522	546	580
14	522	553	580	609
2	553	583	609	636
4	583	605	636	655
12	605	621	655	667

So the minimum processing time that can be achieved for the entire project= 667

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Proposal #	Editing Time (minutes)	Revision Time (minutes)
1	45	40
2	30	27
3	30	39
4	22	19
5	22	28
6	33	43
7	49	43
8	31	41
9	26	31
10	14	18
11	38	34
12	16	12
13	19	25
14	31	29
15	37	45
16	46	41
17	40	36
18	28	36
19	16	20
20	48	46