Topic An introduction to Management Science Consider a TSP case with 9 cities to be visited (starting from D and returning to D) Using the distance matrix is provided below, use the nearest neighborhood heuristic to find the minimum distance route Distances D 1 2 3 4 5 6 7 8 D 0 61 42 22 50 45 32 57 30 1 61 0 21 62 80 91 32 76 82 2 42 21 0 41 61 71 20 71 67 3 22 62 41 0 28 30 41 78 51 4 50 80 61 28 0 22 67 106 76 5 45 91 71 30 22 0 71 100 64 6 32 32 20 41 67 71 0 51 50 7 57 76 71 78 106 100 51 0 41 8 30 82 67 51 76 64 50 41 0 Group of answer choices a D 3 4 5 8 7 6 1 2 D (D 3 4 2 1 6 8 7 5 D also accepted) b D 1 2 3 4 5 6 7 8 D c D 5 3 6 4 2 1 7 8 D d D 2 7 4 8 5 1 2 D

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Question: Topic: An introduction to Management Science Consider a TSP case with 9 cities to be visited (starting from D and returning to D). Using the

Topic: An introduction to Management Science

Consider a TSP case with 9 cities to be visited (starting from D and returning to D). Using the distance matrix is provided below, use the nearest neighborhood heuristic to find the minimum distance route.

Distances

	D	1	2	3	4	5	6	7	8
D	0	61	42	22	50	45	32	57	30
1	61	0	21	62	80	91	32	76	82
2	42	21	0	41	61	71	20	71	67
3	22	62	41	0	28	30	41	78	51
4	50	80	61	28	0	22	67	106	76
5	45	91	71	30	22	0	71	100	64
6	32	32	20	41	67	71	0	51	50
7	57	76	71	78	106	100	51	0	41
8	30	82	67	51	76	64	50	41	0

Group of answer choices

a. D-3-4-5-8-7-6-1-2-D (D-3-4-2-1-6-8-7-5-D also accepted)

b. D-1-2-3-4-5-6-7-8-D

c. D-5-3-6-4-2-1-7-8-D

d. D-2-7-4-8-5-1-2-D

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	D	1	2	3	4	5	6	7	8
D	0	61	42	22	50	45	32	57	30
1	61	0	21	62	80	91	32	76	82
2	42	21	0	41	61	71	20	71	67
3	22	62	41	0	28	30	41	78	51
4	50	80	61	28	0	22	67	106	76
5	45	91	71	30	22	0	71	100	64
6	32	32	20	41	67	71	0	51	50
7	57	76	71	78	106	100	51	0	41
8	30	82	67	51	76	64	50	41	0

	D	1	2	3	4	5	6	7	8
D	0	61	42	22	50	45	32	57	30
1	61	0	21	62	80	91	32	76	82
2	42	21	0	41	61	71	20	71	67
3	22	62	41	0	28	30	41	78	51
4	50	80	61	28	0	22	67	106	76
5	45	91	71	30	22	0	71	100	64
6	32	32	20	41	67	71	0	51	50
7	57	76	71	78	106	100	51	0	41
8	30	82	67	51	76	64	50	41	0

	D	1	2	3	4	5	6	7	8
D	0	61	42	22	50	45	32	57	30
1	61	0	21	62	80	91	32	76	82
2	42	21	0	41	61	71	20	71	67
3	22	62	41	0	28	30	41	78	51
4	50	80	61	28	0	22	67	106	76
5	45	91	71	30	22	0	71	100	64
6	32	32	20	41	67	71	0	51	50
7	57	76	71	78	106	100	51	0	41
8	30	82	67	51	76	64	50	41	0