An unmanned rover must be routed to visit four sites labeled A, B, C, and D on the

Chapter 6, Problem 32

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QUESTION:

An unmanned rover must be routed to visit four sites labeled A, B, C, and D on the surface of the moon. Table 7 shows the distance (in kilometers) between any two sites. Assuming the rover landed at C, find an optimal tour.

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QUESTION:

An unmanned rover must be routed to visit four sites labeled A, B, C, and D on the surface of the moon. Table 7 shows the distance (in kilometers) between any two sites. Assuming the rover landed at C, find an optimal tour.

ANSWER:

Step 1 of 2

From the given table,

A

B

C

D

A

-

4

18

16

B

4

-

17

13

C

18

17

-

7

D

16

13

7

-

First subtract the lowest element from each row we get,

A

B

C

D

A

-

0

14

12

B

0

-

13

9

C

11

10

-

0

D

7

6

0

-

Hence, the zeros of the matrix or the rank of the matrix is 4.

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