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Answer the following question based on the information given below:

A low-cost airline company connects ten Indian cities, A to J. The table below gives the distance between a pair of airports and the corresponding price charged by the company. Travel is permitted only from a departure to an arrival airport. The customers do not travel by a route where they have to stop at more than two intermediate airports.

Sector No.

Airport of Departure

Airport of Arrival

Distance between the airports (km.)

Price (Rs.)

1

A

B

560

670

2

A

C

790

1350

3

A

850

1250

4

A

E

1245

1600

5

A

F

1345

1700

6

A

G

1350

2450

7

A

H

1950

1850

8

B

C

1650

2000

9

B

H

1750

1900

10

B

I

2100

2450

11

B

J

2300

2275

12

C

D

460

450

13

C

F

410

430

14

C

G

910

1100

15

D

E

540

590

16

D

F

625

700

17

D

G

640

750

18

D

H

950

1250

19

D

J

1650

2450

20

E

F

1250

1700

21

E

G

970

1150

22

E

H

850

875

23

F

G

900

1050

24

F

I

875

950

25

F

J

970

1150

26

G

I

510

550

27

G

J

830

890

28

H

I

790

970

29

H

J

400

425

30

I

J

460

540

If the prices include a margin of $15\%$ over the total cost that the company incurs, which among the following is the distance to be covered in flying from A to J that minimizes the total cost per kilometre for the company?

  1. $2170$
  2. $2180$
  3. $2315$
  4. $2350$
  5. $2390$
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