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Previous Year Paper

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CAT-2002-Previous Years Paper

Question
37 out of 50
 

There are 6 refineries, 7 depots and 9 districts. The refineries are BB, BC, BD, BE, BF and BG. The depots are AA, AB, AC, AD, AE, AF and AG. The districts are AAA, AAB, AAC, AAD, AAE, AAF, AAG, AAH and AAI. Table 1 gives the cost of transporting one unit from refinery to depot. Table 2 gives the cost of transporting one unit from depot to a district.

 

Table 1

 

BB

BC

BD

BE

BF

BG

AA

928.2

537.2

567.8

589.9

589.9

800.1

AB

311.1

596.7

885.7

759.9

759.9

793.9

AC

451.1

0

320.1

780.1

720.7

1000.1

AD

371.1

150.1

350.1

750.1

650.4

980.1

AE

1137.3

314.5

0

1157.7

1157.7

1023.4

AF

617.1

516.8

756.5

1065.9

1065.9

406.3

AG

644.3

299.2

537.2

1093.1

1093.1

623.9

 

Table 2

 

AA

AB

AC

AD

AE

AF

AG

AAA

562.7

843.2

314.5

889.1

0

754.8

537.2

AAB

532.7

803.2

284.5

790.5

95.2

659.6

442

AAC

500.7

780.2

0

457.3

205.7

549.1

331.5

AAD

232.9

362.1

286.2

275.4

523.6

525.3

673.2

AAE

345.1

268.6

316.2

163.2

555.9

413.1

227.8

AAF

450.1

644.3

346.2

372.3

933.3

402.9

379.1

AAG

654.5

0

596.7

222.7

885.7

387.6

348.5

AAH

804.1

149.6

627.2

360.4

1035.3

537.2

498.1

AAI

646

255

433.5

137.7

698.7

112.2

161.5


What is the least cost of sending one unit from any refinery to the district AAB?



A 0
B 284.5
C 95.2
D None of these

Ans. A

BD " AE " AAB = 95.2

The least cost to reach AAB is through AE. And that from BD to AE is 0.

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