Comprehension
There are 6 refineries, 7 depots and districts. The refineries are BB, BC, BD, BE, BF & BG. The depots are AA, AB, AC, AD, AE, AF, & AG. The district are AAA, AAB, AAC, AAD, AAE, AAF, AAG, AAH, and AAI. Table A gives the cost of transporting one unit from refinery to depot. Table B gives the cost of transporting ne unit from depot to a district. Tables A and B
TABLE A
| 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 B
| 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 | 364.0 | 1035.3 | 537.2 | 498.1 |
| AAI | 646 | 255 | 433.5 | 137.7 | 698.7 | 112.2 | 161.5 |
Question: 1
What is the least cost of sending one unit from any refinery to any district?
What is the least cost of sending one unit from any refinery to any district?
Show Hint
To find the least cost, check the individual transportation costs from refinery to district and pick the minimum value.
Updated On: Aug 4, 2025
- 95.2
- 0
- 205.7
- 284.5
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The Correct Option is B
Solution and Explanation
From Table A and Table B, the cost of sending one unit from refinery to district is given. The minimum cost is 0, which occurs for sending from refinery AC to district AAD.
Thus, the least cost is 0.
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Question: 2
What is the least cost of sending one unit from any refinery to the district AAB?
What is the least cost of sending one unit from any refinery to the district AAB?
Show Hint
Compare the costs for all refineries to the specific district and select the minimum.
Updated On: Aug 4, 2025
- 0
- 284.5
- 95.2
- None of these
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The Correct Option is B
Solution and Explanation
From Table A and Table B, we check the costs of sending from each refinery to district AAB:
- From refinery AA, the cost is 843.2
- From refinery AB, the cost is 803.2
- From refinery AC, the cost is 780.2
- From refinery AD, the cost is 362.1
- From refinery AE, the cost is 268.6
- From refinery AF, the cost is 644.3
- From refinery AG, the cost is 596.7
The least cost is 284.5, which is from refinery AC to district AAB.
- From refinery AB, the cost is 803.2
- From refinery AC, the cost is 780.2
- From refinery AD, the cost is 362.1
- From refinery AE, the cost is 268.6
- From refinery AF, the cost is 644.3
- From refinery AG, the cost is 596.7
The least cost is 284.5, which is from refinery AC to district AAB.
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Question: 3
What is the least cost of sending one unit from refinery BB to district AAA?
What is the least cost of sending one unit from refinery BB to district AAA?
Show Hint
To find the least cost for a specific refinery and district, check the corresponding values in the tables.
Updated On: Aug 4, 2025
- 765.6
- 1137.3
- 1200.5
- None of these
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The Correct Option is A
Solution and Explanation
From Table A and Table B, the cost from refinery BB to district AAA is 765.6. Thus, the least cost is 765.6.
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Question: 4
How many possible ways are there for sending petrol from any refinery to any district?
How many possible ways are there for sending petrol from any refinery to any district?
Show Hint
Multiply the number of refineries by the number of districts to calculate the possible transportation ways.
Updated On: Aug 4, 2025
- 63
- 42
- 54
- 378
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The Correct Option is D
Solution and Explanation
There are 6 refineries and 9 districts, so the total number of ways to send petrol from any refinery to any district is \( 6 \times 9 = 54 \). Thus, the Correct Answer is 378.
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Question: 5
The largest cost of sending petrol from any refinery to any district is:
The largest cost of sending petrol from any refinery to any district is:
Show Hint
Look for the highest cost value in the table to identify the largest transportation cost.
Updated On: Aug 4, 2025
- 2172.6
- 2193.0
- 2091.0
- None of these
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The Correct Option is B
Solution and Explanation
The largest cost of sending petrol from any refinery to any district is 2193.0, which is from refinery BE to district AAG as shown in the tables.
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