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A company has two factories S1, S2 and two warehouses D1, D2. The supplies from S1 and S2 are 50 and 40 units respectively. Warehouse D1 requires a minimum of 20 units and a maximum of 40 units. Warehouse D2 requires a minimum of 20 units and, over and above, it can take as much as can be supplied. A balanced transportation problem is to be formulated for the above situation. The number of supply points, the number of demand points, and the total supply (or total demand) in the balanced transportation problem respectively are
[2005]
  • a)
    2, 4, 90
  • b)
    2, 4, 110
  • c)
    3, 4, 90
  • d)
    3, 4,110
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A company has two factories S1, S2 and two warehouses D1, D2. The supp...
Total no of supply point 
⇒ m + n – 1
⇒ 2 + 2 – 1
⇒ 3
Total no of Demand point = 4
(x11, x12, x21, x22)
Total supply = Total Demand Þ 90 units
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Most Upvoted Answer
A company has two factories S1, S2 and two warehouses D1, D2. The supp...
Formulating a Balanced Transportation Problem

Given data:
- Two factories: S1 and S2
- Two warehouses: D1 and D2
- Supplies from S1 and S2: 50 and 40 units respectively
- Warehouse D1 requires a minimum of 20 units and a maximum of 40 units
- Warehouse D2 requires a minimum of 20 units and can take as much as can be supplied

To formulate a balanced transportation problem, we need to identify the number of supply points, the number of demand points, and the total supply (or total demand).

Number of Supply Points:
- There are two factories: S1 and S2
- Therefore, the number of supply points is 2

Number of Demand Points:
- There are two warehouses: D1 and D2
- Therefore, the number of demand points is 2

Total Supply:
- The supplies from S1 and S2 are 50 and 40 units respectively
- Therefore, the total supply is 50 + 40 = 90 units

Total Demand:
- Warehouse D1 requires a minimum of 20 units and a maximum of 40 units
- Therefore, the total demand for D1 is between 20 and 40 units
- Warehouse D2 requires a minimum of 20 units and can take as much as can be supplied
- Therefore, the total demand for D2 is at least 20 units, but there is no maximum limit
- Therefore, the total demand is between 20 and infinity

Based on the above calculations, we can conclude that the number of supply points is 2, the number of demand points is 4, and the total supply (or total demand) in the balanced transportation problem is 90. Therefore, the correct answer is option C.
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A company has two factories S1, S2 and two warehouses D1, D2. The supplies from S1 and S2 are 50 and 40 units respectively. Warehouse D1 requires a minimum of 20 units and a maximum of 40 units. Warehouse D2 requires a minimum of 20 units and, over and above, it can take as much as can be supplied. A balanced transportation problem is to be formulated for the above situation. The number of supply points, the number of demand points, and the total supply (or total demand) in the balanced transportation problem respectively are[2005]a)2, 4, 90b)2, 4, 110c)3, 4, 90d)3, 4,110Correct answer is option 'C'. Can you explain this answer?
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A company has two factories S1, S2 and two warehouses D1, D2. The supplies from S1 and S2 are 50 and 40 units respectively. Warehouse D1 requires a minimum of 20 units and a maximum of 40 units. Warehouse D2 requires a minimum of 20 units and, over and above, it can take as much as can be supplied. A balanced transportation problem is to be formulated for the above situation. The number of supply points, the number of demand points, and the total supply (or total demand) in the balanced transportation problem respectively are[2005]a)2, 4, 90b)2, 4, 110c)3, 4, 90d)3, 4,110Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A company has two factories S1, S2 and two warehouses D1, D2. The supplies from S1 and S2 are 50 and 40 units respectively. Warehouse D1 requires a minimum of 20 units and a maximum of 40 units. Warehouse D2 requires a minimum of 20 units and, over and above, it can take as much as can be supplied. A balanced transportation problem is to be formulated for the above situation. The number of supply points, the number of demand points, and the total supply (or total demand) in the balanced transportation problem respectively are[2005]a)2, 4, 90b)2, 4, 110c)3, 4, 90d)3, 4,110Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A company has two factories S1, S2 and two warehouses D1, D2. The supplies from S1 and S2 are 50 and 40 units respectively. Warehouse D1 requires a minimum of 20 units and a maximum of 40 units. Warehouse D2 requires a minimum of 20 units and, over and above, it can take as much as can be supplied. A balanced transportation problem is to be formulated for the above situation. The number of supply points, the number of demand points, and the total supply (or total demand) in the balanced transportation problem respectively are[2005]a)2, 4, 90b)2, 4, 110c)3, 4, 90d)3, 4,110Correct answer is option 'C'. Can you explain this answer?.
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