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Tamil Nadu Board of Secondary EducationHSC Commerce कक्षा १२

HSC Commerce कक्षा १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

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Business Mathematics and Statistics
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Write mathematical form of transportation problem

[10] Operations Research
Chapter: [10] Operations Research
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What is feasible solution and non degenerate solution in transportation problem?

[10] Operations Research
Chapter: [10] Operations Research
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What do you mean by balanced transportation problem?

[10] Operations Research
Chapter: [10] Operations Research
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Find an initial basic feasible solution of the following problem using the northwest corner rule.

  D1 D2 D3 D4 Supply
O1 5 3 6 2 19
O2 4 7 9 1 37
O3 3 4 7 5 34
Demand 16 18 31 25  
[10] Operations Research
Chapter: [10] Operations Research
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Determine an initial basic feasible solution of the following transportation problem by north west corner method.

  Bangalore Nasik Bhopal Delhi Capacity
Chennai 6 8 8 5 30
Madurai 5 11 9 7 40
Trickly 8 9 7 13 50
Demand
(Units/day)
35 28 32 25  
[10] Operations Research
Chapter: [10] Operations Research
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Obtain an initial basic feasible solution to the following transportation problem by using least-cost method.

  D1 D2 D3 Supply
O1 9 8 5 25
O2 6 8 4 35
O3 7 6 9 40
Demand 30 25 45  
[10] Operations Research
Chapter: [10] Operations Research
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Explain Vogel’s approximation method by obtaining initial feasible solution of the following transportation problem.

  D1 D2 D3 D4 Supply
O1 2 3 11 7 6
O2 1 0 6 1 1
O3 5 8 15 9 10
Demand 7 5 3 2  
[10] Operations Research
Chapter: [10] Operations Research
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Consider the following transportation problem.

  D1 D2 D3 D4 Availability
O1 5 8 3 6 30
O2 4 5 7 4 50
O3 6 2 4 6 20
Requirement 30 40 20 10  

Determine initial basic feasible solution by VAM.

[10] Operations Research
Chapter: [10] Operations Research
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Determine basic feasible solution to the following transportation problem using North west Corner rule.

    Sinks  
    A B C D E Supply
  P 2 11 10 3 7 4
Origins Q 1 4 7 2 1 8
  R 3 9 4 8 12 9
Demand   3 3 4 5 6  
[10] Operations Research
Chapter: [10] Operations Research
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Find the initial basic feasible solution of the following transportation problem:

  I II III Demand
A 1 2 6 7
B 0 4 2 12
C 3 1 5 11
Supply 10 10 10  

Using North West Corner rule

[10] Operations Research
Chapter: [10] Operations Research
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Find the initial basic feasible solution of the following transportation problem:

  I II III Demand
A 1 2 6 7
B 0 4 2 12
C 3 1 5 11
Supply 10 10 10  

Using Least Cost method

[10] Operations Research
Chapter: [10] Operations Research
Concept: undefined >> undefined

Find the initial basic feasible solution of the following transportation problem:

  I II III Demand
A 1 2 6 7
B 0 4 2 12
C 3 1 5 11
Supply 10 10 10  

Using Vogel’s approximation method

[10] Operations Research
Chapter: [10] Operations Research
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Obtain an initial basic feasible solution to the following transportation problem by north west corner method.

  D E F C Available
A 11 13 17 14 250
B 16 18 14 10 300
C 21 24 13 10 400
Required 200 225 275 250  
[10] Operations Research
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Choose the correct alternative:

The transportation problem is said to be unbalanced if ______

[10] Operations Research
Chapter: [10] Operations Research
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Choose the correct alternative:

In a non – degenerate solution number of allocation is

[10] Operations Research
Chapter: [10] Operations Research
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Choose the correct alternative:

In a degenerate solution number of allocations is

[10] Operations Research
Chapter: [10] Operations Research
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Choose the correct alternative:

The Penalty in VAM represents difference between the first ______

[10] Operations Research
Chapter: [10] Operations Research
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Choose the correct alternative:

Solution for transportation problem using ______ method is nearer to an optimal solution.

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Choose the correct alternative:

In an assignment problem the value of decision variable xij is ______

[10] Operations Research
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The following table summarizes the supply, demand and cost information for four factors S1, S2, S3, S4 Shipping goods to three warehouses D1, D2, D3.

  D1 D2 D3 Supply
S1 2 7 14 5
S2 3 3 1 8
S3 5 4 7 7
S4 1 6 2 14
Demand 7 9 18  

Find an initial solution by using north west corner rule. What is the total cost for this solution?

[10] Operations Research
Chapter: [10] Operations Research
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