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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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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
Concept: undefined >> undefined

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

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Choose the correct alternative:

The transportation problem is said to be unbalanced if ______

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

Choose the correct alternative:

In a non – degenerate solution number of allocation is

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

Choose the correct alternative:

In a degenerate solution number of allocations is

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

Choose the correct alternative:

The Penalty in VAM represents difference between the first ______

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

Choose the correct alternative:

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

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

Choose the correct alternative:

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

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

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
Concept: undefined >> undefined

Consider the following transportation problem

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

Determine an initial basic feasible solution using Least cost method

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

Consider the following transportation problem

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

Determine an initial basic feasible solution using Vogel’s approximation method

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

Determine an initial basic feasible solution to the following transportation problem by using north west corner rule

    Destination Supply
    D1 D2 D3  
  S1 9 8 5 25
Source S2 6 8 4 35
  S3 7 6 9 40
  Requirement 30 25 45  
[10] Operations Research
Chapter: [10] Operations Research
Concept: undefined >> undefined

Determine an initial basic feasible solution to the following transportation problem by using least cost method

    Destination Supply
    D1 D2 D3  
  S1 9 8 5 25
Source S2 6 8 4 35
  S3 7 6 9 40
  Requirement 30 25 45  
[10] Operations Research
Chapter: [10] Operations Research
Concept: undefined >> undefined

Explain Vogel’s approximation method by obtaining initial basic feasible solution of the following transportation problem.

    Destination  
    D1 D2 D3 D4 Supply
  O1 2 3 11 7 6
Origin O2 1 0 6 1 1
  O3 5 8 15 9 10
  Demand 7 5 3 2  
[10] Operations Research
Chapter: [10] Operations Research
Concept: undefined >> undefined

Integrate the following with respect to x.

`sqrtx (x^3 - 2x + 3)`

[2] Integral Calculus – 1
Chapter: [2] Integral Calculus – 1
Concept: undefined >> undefined

Using second fundamental theorem, evaluate the following:

`int_0^1 "e"^(2x)  "d"x`

[2] Integral Calculus – 1
Chapter: [2] Integral Calculus – 1
Concept: undefined >> undefined

Using second fundamental theorem, evaluate the following:

`int_0^(1/4) sqrt(1 - 4)  "d"x`

[2] Integral Calculus – 1
Chapter: [2] Integral Calculus – 1
Concept: undefined >> undefined

Using second fundamental theorem, evaluate the following:

`int_1^2 (x "d"x)/(x^2 + 1)`

[2] Integral Calculus – 1
Chapter: [2] Integral Calculus – 1
Concept: undefined >> undefined

Using second fundamental theorem, evaluate the following:

`int_0^3 ("e"^x "d"x)/(1 + "e"^x)`

[2] Integral Calculus – 1
Chapter: [2] Integral Calculus – 1
Concept: undefined >> undefined

Using second fundamental theorem, evaluate the following:

`int_0^1 x"e"^(x^2)  "d"x`

[2] Integral Calculus – 1
Chapter: [2] Integral Calculus – 1
Concept: undefined >> undefined
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