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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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Choose the correct alternative:

The additive model of the time series with the components T, S, C and I is

[9] Applied Statistics
Chapter: [9] Applied Statistics
Concept: undefined >> undefined

Choose the correct alternative:

Least square method of fitting a trend is

[9] Applied Statistics
Chapter: [9] Applied Statistics
Concept: undefined >> undefined

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Choose the correct alternative:

The value of ‘b’ in the trend line y = a + bx is

[9] Applied Statistics
Chapter: [9] Applied Statistics
Concept: undefined >> undefined

Choose the correct alternative:

The component of a time series attached to long term variation is trended as

[9] Applied Statistics
Chapter: [9] Applied Statistics
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Choose the correct alternative:

The seasonal variation means the variations occurring with in

[9] Applied Statistics
Chapter: [9] Applied Statistics
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Using three yearly moving averages, Determine the trend values from the following data.

Year Profit Year Profit
2001 142 2007 241
2002 148 2008 263
2003 154 2009 280
2004 146 2010 302
2005 157 2011 326
2006 202 2012 353
[9] Applied Statistics
Chapter: [9] Applied Statistics
Concept: undefined >> undefined

From the following data, calculate the trend values using fourly moving averages.

Year 1990 1991 1992 1993 1994 1995 1996 1997 1998
Sales 506 620 1036 673 588 696 1116 738 663
[9] Applied Statistics
Chapter: [9] Applied Statistics
Concept: undefined >> undefined

Fit a straight line trend by the method of least squares to the following data

Year 1980 1981 1982 1983 1984 1985 1986 1987
Sales 50.3 52.7 49.3 57.3 56.8 60.7 62.1 58.7
[9] Applied Statistics
Chapter: [9] Applied Statistics
Concept: undefined >> undefined

What is transportation problem?

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

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
Concept: undefined >> undefined

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
Concept: undefined >> undefined

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
Concept: undefined >> undefined

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
Concept: undefined >> undefined

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
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 North West Corner rule

[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 Least Cost method

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