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TN 12th Computer Applications மின்னணு தரவு பரிமாற்றம் Sample Question Papers Study Material - QB365 Set A

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TN 12th Computer Applications மின்னணு செலுத்தல் முறைகள் Sample Question Papers Study Material - QB365 Set A

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TN 12th Computer Applications மின் - வணிகம் Sample Question Papers Study Material - QB365 Set A

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TN 12th Computer Applications திறந்த மூல கருத்துருக்கள் Sample Question Papers Study Material - QB365 Set A

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TN 12th Computer Applications வலையமைப்பு வடமிடல் Sample Question Papers Study Material - QB365 Set A

12th Standard English Medium Business Maths Subject Operations Research Book Back 2 Mark Questions with Solution Part - II

Published on: 04/06/2021

QB365 provides detailed and simple solution for every Book back Questions in class 12 Business Maths Subject. It will helps to get more idea about question pattern in every book back questions with solution.

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Std: 12th Standard - Business Maths and Statistics

chapter: - Book back Questions

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Questions:

Generic 2

5 x 2 = 10

What is the difference between Assignment Problem and Transportation Problem?

Give mathematical form of assignment problem.

What do you mean by balanced transportation problem?

Write mathematical form of transportation problem.

What is transportation problem?

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Answers Key:

Generic 2

5 x 2 = 10

The assignment problem is a special case of transportation problem where the number of sources and destinations are equal. Here, jobs represent sources and machines represent destinations.

The mathematical form of assignment problem is minimize Z = \(\overset { n }{ \underset { i=1 }{ \Sigma } } \overset { n }{ \underset { j=1 }{ \Sigma } } { { C }_{ ij } }{ x }_{ ij }\) subject to the
Constraints \(\overset { n }{ \underset { i=1 }{ \Sigma } }{ x }_{ ij } = 1, j=1,2,.....n\)
\(\overset { n }{ \underset { j=1 }{ \Sigma } }{ x }_{ ij } = 1, i=1,2,.....n\) and x_ij = 0 or 1 for all i, j

If the total supply = total demand, then the given problem is a balanced transportation problem.

The objective function is minimize Z = \(\overset { m }{ \underset { i=1 }{ \Sigma } } \overset { n }{ \underset { j=1 }{ \Sigma } } { { C }_{ ij } }{ x }_{ ij }\) subject to the constraints
\(\overset { n }{ \underset { j=1 }{ \Sigma } }{ x }_{ ij } = a_i, i=1,2,.....m\) (Supply constraints)
\(\overset { m }{ \underset { i=1 }{ \Sigma } }{ x }_{ ij } = b_j, j=1,2,.....n\) (demand constraints)
x_ij≥, 0 for all i, j (non-negative restrictions)

A transportation problem is to determine the amount to be transported from each origin to each destinations such that the total transportation cost is minimized.