Operations Research

121. The transportation problem is balanced, if ______________.

  • total demand and total supply are equal and the number of sources equals the number of destinations.
  • none of the routes is prohibited
  • total demand equals total supply irrespective of the number of sources and destinations
  • number of sources matches with number of destinations

122. In an assignment problem involving 5 workers and 5 jobs, total number of assignments possible are ______________.

123. All of the following are assumptions of the EOQ model except ______________

  • the usage rate is reasonably constant
  • replenishment is not instantaneous
  • only one product is involved
  • there are no quantity discount price

124. Average number of trains spent in the yard is denoted by ______________.

125. Graphical method of linear programming is useful when the number of decision variable are ______________

126. The cost of a surplus variable is ______________.

127. The dual of the dual is ______________.

  • dual-primal
  • primal-dual

128. Solution of a Linear Programming Problem when permitted to be infinitely large is called ______________.

  • optimum solution
  • no solution

129. When the total demand is not equal to supply then it is said to be ______________.

  • maximization
  • minimization

130. All equality constraints can be replaced equivalently by ______________ inequalities

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UNBOUNDED SOLUTION

An unbounded solution of a linear programming problem is a situation where objective function is infinite. A linear programming problem is said to have unbounded solution if its solution can be made infinitely large without violating any of its constraints in the problem. Since there is no real applied problem which has infinite return, hence an unbounded solution always represents a problem that has been incorrectly formulated. Under the Simplex Method, an unbounded solution is indicated when there are no positive values of Replacement Ratio i.e. Replacement ratio values are either infinite or negative. In this case there is no outgoing variable.

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solution of linear programming problem when permitted to be infinitely large is called

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If in a LPP the solution of a variable can be...

Examveda

If in a LPP , the solution of a variable can be made infinity large without violating the constraints, the solution is _____________.

A. Infeasible

B. Unbounded

C. Alternative

D. None of the above

Answer: Option B

Solution(By Examveda Team)

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Related Questions on Operations Research

The use of decision models.

A. Is possible when the variables value is known

B. Reduces the scope of judgement & intuition known with certainty in decision-making

C. Require the use of computer software

Every mathematical model.

A. Must be deterministic

B. Requires computer aid for its solution

C. Represents data in numerical form

D. All of the above

A physical model is example of.

A. An iconic model

B. An analogue model

C. A verbal model

D. A mathematical model

The qualitative approach to decision analysis relies on.

A. Experience

B. Judgement

C. Intuition

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solution of linear programming problem when permitted to be infinitely large is called

Operations Research

Linear Programming is a mathematical technique used to solve problems of allocating limited resources among the competing activities.

Linear programming is probabilistic in nature.

For an LPP having " n " decision variables, there must be an equal number of constraints.

Variables can be unrestricted in the context of an LPP.

Graphical method of linear programming is not useful when there are only two decision variables.

Objective function specifies the dependent relationship between the decision variables and the objective function.

Optimum solution to an LPP always lies at least on the two vertices of the feasible region.

It is possible for the objective function value of an LPP to be the same at two distinct extreme points.

Solution of maximization LPP when permitted to be infinitely large is called unbounded.

An LPP is said to have feasible solution if it does not satisfy all the constraints of the problem.

An LPP, with all its constraints are of the type ≥, is said to be in standard form.

An LPP, with all its constraints are of the type ≤, is said to be in canonical form.

Exclusion of a redundant constraint does not affect the optimal solution to an LPP.

Slack variables are used to convert the inequalities of the type ≤ into equations.

In maximization LPP, there is no need to introduce artificial variables.

The co-efficients of slack/surplus variables into objective function are

Surplus variables are used to convert the inequalities of the type ≥ into equations.

For solving an LPP by Simplex Method, it is necessary that all unrestricted variables are first replaced by non-negative variables.

In Simplex method, once a variable leaves the basis, it can not reenter the same.

The coefficients of slack/surplus variables are always zero in the objective function.

In Simplex table, if all the elements in the key column are negative, then there is an unbounded solution.

For each of the basic variables in a given solution, whether optimum or not, (z j - c j ) equals zero.

To decide the departing variable in a simplex table giving a non-optimum solution, the least non-negative replacement ratio is selected.

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IMAGES

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  4. Operations Research Multiple choice Questions and Answers. Page

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  5. Unbounded Solution

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    An unbounded solution of a linear programming problem is a situation where objective function is infinite. A linear programming problem is said to have

  7. OR-BMS-MCQs.pdf

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  8. In a maximization problem, when one or more of the ...

    Under a maximization problem, an unbounded solution is referred to as a solution that can be formed infinitely large by not disobeying any of the

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    A project consists of a number of tasks which are called

  10. Computer Based Optimization Techniques

    Solution of a Linear Programming Problem when permitted to be infinitely large is called ______. [A] unbounded; [B] bounded; [C] optimum solution

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    Solution of a Linear Programming Problem when permitted to be infinitely large. is called +AF8AXwBfAF8AXwBfAF8AXwBf-. A. unbounded. B. bounded. C. optimum

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    Solution of a Linear Programming Problem when permitted to be infinitely large is called . A. unbounded B. bounded C. optimum solution D. no solution. View