Description : When at least one of the basic variables is zero, then the basic feasible solution to a Linear Programming Problem is said to be .............................. a. Infeasible b. Unbounded c. Degenerate d. Non-degenerate
Last Answer : c. Degenerate
Description : 64. If the feasible region of a LPP is empty, the solution is _______ a. Infeasible b. Unbounded c. Alternative d. None of the above
Last Answer : a. Infeasible
Description : While solving a LPP graphically, the area bounded by constraints is called ................. a. Feasible region b. Infeasible region c. Unbounded region d. None of these
Last Answer : a. Feasible region
Description : A basic feasible solution of a linear programming problem is said to be ............... if at least one of the basic variable is zero. (A) degenerate (B) non-degenerate (C) infeasible (D) unbounded
Last Answer : (A) degenerate
Description : In an LPP, if the solution of a variable can be made infinitely large without violating the constraints, then the solution is .............................. a. Infeasible b. Alternative c. Unbounded d. Unique
Last Answer : c. Unbounded
Description : If there are more than one optimal solutions for the decision variables, the solution is ........... a. Infeasible b. Unbounded c. Alternative d. None of these
Last Answer : c. Alternative
Description : If the primal Linear Programming problem has unbounded solution, then it’s dual problem will have (A) feasible solution (B) alternative solution (C) no feasible solution at all (D) no bounded solution at all
Last Answer : (C) no feasible solution at all
Description : 58. While solving a LP model graphically, the area bounded by the constraints is called a. Feasible region b. Infeasible region c. Unbounded solution d. None of the above
Description : Operations Research techniques help to find ................... solution. a. Feasible solution b. Infeasible solution c. Optimal solution d. None of these
Last Answer : c. Optimal solution
Description : Given the following statements with respect to linear programming problem: S1: The dual of the dual linear programming problem is again the primal problem S2: If either the primal or the dual problem has an unbounded objective function ... S1 and S2 (B) S1 and S3 (B) S2 and S3 (D) S1, S2 and S2
Last Answer : (D) S1, S2 and S2
Description : 62. If one of the constraint of an equation in an LP problem has an unbounded solution, then a. Solution to such LP problem must be degenerate b. Feasible region should have a line segment c. Alternative solutions exists d. None of the above
Last Answer : b. Feasible region should have a line segment
Description : If in a LPP, the solution of a variable can be infinity large without violating the constraints, the solution is ___ a. Infeasible b. Unbounded c. Alternative d. None of the above
Last Answer : b. Unbounded
Description : 61. If a non-redundant constraint is removed from an LP problem then a. Feasible region will become larger b. Feasible region will become smaller c. Solution will become infeasible d. None of the above
Last Answer : a. Feasible region will become larger
Description : The region of feasible solution of a linear programming problem has a ............... property in geometry, provided the feasible solution of the problem exists. (A) concavity (B) convexity (C) quadratic (D) polyhedron
Last Answer : (B) convexity
Description : Which of the following is a characteristic of a dual problem: a. Dual of a dual is primal b. If dual has a finite optimal solution, then the primal also has finite optimal solution c. If dual has no feasible solution, then the primal also has no feasible solution d. All of the above
Last Answer : d. All of the above
Description : Initial feasible solution to a transportation problem arrived through which of the following method is very near to the optimal solution: a. NWCM b. LCM c. VAM d. None of these
Last Answer : c. VAM
Description : Initial feasible solution to a transportation Problem can be found out by ......................... a. VAM b. MODI Method c. Both a and b d. None of these
Last Answer : a. VAM
Description : The solution to a transportation problem with ‘m’ rows and ‘n’ columns is feasible if the number of positive allocations are: a. m + n b. m x n c. m +n – 1 d. m +n + 1
Last Answer : c. m +n – 1
Description : Which of the following is true with regard to a Linear Programming Model? a. No guarantee to get integer valued solution b. The relationship among decision variables is liner c. Both a and b d. None of the these
Last Answer : d. None of the these
Description : 55. If two constraints do not intersect in the positive quadrant of the graph, then a. The problem is infeasible b. The solution is unbounded c. One of the constraints is redundant d. None of the above
Last Answer : a. The problem is infeasible
Description : The following transportation problem: The above solution of a given transportation problem is (A) infeasible solution (B) optimum solution (C) non-optimum solution (D) unbounded solution
Last Answer : (B) optimum solution
Description : Every Linear Programming Problem is related to another Linear Programming Problem, called .......................... a. Primal b. Dual c. Non-linear Programming d. None of these
Last Answer : b. Dual
Description : In Linear Programming Problem, degeneracy occurs in ................. stages. a. One b. Two c. Three d. Four
Last Answer : b. Two
Description : The Hungarian method for solving an assignment problem can also be used to solve: a. A transportation problem b. A travelling salesman problem c. A linear programming problem d. Both a and b
Last Answer : b. A travelling salesman problem
Description : MODI Method to test the optimality of a feasible solution to TP is also called............... a. Stepping Stone Method b. u. v. Method c. both a and b d. none of these
Last Answer : b. u. v. Method
Description : Matrix Minima Method to find initial feasible solution to a TP is also called ....................... a. NWCM b. LCM c. VAM d. None of these
Description : A LPP model doesnot contain: a. Decision b. Constraints c. Feasible solution d. Spread Sheet
Last Answer : d. Spread Sheet
Description : An optimal solution is considered as the ................... among the feasible solutions. a. Worst b. Best c. Ineffective d. None of these
Last Answer : b. Best
Description : Consider the following transportation problem: The initial basic feasible solution of the above transportation problem using Vogel's Approximation Method(VAM) is given below: The solution of the ... degenerate solution (B) is optimum solution (C) needs to improve (D) is infeasible solution
Last Answer : (B) is optimum solution
Description : A basic feasible solution to a m-origin, n-destination transportation problem is said to be ................... if the number of positive allocations are less than m + n – 1. (A) degenerate (B) non-degenerate (C) unbounded (D) unbalanced
Description : 52. If an iso-profit yielding the optimal solution coincides with a constraint line, then a. The solution is unbounded b. The solution is infeasible c. The constraint which coincides is redundant d. None of the above
Last Answer : d. None of the above
Description : Which of the following method is used to solve mixed strategy problems: a. Probability method b. Graphic method c. Linear Programming method d. All of the above
Description : Straight lines shown in a linear programming graph indicates ........................... a. Objective function b. Constraints c. Points d. All of the above
Last Answer : b. Constraints
Description : Which of the followings is an assumption of Linear Programming Technique? a. Divisibility b. Additivity c. Proportionality d. All of the above
Description : Linear Programming Technique helps to find an optimal use of: a. Machine b. Money c. Manpower d. All of the above
Description : A constraint in a Linear Programming Model restricts: a. Value of objective function b. Value of decision variable c. Use of available resources d. All of the above
Description : Linear Programming technique is a: a. Constrained optimisation technique b. Technique for economic allocation of resources c. Mathematical technique d. All of the above
Description : ............................... is concerned with determination of the most economic replacement policy. a. Probabilistic programming b. Linear programming c. Search theory d. Replacement theory
Last Answer : d. Replacement theory
Description : .................... is considered as the pioneer of Linear Programming Technique. a. churchman b. D W Miller c. James Lundy d. George B Dantzig
Last Answer : d. George B Dantzig
Description : All the parameters in the linear programming model are assumed to be ..................... a. Variables b. Constraints c. Functions d. None of these
Description : ........................may be defined as a method of determining an optimal program of interdependent activities in view of available resources. a. Goal programming b. Linear programming c. Decision making d. None of these
Last Answer : b. Linear programming
Description : Graphic method can be applied to solve a liner programming problem when there are only ........................... variables a. A one b. Two c. Three d. More than three
Description : A BFS of a LPP is said to be ______ if at least one of the basic variable is zero a. Degenerate b. Non-degenerate c. Infeasible d. unbounded
Last Answer : a. Degenerate
Description : 57. The solution space(region) of an LP problem is unbounded due to a. An incorrect formulation of the LP model b. Objective function is unbounded c. Neither a nor b d. Both a & b
Last Answer : b. Objective function is unbounded c. Neither a nor b
Description : The allocated cells in the transportation table are called .............................. a. Occupied cells b. Empty cells c. Unoccupied cells d. None of these
Last Answer : a. Occupied cells
Description : For a minimisation Transportation Problem, the objective is to minimise: a. Profit b. Cost c. Solution d. None of these
Last Answer : b. Cost
Description : Operations Research does not give perfect solution to a problem, but it helps to improve the ......................... of the solution. a. Quality b. Clarity c. Look d. None of these
Last Answer : a. Quality
Description : The dummy source/destination in a transportation problem is added to ........................ a. Satisfy rim constraints b. Prevent solution from becoming degenerate c. Ensure total cost does not exceed a limit d. None of the above
Last Answer : a. Satisfy rim constraints
Description : ...................... is a method of analysing the current movement of the some variable in an effort to predict the future movement of the same variable. a. Goal programming b. Queuing theory c. Markov Analysis d. Replacement theory
Last Answer : c. Markov Analysis
Description : Dual of the dual s a .......................... a. Dual b. Primal c. Alternative d. None of these
Last Answer : b. Primal