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 : 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 : 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 : 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
Last Answer : a. Feasible region
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 : A set of values X1,X2……..Xn which satisfies the constraints of the LPP is called_______ a. Solution b. Variable c. Linearity d. None of the above
Last Answer : a. Solution
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
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 : 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 : . In simplex algorithm, which method is used to deal with the situation where an infeasible starting basic solution is given? a. Slack variable b. Simplex method c. Big M Method d. None of the above
Last Answer : b. Simplex method
Description : All the constraints are expressed as equations and the right hand side of each constraint and all variables are non-negative is called_______ a. Canonical variable b. Canonical form c. Canonical solution d. Both a & b
Last Answer : b. Canonical form
Description : _____ is another method to solve a given LPP involving some artificial variable? a. Big M method b. Method of penalties c. Two-phase simplex method d. None of the above
Last Answer : a. Big M method
Description : 63. Graphic method can be applied to solve a LPP when there are only ____ variable a. Four b. More than one c. Two d. three
Last Answer : Which oil is used in the floatation method for the purification of ores?
Description : If the feasible region of a linear programming problem is empty, the solution is .................... a. Unbounded b. Infeasible c. Infeasible d. Alternative
Last Answer : b. Infeasible
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 : 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 : 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 : 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 : 54. A constraint in an LP model becomes redundant because a. Two iso-profits may be parallel to each other b. The solution is unbounded c. This constraint is not satisfied by the solution values d. None of the above
Description : BFS in LPP stands for: a. Best Feasible solution b. Better feasible solution c. Basic feasible solution d. None of the above
Last Answer : c. Basic feasible solution
Description : 65. Any feasible solution which optimizes (minimizes or maximizes) the objective function of the LPP is called as _______ a. Optimal solution b. Non-basic variables c. Solution d. Basic Feasible solution
Last Answer : a. Optimal solution
Description : 59. Alternative solutions exist of an LP model when a. One of the constraints is redundant b. Objective function equation is parallel to one of the constraints c. Two constraints are parallel d. All of the above
Last Answer : b. Objective function equation is parallel to one of the constraints
Description : 49. A feasible solution to an LP problem a. Must satisfy all of the problem’s constraints simultaneously b. Need not satisfy all of the constraints, only some of them c. Must be a corner point of the feasible solution d. Must optimize the value of the objective function
Last Answer : a. Must satisfy all of the problem’s constraints simultaneously
Description : When a particular assignment in the given problem is not possible or restricted as a condition, it is called a __ problem a. Infeasible b. Degenerate c. Unbalanced d. Prohibited
Last Answer : d. Prohibited
Description : Every LPP is associated with another LPP is called_____ a. Primal b. Dual c. Non-linear programming d. None of the above
Last Answer : b. Dual
Description : ________ which is a subclass of a linear programming problem(LPP) a. Programming problem b. Transportation problem c. Computer problem d. All of the above
Last Answer : b. Transportation problem
Description : Currently, LPP is used in solving a wide range of practical ___________ a. Business problems b. Agricultural problems c. Manufacturing problems d. None of the above
Last Answer : a. Business problems
Description : LPP is exactly used in solving what kind of resource allocation problems? a. Production planning and scheduling b. Transportation c. Sales and advertising d. All of the above
Last Answer : d. All of the above
Description : How many methods are there to solve LPP? a. Three b. Two c. Four d. None of the above
Last Answer : b. Two
Description : 66. Which method is an iterative procedure for solving LPP in a finite number of steps? a. Simplex algorithm b. Slack variable c. Big M method d. Simplex method
Last Answer : d. Simplex method
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 : 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 : 35. Which of the following is not a characteristic of the L P model a. Alternative courses of actions b. An objective function of maximization type c. Limited amount of resources d. Non-negativity condition on the value of decision variable
Last Answer : b. An objective function of maximization type
Description : A basic solution which also satisfies the condition in which all basic variables are non-negative is called ___ a. Basic feasible solution b. Feasible solution c. Optimal solution d. None of the above
Last Answer : a. Basic feasible solution
Description : At any iteration of simplex method, if Δj (Zj – Cj) corresponding to any nonbasic variable Xj is obtained as zero, the solution under the test is (A) Degenerate solution (B) Unbounded solution (C) Alternative solution (D) Optimal solution
Last Answer : (C) Alternative solution
Description : 56. Constraints in LP problem are called active if they a. Represent optimal solutions b. At optimality do not consume all the available resources c. Both a & b d. None of the above
Last Answer : a. Represent optimal solutions
Description : 53. While plotting constraints on a graph paper, terminal points on both the axes are connected by straight line because a. The resources are limited in supply b. The objective function as a linear function c. The constraints are linear equations or inequalities d. All of the above
Last Answer : c. The constraints are linear equations or inequalities
Description : 42. _____ assumption means the prior knowledge of all the coefficients in the objective function , the coefficients of the constraints and the resource values a. Proportionality b. Certainty c. Finite choices d. Continuity
Last Answer : b. Certainty
Description : 31. Constraints in an LP model represents a. Limitations b. Requirements c. Balancing limitations & requirements d. All of the above
Description : 30. The distinguishing feature of an LP model is a. Relationship among all variables is linear b. It has single objective function & constraints c. Value of decision variables is non-negative d. All of the above
Last Answer : a. Relationship among all variables is linear
Description : _____ refers to the combination of one or more inputs to produce a particular output a. Solution b. Variable c. Process d. None of the above
Last Answer : c. Process
Description : A LPP model doesnot contain: a. Decision b. Constraints c. Feasible solution d. Spread Sheet
Last Answer : d. Spread Sheet
Description : Constraints in an LPP are treated as active, if they: a. Do not consume all the available resources at optimality b. Represent optimal solution c. Both a and b d. None of these
Last Answer : b. Represent optimal solution
Description : ___ is one of the fundamental combinatorial optimization problems a. Assignment problem b. Transportation problem c. Optimization problem d. None of the above
Last Answer : a. Assignment problem
Description : . Dual of the dual is _______ a. Primal b. Dual c. Alternative d. None of the above
Last Answer : a. Primal
Description : An assignment problem is a special case of transportation problem, where a. Number of rows equals number of columns b. All rim conditions are 1 c. Values of each decision variable is either 0 or 1
Last Answer : D.variable is either 0 or 1
Description : In simplex method, if there is tie between a decision variable and a slack (or surplus) variable, ______ should be selected a. Slack variable b. Surplus variable c. Decision variable d. None of the above
Last Answer : c. Decision variable
Description : In simplex method, we add _______ variables in the case of “=” a. Slack variable b. Surplus variable c. Artificial variable d. None of the above
Last Answer : c. Artificial variable
Description : Which variables are fictitious and cannot have any physical meaning? a. Optimal variable b. Decision variable c. Artificial variable d. None of the above
Description : 60. While solving a LP problem, infeasibility may be removed by a. Adding another constraint b. Adding another variable c. Removing a constraint d. Removing a variable
Last Answer : c. Removing a constraint