50. Which of the following statements is true with respect to the optimal solution of an LP problem?
a. Every LP problem has an optimal solution
b. Optimal solution of an LP problem always occurs at an extreme point
c. At optimum solution all resources are completely used
d. If an optimal solution exists, there will always be at least one at a corner

1 Answer

Answer :

d. If an optimal solution exists, there will always be at least one at a corner

Related questions

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 : 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 : 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 : An optimal solution of an assignment problem can be obtained only if a. Each row & column has only one zero element b. Each row & columns has at least one zero element c. The data is arrangement in a square matrix d. None of the above

Last Answer : d. None of the above

Description : 37. Which of the following is not a characteristics of the LP a. Resources must be limited b. Only one objective function c. Parameters value remains constant during the planning period d. The problem must be of minimization type

Last Answer : d. The problem must be of minimization type

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 : . Non-negativity condition in an LP model implies a. A positive coefficient of variables in objective function b. A positive coefficient of variables in any constraint c. Non-negative value of resources d. None of the above

Last Answer : d. None of the Above

Description : 29. A constraint in an LP model restricts a. Value of objective function b. Value of a decision variable c. Use of the available resources d. All of the above

Last Answer : d. All of the above

Description : If in an assignment problem, number of rows is not equal to number of columns then a. Maximization problem b. Problem is unbalanced c. Problem is degenerate d. Optimum solution is not possible

Last Answer : c. Problem is 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 : 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

Last Answer : 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

Description : 48. The graphical method of LP problem uses a. Objective function equation b. Constraint equations c. Linear equations d. All of the above

Last Answer : d. All of the above

Description : 27. The mathematical model of an LP problem is important because a. It helps in converting the verbal description & numerical data into mathematical expression b. Decision-makers prefer to ... captures the relevant relationship among decision factors d. It enables the use of algebraic technique

Last Answer : a. It helps in converting the verbal description & numerical data into mathematical expression

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 : 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 : 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 : An optimum solution is considered the _____ among feasible solutions a. Worst b. Best c. Ineffective d. None of the above

Last Answer : b. Best

Description : . Operations Research involves _________ attacks of complex problems to arrive at the optimum solution a. Scientific b. Systematic c. Both a & b d. Statistical

Last Answer : c. Both a & b

Description : . Operations Research techniques helps to find an ________ by taking into account all the factors a. Ultimate solution b. Alternate solution c. Optimum solution d. Maximise solution

Last Answer : c. Optimum solution

Description : The purpose of a dummy row or column in an assignment problem is to a. Obtain balance between total activities and total resources b. Prevent a solution from becoming degenerate c. Provide a means of representing a dummy problem d. None of the above

Last Answer : a. Obtain balance between total activities and total resources

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 : 45. LP is a major innovations since _______ in the field of business decision-making, particularly under conditions of certainty a. Industrial Revolution b. World War I c. World War II d. French Revolution

Last Answer : c. World War II

Description : 40. Which of the following is a limitation associated with an LP model a. The relationship among decision variables is linear b. No guarantee to get integer valued solutions c. No considerations of effect of time & uncertainty on LP model d. All of the above

Last Answer : d. All of the above

Description : 39. Which of the following is an assumption of an LP model a. Divisibility b. Proportionality c. Additivity d. All of the above

Last Answer : d. All of the above

Description : 31. Constraints in an LP model represents a. Limitations b. Requirements c. Balancing limitations & requirements d. All of the above

Last Answer : 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 : An optimal assignment requires that the maximum number of lines that can be drawn through squares with zero opportunity cost be equal to the number of a. Rows or columns b. Rows & columns c. Rows + columns -1 d. None of the above

Last Answer : b. Rows & columns

Description : An objective function which states the determinants of the quantity to be either maximized or minimized is called_______ a. Feasible function b. Optimal function c. Criterion function d. None of the above

Last Answer : b. Optimal function

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

Last Answer : c. Artificial variable

Description : 51. An iso-profit line represents a. An infinite number of solutions all of which yield the same profit b. An infinite number of solutions all of which incurs the same cost c. An infinite number of optimal solutions d. A boundary of the feasible region

Last Answer : . An infinite number of solutions all of which yield the same profit

Description : 36. The best use of linear programming technique is to find an optimal use of a. Money b. Manpower c. Machine d. All of the above

Last Answer : . All of the above

Description : The assignment problem a. Requires that only one activity be assigned to each resource b. Is a special case of transportation problem c. Can be used to maximize resources d. All of the above

Last Answer : d. All of the above

Description : If the number of jobs is not equal to the number of resources, then the problem is term as _____ assignment problem a. Balanced b. Unbalanced c. Equal d. Unequal

Last Answer : b. Unbalanced

Description : If the number of jobs is equal to the number of resources, then the problem is term as _____ assignment problem a. Balanced b. Unbalanced c. Equal d. Unequal

Last Answer : a. Balanced

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 : Every combination of strategies determines an outcome known as _____ a. Regret b. Payoff c. Saddle point d. Profit matrix

Last Answer : b. Payoff

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 : 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 : 2. Non-Negativity condition is an important component of L P model because a. Variables value should remain under the control of the decision-maker b. Value of variables make sense & correspond to real-world problems c. Variables are interrelated in terms of limited resources d. None of the above

Last Answer : b. Value of variables make sense & correspond to real-world problems

Description : 28. Linear programming is a a. Constrained optimization technique b. Technique for economic allocation of limited resources c. Mathematical technique d. All of the above

Last Answer : b. Technique for economic allocation of limited resource

Description : A complete, local search algorithm always finds goal if one exists, an optimal algorithm always finds a global minimum/maximum. a) True b) False

Last Answer : a) True

Description : A ______ occurs when each player selects one of his strategies a. Profit b. Decision c. Play d. Game

Last Answer : c. Play

Description : 34. Maximization of objective function in an L P model means a. Value occurs at allowable set of decisions b. Highest value is chosen among allowable decisions c. Neither of above d. Both a & b

Last Answer : a. Value occurs at allowable set of decision

Description : . For __________ minimization, we take least value from each column and subtract it from all values of that column. a. Column b. Row c. Profit d. Cost

Last Answer : a. Column

Description : For __________ minimization, we take least value from each row and subtract it from all values of that row. a. Column b. Row c. Profit d. Cost

Last Answer : b. Row

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