Operations Research MCQs

✅ The correct answer is option D.
The best use of linear programming technique is to find an optimal use of Money, Manpower and Machine.

✅ The correct answer is option B.
The variables whose coefficient vectors are unit vectors are called basic variables. The basic variables can be defined as the m variables which can take any value other than zero. Moreover, if the variables satisfy the non-negativity condition of the LP model, the basic solution created by them is called the basic feasible solution. The remaining variables are known as the non-basic variables.

✅ The correct answer is option A.

✅ The correct answer is option A.
Operations Research simply helps in improving the quality of the solution but does not in a perfect solution. It implies that by applying its scientific approach, it can only improve the quality of solution but it may not be able to give perfect solution.

✅ The correct answer is option C.

✅ The correct answer is option B.
If in a LPP , the solution of a variable can be made infinity large without violating the constraints, the solution is unbounded. 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.

✅ The correct answer is option A.
As for maximization in assignment problem, the objective is to maximize the Profit. An assignment problem is a particular case of transportation problem where the objective is to assign a number of resources to an equal number of activities so as to minimize total cost or maximize total profit of allocation.

✅ The correct answer is option A.
A feasible solution to an LP problem must satisfy all of the problem’s constraints simultaneously. A feasible solution is a set of values for the decision variables that satisfies all of the constraints in an optimization problem. A local optimal solution is one where there is no other feasible solution “in the vicinity” with a better objective function value.

✅ The correct answer is option D.
The graphical method of LP problem uses Objective function equation, Constraint equations and Linear equations.

✅ The correct answer is option B.
Non-negativity condition is an important component of LP model because value of variables make sense & correspond to real-world problems. Non-negativity restriction indicates that all decision variables must take on values equal to or greater than zero.