Operations Research - Study Mode
[#86] If the feasible region of a LPP is empty, the solution is ______________.
Correct Answer
(A) Infeasible
Explanation
Solution: If the feasible region of a LPP is empty, the solution is infeasible. A linear program is infeasible if there exists no solution that satisfies all of the constraints -- in other words, if no feasible solution can be constructed. Since any real operation that you are modelling must remain within the constraints of reality, infeasibility most often indicates an error of some kind. Simplex-based LP software like lp_solve efficiently detects when no feasible solution is possible.
[#87] The variables whose coefficient vectors are unit vectors are called ____________.
Correct Answer
(B) Basic Variables
Explanation
Solution: 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.
[#88] Which of the following is/are technique(s) of OR?
Correct Answer
(D) All of these
[#89] Match the following. List-I List-II a. TQM promotes 1. Small change b. Kaizen 2. Continuous improvement c. Quality circle can solve problem related 3. Employee participation d. Quality circle benefit to 4. Employee
Correct Answer
(A) a-3, b-1, c-2, d-4
[#90] Which of the following are key components of a total quality management system?
Correct Answer
(D) Involves everyone, continual improvement, use of data and knowledge