Operations Research MCQs

✅ The correct answer is option C.
Programme Evaluation and Review Technique (PERT) enables us to determine the earliest and the latest times for each of the events and activities and thereby helps in the identification of the critical path. Program evaluation is a systematic method for collecting, analyzing, and using information to answer questions about projects, policies and programs, particularly about their effectiveness and efficiency. Review Technique or PERT is used to identify the time it takes to finish a particular task or activity.

✅ The correct answer is option B.
A minimization problem can be converted into a maximization problem by changing the sign of coefficients in the objective functions. A minimization problem is in standard form if the objective function is to be minimized, subject to the constraints where.

✅ The correct answer is option D.
Non-negativity restriction indicates that all decision variables must take on values equal to or greater than zero.

✅ The correct answer is option C.
Operations Research uses models to help the management to determine its policies and actions scientifically. It uses various scientific research-based principles, strategies, and analytical methods including mathematical modeling, statistics and numerical algorithms to improve an organization’s ability to enact rational and meaningful management decisions by arriving at optimal or near optimal solutions.

✅ The correct answer is option A.
Constraints in LP problem are called active if they Represent optimal solution. An optimal solution that lies at the intersection. point of two constraints causes both of those constraints to be considered active.

✅ The correct answer is option C.
While plotting constraints on a graph paper, terminal points on both the axes are connected by a straight line because the constraints are linear equations or inequalities. An optimal solution is a feasible solution where the objective function reaches its maximum (or minimum) value – for example, the most profit or the least cost. A globally optimal solution is one where there are no other feasible solutions with better objective function values.

✅ The correct answer is option A.
Simulation technique is used to imitate an operation prior to actual performance. A simulation technique uses a probability experiment to mimic a real-life situation. Instead of studying the actual situation, which might be too costly, too dangerous, or too time-consuming, scientists and researchers create a similar situation but one that is less expensive, less dangerous, or less time-consuming.

✅ The correct answer is option D.
Simulation should not be applied in all cases because it Requires considerable talent for model building & extensive computer programming efforts, Consumes much computer time and Provides at best approximate solution to problem.

✅ The correct answer is option B.
While calculating equilibrium probabilities for a Markov process, it is assumed that transition probabilities do not change. Markov Analysis is a method used to forecast the value of a variable whose future value is influenced only by its current position or state, not by any prior activity that led the variable to its current position or state.

✅ The correct answer is option C.
As simulation is not an analytical model, therefore the result of simulation must be viewed as approximation. Analytical models are mathematical models that have a closed form solution, i.e. the solution to the equations used to describe changes in a system can be expressed as a mathematical analytic function.