Top 50+ Solved LINEAR PROGRAMMING PROBLEM MCQ Questions Answer
Q. 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 region
d. must optimize the value of the objective function
Q. An iso-profit line represents
a. an infinite number of solutions all of which yield the same profit
b. an infinite number of solution all of which yield the same cost
c. an infinite number of optimal solutions
d. a boundary of the feasible region
Q. If an iso-profit line yielding the optimal solution coincides with a constaint line, then
a. the solution is unbounded
b. the solution is infeasible
c. the constraint which coincides is redundant
d. none of the above
Q. A constraint in an LP model becomes redundant because
a. two iso-profit line 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
Q. Constraints in LP problem are called active if they
a. represent optimal solution
b. at optimality do not consume all the available resources
c. both a & b
d. none of the above
Q. Mathematical model of Linear Programming is important because
a. It helps in converting the verbal description and numerical data into mathematical expression
b. decision makers prefer to work with formal models.
c. it captures the relevant relationship among decision factors.
d. it enables the use of algebraic techniques.
Q. In graphical method of linear programming problem if the iOS-cost line coincide with a side of region of basic feasible solutions we get
a. Unique optimum solution
b. unbounded optimum solution
c. no feasible solution
d. Infinite number of optimum solutions
Q. If the number of available constraints is 3 and the number of parameters to be optimized is 4, then
a. The objective function can be optimized
b. The constraints are short in number
c. The solution is problem oriented
d. None of these
Q. Non-negativity condition is an important component of LP 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
Q. Maximization of objective function in an LP 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
Q. Which of the following is not a characteristic of the LP model
a. Alternative courses of action
b. An objective function of maximization type
c. Limited amount of resources
d. Non-negativity condition on the value of decision variables.
Q. 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 optimal solution all resources are completely used
d. If an optimal solution exists, there will always be at least one at a corner
Q. While plotting constraints on a graph paper, terminal points on both the axes are connected by a 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