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21
Which of the following is not a characteristic of the LP?
Discuss
Answer & Solution
Answer: Option D
Solution:
The problem must be of minimization type is not a characteristic of the LP. The objective of linear programming is to: “maximize or to minimize some numerical value.
22
Non-negativity condition in an LP model implies.
Discuss
Answer & Solution
Answer: Option D
Solution:
Non-negativity restriction indicates that all decision variables must take on values equal to or greater than zero.
23
Which of the following is an assumption of an LP model?
Discuss
Answer & Solution
Answer: Option D
Solution:
Divisibility, Proportionality and Additivity is an assumption of an LP model.
24
Which of the following is a limitation associated with an LP model?
Discuss
Answer & Solution
Answer: Option D
Solution:
The relationship among decision variables in linear, No guarantee to get integer valued solutions and No consideration of effect of time & uncertainty on LP model are the limitation associated with an LP model.
25
The graphical method of LP problem uses.
Discuss
Answer & Solution
Answer: Option D
Solution:
The graphical method of LP problem uses Objective function equation, Constraint equations and Linear equations.
26
A feasible solution to an LP problem.
Discuss
Answer & Solution
Answer: Option A
Solution:
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.
27
Which of the following statements is true with respect to the optimal solution of an LP problem?
Discuss
Answer & Solution
Answer: Option D
Solution:
If an optimal solution exists, there will always be at least one at a corner statement is true with respect to the optimal solution of an LP problem.
28
An iso-profit line represents.
Discuss
Answer & Solution
Answer: Option A
Solution:
An iso-profit line represents an infinite number of solutions all of which yield the same profit. The graph of the profit function is called an iso-profit line. It is called this because "iso" means "same" or "equal" and the profit anywhere on the line is the same.
29
If an iso-profit line yielding the optimal solution coincides with a constaint line, then.
Discuss
Answer & Solution
Answer: Option D
Solution:
An iso-profit line represents an infinite number of solutions all of which yield the same profit. The graph of the profit function is called an iso-profit line. It is called this because "iso" means "same" or "equal" and the profit anywhere on the line is the same.
30
While plotting constraints on a graph paper, terminal points on both the axes are connected by a straight line because?
Discuss
Answer & Solution
Answer: Option C
Solution:
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.