Online Short Questions Preparations

• Ans 1:

Define convex region.

• Ans 1: if the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called convex.

• Ans 1:

• Ans 1:

Check whether the region of graph 2x + 3y > 1 lies on the origin side or not.

• Ans 1: The graph of 2x + 3y > 1 is an open half plane.
  As 2(0) + 3 (0) > 1 is not true.
  So the region is not on the origin side.

In how many ways the graph of linear equation of the form ax + by = c divides the plane.

• Ans 1: The graph of linear equation of the form ax + by = c is a straights line, which divides the plane into two disjoint regions, as ax + by < c and ax + by > c; where a, b and c are constants and a, b are not both zero.

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

What are constraints in linear programming ?

• Ans 1: The conditions in the form of linear equations and in-equations are known as constraints.

• Ans 1:

Define convex region.

• Ans 1: if the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called convex.

Define a feasible solution set.

• Ans 1: A set containing of all the feasible solution of the system of linear inequalities is called a feasible solution set.

• Ans 1:

• Ans 1:

• Ans 1:

Define problem constraints.

• Ans 1: The system of linear inequalities involved in the problem concerned is called problem constraints.

• Ans 1:

• Ans 1:

• Ans 1:

The region of graph 2x + y > 2 lies on the origin side or not.

• Ans 1: The graph of 2x + y > 2 is the open half plane.
  As 2(0) + 0 > 2 is not true.
  So the region is not on the origin side of 2x + y = 2.

Define optimal solution

• Ans 1: The feasible solution, which maximizes or minimizes the objective function, is called the optimal solution.

• Ans 1:

• Ans 1:

What is a feasible solution of the system of linear inequalities ?

• Ans 1: Each point of the feasible region is called a feasible solution of the system of linear inequalitites.

• Ans 1:

• Ans 1:

Define decision variables.

• Ans 1: The variables used in the system of linear inequalities relating to the problems of everyday life are non-negative are called decision variables.

• Ans 1: