FSc Part 2 Mathematics Chapter 5 Short Questions Preparation

• 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.

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.

What are constraints in linear programming ?

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

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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.

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Define optimal solution

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

Define feasible solution.

• Ans 1: The set of values of variables satisfying all the constraints lying in the first quadrant is known as feasible solution.

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.

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Define an objective function.

• Ans 1: A function, which is to be maximized or minimized, is called an objective function.

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Define problem constraints.

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

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.

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.

Define problem constraints.

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

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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.

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Define a corner point.

• Ans 1: A point of a solution region where two of its boundary lines intersect is called a corner point or a vertex of the solution region.