FSc Part 2 Mathematics Chapter 5 Short Questions Preparation

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Define problem constraints.

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

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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.

State fundamental extreme point theorem.

• Ans 1: From all the points in a plane bounded by a number of lines the maximum or minimum value of the objective function occurs only at one of the vertices of the bounded linear region.

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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.

Define optimal solution

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

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.

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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.

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.

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Define optimal solution

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

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Define non-negative constraints and decision variable.

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

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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:

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:

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.

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