Question # 1

A line which divides a plane into two parts is called:

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Boundary point

Boundary line

Feasible line

None

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Above

Left

Below

Right

The system of _________ involved in the problem concerned is called problem constraints:

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Linear inequalities

Equations

Linear equalities

None of these

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

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Adding

Subtracting

Dividing

None of these

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

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One variable

Three variable

Two variable

Four variable

If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

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Maximum

Vertex

Minimum

Convex

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Open

Closed

Open as well as closed

None of these

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

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Maximum

Corner

Minimum

None of these

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

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Maximum solution

Optimal solution

Minimum solutions

None of these

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

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At

Not on

On

None of these

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

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One variable

Three variable

Two variable

Four variable

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

The inequality y > b is the open half plane to the ______ of the boundary line y = b:

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Above

Left

Below

Right

The graph of linear equation of the form ax + by = c is a line, which divides the plane into ______ disjoint regions, where a, b and c are constants and a, b are not both zero.

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One

Two

Thre

None of these

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