Question # 1

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

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(1,4)

(4,2)

(3,1)

(4,1)

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

x = ________ is in the solution of 2x + 3 > 0

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1

-2

-3

-4

The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

A point of a solution region where two of its boundary lines intersect, is called

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Boundary

Inequality

Half plane

Vertex

3x + 4 = 0 is

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not inequality

equation

identity

inequality

The point ________ is in the solution of the inequality 2x - 3y < 4

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(0, -2)

(1, -3)

(2, 2)

(3, 0)

(0,0) is in the solution of the inequality

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x + y > 3

x - y > 2

3x + 2y > 5

3x - 2y < 2

A point (x,y) which satisfy a linear inequality in two variables form its

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Solution

Domain

Range

None

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

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46

60

50

70

Inequalities have ______ symbol

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2

3

4

1

Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

The graph of y> 0 is the upper - half of:

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y-axis

x-axis

1st and 4th quandrant

2nd and 3rd quadrant

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

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Two similar regions

Two disjoint regions

Four equal parts

One region

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

An expression involving any of the symbols <,>,< or > is called

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equation

inequality

linear equation

identity

The point ________ is in the solution of the inequality 2x - 3y > 5

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(1, -1)

(2,2)

(0,0)

(3,0)

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

If x < y, 2x = A, and 2y = B, then

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A = B

A < B

A < x

B < y

x = 1 is in the solution of the inequality

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x + 1 > 0

x - 2 > 0

3x - 1 < 0

x + 2 < 0

The total cost of 2 apples and 3 oranges is $1.70, which of the following is true

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The cost of one apple

The cost of one orange

Both have equal cost per item

Cost of each single item can not be determined

The graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

x = _________ is in the solution of 2x + 3 < 0

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0

2

-1

-2

(2, 1) is in the solution of the inequality

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

The point ________ is in the solution of the inequality 4x - 3y < 2

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(0,1)

(2,1)

(2,2)

(3,3)

(1,0) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 3

x - 2y < -5

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

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Zero

one

negative constant

Non negative constant

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

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