Question # 1

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

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 = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

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p < r

p > rr

p + r < 0

p - r < 0

3x + 4 > 0 is

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equation

identity

inequality

none of these

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

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 5

x -2y < -5

The point _________ is in the solution of the inequality 2x + 3y < 5

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(1,1)

(2,2)

(0,1)

(0,2)

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

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

(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 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

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

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

The solution set of the inequality ax + by < c is

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straight line

half plane

parabola

none of these

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

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

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3x + 4y > 3

2x + 3y < 2

4x = 3y > 5

2c - 3y > 2

3x + 4 = 0 is

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not inequality

equation

identity

inequality

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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

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Solution

Domain

Range

None

(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 ________ divides the plane into left and right half planes.

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Vertical line

Horizontal line

Non vertical line

Inequality

x = ________ is in the solution of 2x - 5 > 0

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0

2

-2

3

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

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(0,1)

(2,1)

(2,2)

(3,3)

Which of the following ordered pair is a solution of the inequality x+2y<6?

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(2,3)

(2,2)

(6,0)

(1,1)

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

If -1 < x < 0, which of the following statements must be true?

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x < x²< x³

x < x³< x²

x²< x³< x

x²< x < x³

The corner point of the boundary lines, x-2y

2x + y = 2 is:

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(2,6)

(6,2)

(-2,2)

(2,-2)

x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

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