Question # 1

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

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

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straight line

half plane

parabola

none of these

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

The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

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Linear Inequalities

Feasible regions

Half planes

Boundary

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

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

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

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

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(1, -1)

(2,2)

(0,0)

(3,0)

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

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Explicit function

Implicit function

Objective function

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

(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

(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 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

3x + 4 < 0 is

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inequality

equation

identity

not inequality

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

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equation

inequality

linear equation

identity

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

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2

-2

3

4

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

Each point of the feasible region is called

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Solution

feasible solution

Both a & b

None

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

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

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0

2

-2

3

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

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

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

3x + 4 > 0 is

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equation

identity

inequality

none of these

The graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

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

x+2y=10 is:

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(8,1)

(1,8)

(6,10)

(3,5)

The points (x, y) which satisfy a linear inequality in two variables x and y from its

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domain

range

solution

none of these

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