Linear Programming Test

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Linear Programming Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The maximum value of f = 4x + 3y subject to constraints 2 x + y ≤ 10, x ≥ 0, y ≥ 0 is

A
35

B
36

C
34

D
none of these
Question 2
1 / -0

The region represented by the inequalities x ≥ 6, y ≥ 2, 2 x + y ≤ 10, x ≥ 0, y ≥ 0 is

A
unbounded

B
a polygon

C
exterior of a triangle

D
none of these
Question 3
1 / -0

In graphical solutions of linear inequalities, solution can be divided into

A
one subset

B
two subsets

C
three subsets

D
four subsets
Question 4
1 / -0

If the primal Linear Programming problem has unbounded solution, then its dual problem will have

A
feasible solution

B
alternative solution

C
no feasible solution at all

D
no bounded solution at all
Question 5
1 / -0

Which of the following sets is not convex ?

A
{(x,y) : x + y ≤ 1}

B
{(x,y) : x² + y² ≤ 1}

C
{(x,y) : 1 ≤ x² + y² ≤ 3}

D
none of these
Question 6
1 / -0

An aeroplane can carry a maximum of 200 passengers. A profit of Rs 1000 is made on each executive class ticket and a profit of Rs 600 is made on each economy class ticket. The airline reserves at least 20 seats for executive class.nHowever, at least 4 times as many passengers prefer to travel by economy class than by the executive class. The maximum profit is

A
134000

B
135000

C
136000

D
137000
Question 7
1 / -0

Which of the following sets is convex ?

A
{(x,y) : x² + y² ≥ 1}

B
{(x,y) : 2 x² + 3 y² ≤ 6}

C
{(x,y) : 4 ≤ x² + y² ≤ 9}

D
none of these
Question 8
1 / -0

The optimal value of the objective function is attained at the points

A
on X-axis

B
on Y-axis

C
which are corner points of the feasible region

D
none of these
Question 9
1 / -0

If dual has an unbounded solution, then its corresponding primal has

A
no feasible solution

B
unbounded solution

C
feasible solution

D
none of these
Question 10
1 / -0

Region represented by x ≥ 0, y ≥ 0 is

A
first quadrant

B
second quadrant

C
third quadrant

D
fourth quadrant

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Re-Attempt Weekly Quiz Competition

Linear Programming Test - 2

Result

Linear Programming Test - 2

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Rank

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SHARING IS CARING

Question 1

35

36

34

none of these

Question 2

unbounded

a polygon

exterior of a triangle

none of these

Question 3

one subset

two subsets

three subsets

four subsets

Question 4

feasible solution

alternative solution

no feasible solution at all

no bounded solution at all

Question 5

{(x,y) : x + y ≤ 1}

{(x,y) : x2 + y2 ≤ 1}

{(x,y) : 1 ≤ x2 + y2 ≤ 3}

none of these

Question 6

134000

135000

136000

137000

Question 7

{(x,y) : x2 + y2 ≥ 1}

{(x,y) : 2 x2 + 3 y2 ≤ 6}

{(x,y) : 4 ≤ x2 + y2 ≤ 9}

none of these

Question 8

on X-axis

on Y-axis

which are corner points of the feasible region

none of these

Question 9

no feasible solution

unbounded solution

feasible solution

none of these

Question 10

first quadrant

second quadrant

third quadrant

fourth quadrant

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{(x,y) : x² + y² ≤ 1}

{(x,y) : 1 ≤ x² + y² ≤ 3}

{(x,y) : x² + y² ≥ 1}

{(x,y) : 2 x² + 3 y² ≤ 6}

{(x,y) : 4 ≤ x² + y² ≤ 9}