Linear Programming Test

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Linear Programming Test - 1

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Weekly Quiz Competition

Question 1
4 / -1

Variables of the objective function of the linear programming problem are

A
zero

B
zero or positive

C
negative

D
zero or negative
Question 2
4 / -1

The area of the feasible region for the following constraints 3y + x ≥ 3 , x ≥ 0 and y ≥ 0 will be

A
bounded

B
unbounded

C
convex

D
concave
Question 3
4 / -1

Maximum value of z =12x + 3y, subject to constraints x ≥ 0, y ≥ 0, x + y ≤ 5 and 3x + y ≤ 9 is

A
15

B
36

C
60

D
40
Question 4
4 / -1

The region represented by the inequation system x , y ≥ 0, y ≤ 6 , x + y ≤ 3 is

A
unbounded in first quadrant

B
unbounded in first and second quadrants

C
bounded in first quadrant

D
None of the above
Question 5
4 / -1

Which of the term is not used in a linear programming problem?

A
Optimal solution

B
Feasible solution

C
Concave region

D
Objective function
Question 6
4 / -1

The maximum value of z = 4x + 2y subject to constraints 2x + 3y ≤ 18 , x + y ≥ 10 and x , y ≥ 0 is

A
20

B
36

C
40

D
None of these
Question 7
4 / -1

The maximum value of z is where, z = 4x + 2y subject to constraints 4x + 2y ≥ 46 , x + 3y ≤ 24 and x, y ≥ 0, is

A
46

B
96

C
52

D
None of these
Question 8
4 / -1

Maximum value of z = 3x + 4y subject to constraints x - y ≥ -1, -x + y ≤ 0 and x , y ≥ 0, is given by

A
1

B
4

C
6

D
no feasible region
Question 9
4 / -1

A furniture dealer deals in only two items namely tables and chairs. He has Rs 5000 to invest and space to store atmost 60 pieces. A table cost him Rs 250 and a chair Rs 60. He can sell a table at a profit of Rs 15. Assume that, he can sell all the items that he produced. The number of constraints in the problem are

A
2

B
3

C
4

D
5
Question 10
4 / -1

If x + y ≤ 2 ; x ≥ 0, y ≥ 0 is the point at which maximum value of 3x + 2y attained will be

A
( 0, 2 )

B
( 0, 0 )

C
( 2, 0 )

D

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Linear Programming Test - 1

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Linear Programming Test - 1

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Question 1

zero

zero or positive

negative

zero or negative

Question 2

bounded

unbounded

convex

concave

Question 3

15

36

60

40

Question 4

unbounded in first quadrant

unbounded in first and second quadrants

bounded in first quadrant

None of the above

Question 5

Optimal solution

Feasible solution

Concave region

Objective function

Question 6

20

36

40

None of these

Question 7

46

96

52

None of these

Question 8

1

4

6

no feasible region

Question 9

2

3

4

5

Question 10

( 0, 2 )

( 0, 0 )

( 2, 0 )

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