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JEE Questions for Maths Linear Programming Quiz 1 - MCQExams.com
JEE
Maths
Linear Programming
Quiz 1
The maximum value of z = 9
x
+ 13
y
, subject to constraints 2
x
+ 3
y
≤ 18, 2
x
+
y
≤ 10,
x
≥ 0 and
y
≥ 0 is
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0%
130
0%
81
0%
79
0%
99
Variables of the objective function of the linear programming problem are
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0%
zero
0%
zero or positive
0%
negative
0%
zero or negative
The area of the feasible region for the following constraints 3
y
+
x
≥ 3 ,
x
≥ 0 and
y
≥ 0 will be
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0%
bounded
0%
unbounded
0%
convex
0%
concave
Maximum value of z =12
x
+ 3
y
, subject to constraints
x
≥ 0,
y
≥ 0,
x
+
y
≤ 5 and 3
x
+
y
≤ 9 is
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0%
15
0%
36
0%
60
0%
40
The region represented by the inequation system
x
,
y
≥ 0,
y
≤ 6 ,
x
+
y
≤ 3 is
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0%
unbounded in first quadrant
0%
unbounded in first and second quadrants
0%
bounded in first quadrant
0%
None of the above
Which of the term is not used in a linear programming problem?
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0%
Optimal solution
0%
Feasible solution
0%
Concave region
0%
Objective function
The maximum value of z = 4
x
+ 2
y
subject to constraints 2
x
+ 3
y
≤ 18 ,
x
+
y
≥ 10 and
x
,
y
≥ 0 is
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0%
20
0%
36
0%
40
0%
None of these
The maximum value of z is where, z = 4
x
+ 2
y
subject to constraints 4
x
+ 2
y
≥ 46 ,
x
+ 3
y
≤ 24 and
x
,
y
≥ 0, is
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0%
46
0%
96
0%
52
0%
None of these
Maximum value of z = 3
x
+ 4
y
subject to constraints
x
-
y
≥ -1, -
x
+
y
≤ 0 and
x
,
y
≥ 0, is given by
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0%
1
0%
4
0%
6
0%
no feasible region
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
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0%
2
0%
3
0%
4
0%
5
If
x
+
y
≤ 2 ;
x
≥ 0,
y
≥ 0 is the point at which maximum value of 3
x
+ 2
y
attained will be
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0%
( 0, 2 )
0%
( 0, 0 )
0%
( 2, 0 )
0%
Which of the following sets are not convex?
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0%
{(x , y) : 8x2 + 6y2 ≤ 24}
0%
{(x , y) : 6 ≤ x2 + y2 ≤ 36}
0%
{(x , y): y ≥ 3, y ≥ 30}
0%
{(x , y): x2 ≤ y
Consider the linear programming problem Maximise z = 4
x
+
y
Subject to constraints
x
+
y
≤ 50,
x
+
y
≥ 100, and
x
,
y
≥ 0 Then, maximum value of z is
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0%
0
0%
50
0%
100
0%
does not exist
The point which provides the solution of the linear programming problem, maximise z = 45
x
+ 55
y
Subject to constraints
x
,
y
≥ 0, 6
x
+ 4
y
≤ 120 and 3
x
+ 10
y
≤ 180 is
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0%
( 15 , 10 )
0%
( 10 , 15 )
0%
( 0 , 18 )
0%
( 20 , 0 )
The linear programming problem Maximise z =
x
1
+
x
2
Subject to constraints
x
1
+ 2
x
2
≤ 2000,
x
1
+
x
2
≤ 1500,
x
2
≤ 600 and
x
1
≥ 0 has
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0%
no feasible solution
0%
unique optimal solution
0%
a finite number of optimal solutions
0%
infinite number of optimal solutions
The optimal value of the objective function is attained at the point is
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0%
given by intersection of inequations with axes only
0%
given by intersection of inequations with X-axis only
0%
given by corner points of the feasible region
0%
None of the above
The maximum value of z = 10
x
+ 6
y
, subject to constraints
x
≥ 0,
y
≥ 0,
x
+
y
≤ 12, 2
x
+
y
≤ 20 is
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0%
72
0%
80
0%
104
0%
110
A vertex of a feasible region by the linear constraints 3
x
+ 4
y
≤ 18, 2
x
+ 3
y
≥ 3 and
x, y
≥ 0 is
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0%
(0, 2)
0%
(4.8, 0)
0%
(0, 3)
0%
None of these
For an LPP, minimise z = 2
x
+
y
subject to constraints 5
x
+ 10
y
≤ 50 ,
x
+
y
≥ 1,
y
≤ 4 and
x,y
≥ 0, then z is equal to
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0%
0
0%
1
0%
2
0%
12
For the LPP, minimise z =
x
1
+
x
2
such that inequalities 5
x
1
+ 10
x
2
≥ 0,
x
1
+
x
2
≤ 1,
x
2
≤ 4 and
x
1
,
x
2
≥ 0
Report Question
0%
There is a bounded solution
0%
There is no solution
0%
There are infinite solutions
0%
None of the above
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Incorrect : 0
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