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Byju's Answer
Standard XII
Mathematics
Linear Programming Problems
For the LPP; ...
Question
For the LPP; maximise
z
=
x
+
4
y
subject to the constraints
x
+
2
y
≤
2
,
x
+
2
y
≥
8
,
x
,
y
≥
0
.
A
z
m
a
x
=
4
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B
z
m
a
x
=
8
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C
z
m
a
x
=
16
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D
Has no feasible solution
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Solution
The correct option is
D
Has no feasible solution
x
+
2
y
≤
2
x
+
2
y
≥
8
x
,
y
≥
0
.
Suggest Corrections
0
Similar questions
Q.
For the LPP; maximise
z
=
x
+
4
y
subject to the constraints
x
+
2
y
≤
2
,
x
+
2
y
≥
8
,
x
,
y
≥
0
Q.
For the LPP; maximize
z
=
5
x
−
2
y
subject to the constraints
3
x
+
2
y
≤
6
,
10
x
+
9
y
≥
45
,
x
,
y
≥
0
Q.
If
(
0
,
0
)
,
(
30
,
0
)
,
(
20
,
30
)
and
(
0
,
50
)
are the vertices of the feasible region of the LPP
Maximize
Z
=
60
x
+
50
y
Subject to
x
+
y
≥
50
,
3
x
+
y
≤
90
and
x
,
y
≥
0
, then
Z
m
a
x
=
Q.
Maximise
Z
=
x
+
2
y
Subject to the constraints
x
+
2
y
≥
100
2
x
−
y
≤
0
2
x
+
y
≤
200
x
,
y
≥
0
.
Solve the given LPP graphically.
Q.
Maximise
Z
=
−
x
+
2
y
, subject to the constraints:
x
≥
3
,
x
+
y
≥
5
,
x
+
2
y
≥
6
,
y
≥
0
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