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Byju's Answer
Standard XII
Physics
Potential Gradient and Relation between Electric Field and Potential
The maximum v...
Question
The maximum value of
z
=
9
x
+
13
y
subject to
2
x
+
3
y
≤
18
,
2
x
+
y
≤
10
,
x
≥
0
,
y
≥
0
is
A
130
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B
81
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C
79
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D
99
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Solution
The correct option is
D
79
The feasible region is OABC.
At
O
(
0
,
0
)
,
z
=
0
At
A
(
5
,
0
)
,
z
=
45
At
B
(
3
,
4
)
,
z
=
27
+
52
=
79
At
C
(
0
,
6
)
,
z
=
78
∴
MAximum value of z is
79
.
Suggest Corrections
0
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Q.
The maximum value of z = 4x + 2y subject to the constraints
2
x
+
3
y
≤
18
,
x
+
y
≤
10
,
x
≥
0
,
y
≥
0
,
is ____________.