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Byju's Answer
Standard XII
Mathematics
Graphical Method of Solving Linear Programming Problems
Solve 3x+2y...
Question
Solve
3
x
+
2
y
≤
12
,
x
+
2
y
≤
16
,
x
+
y
≤
10
,
x
≥
0
,
y
≥
0.
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Solution
Given:
3
x
+
2
y
≤
12
x
+
2
y
≤
16
x
≥
0
y
≥
0
Solution i)
3
x
+
2
y
=
12
x
0
6
y
4
0
Points
A(0,4)
B(6,0)
ii)
x
+
2
y
=
16
x
0
16
y
8
0
Points
C(0,8)
D(16,0)
iii)
x
+
y
=
10
x
0
0
y
10
0
Points
E(0,10)
F(10,0)
The feasible region is AOB since it is common to the three equation graphyically with the points .
A
(
0
,
4
)
,
0
(
0
,
0
)
a
n
d
B
(
6
,
0
)
.
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