Que.2. Solve graphically the following LPP
Maximize Profit f= 10x + 20y
Subject to, 2x + y s 180
3x + 4y = 160
X, y 20
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Answer:
We know that the co-ordinates of the centroid of the triangle with vertices A(x
1
,y
1
)=(−2,−5),B(x
2
,y
2
)=(−2,12) and C(x
3
,y
3
)=(10,−1) is
G(
3
x
1
+x
2
+x
3
,
3
y
1
+y
2
+y
3
)
Thus, centroid of triangle ABC is
(
3
−2−2+10
,
3
−5+12−1
)
=
3
6
,
3
6
=(2,2)
Step-by-step explanation:
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