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Mathematics
Mathematics
Problem
The feasible region of a linear programming problem has vertices at
A
(
0
,
0
)
A(0,0)
A
(
0
,
0
)
,
B
(
4
,
0
)
B(4,0)
B
(
4
,
0
)
and
C
(
2
,
3
)
C(2,3)
C
(
2
,
3
)
. For the objective function
Z
=
5
x
+
2
y
Z = 5x + 2y
Z
=
5
x
+
2
y
, find the maximum value of
Z
Z
Z
and the vertex at which it occurs.
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