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Mathematics
Problem
Minimise
Z
=
4
x
+
3
y
Z = 4x + 3y
Z
=
4
x
+
3
y
subject to
x
+
y
≥
5
,
x
+
2
y
≥
8
,
x
≥
0
,
y
≥
0
x + y \ge 5,\; x + 2y \ge 8,\; x \ge 0,\; y \ge 0
x
+
y
≥
5
,
x
+
2
y
≥
8
,
x
≥
0
,
y
≥
0
. Write the minimum value of
Z
Z
Z
and the point at which it occurs, or state that no finite minimum exists.
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