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Mathematics
Problem
Minimise
Z
=
2
x
+
3
y
Z = 2x + 3y
Z
=
2
x
+
3
y
subject to
x
≥
0
,
y
≥
0
,
x
+
2
y
≥
8
,
3
x
+
y
≥
12
x \ge 0,\; y \ge 0,\; x + 2y \ge 8,\; 3x + y \ge 12
x
≥
0
,
y
≥
0
,
x
+
2
y
≥
8
,
3
x
+
y
≥
12
. What is the minimum value of
Z
Z
Z
? a)
14
14
14
b)
16
16
16
c)
68
5
\dfrac{68}{5}
5
68
d) No finite minimum exists
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