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Applied Optimization
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Applied Optimization
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6. Graphical Applications of Derivatives / Applied Optimization / Problem 2
Problem 2
Given the objective function
Z
=
4
x
+
3
y
Z = 4x + 3y
, with the constraint that
x
y
=
72
xy=72
, for
x
>
0
x > 0
and
y
>
0
y > 0
. Determine the absolute minimum value of
Z
Z
.
A
24
6
24\sqrt6
B
12
6
12\sqrt6
C
36
6
36\sqrt6
D
48
6
48\sqrt6
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