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Applied Optimization

6. Graphical Applications of Derivatives / Applied Optimization / Problem 2

Problem 2

Given the objective function $Z = 4 x + 3 y$ , with the constraint that $x y equals 72$ , for $x is greater than 0$ and $y is greater than 0$ . Determine the absolute minimum value of $Z$ .

A

$24 the square root of 6$

B

$12 the square root of 6$

C

$36 the square root of 6$

D

$48 the square root of 6$

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