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The maximum value of the objective function $\mathrm{z}=4 \mathrm{x}+5 \mathrm{y}$ subject to constraints $2 x+3 y \leq 12,2 x+y \leq 8$ and $x \geq 0, y \geq 0$ is
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The correct answer is:
22
$z=4 x+5 y$
$\mathrm{z}_{\max }=4 \times 3+5 \times 2=22$
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