Minimize \( \mathrm{Z}=-3 x+4 y \) subject to constraints : \[ x+2 ...

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Minimize \( \mathrm{Z}=-3 x+4 y \) subject to constraints :
\[
x+2 y \leq 8,3 x+2 y \leq 12, x \geq 0, y \geq 0 \text {. }
\]
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