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Tentukan nilai maksimum dari $P=\\var{a}x+\\simplify{2*{a}}y$ dengan kendala $\\begin{cases} x+y &\\geq \\var{c}\\\\ y-x &\\leq \\var{c} \\\\ x-y &\\geq \\var{c}\\\\ x+y &\\leq \\simplify{3*{c}}\\end{cases}$.

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