$x_1$,
$x_2$, and
$x_3$ that maximize
$f(x_1, x_2, x_3) = 3x_1 + 4x_2 + 6x_3$ subject to the following constraints. Write the exact answer. Do not round. If the function has no maximum value, write None. If infinitely many values maximize the function, write Inf.
$$
\begin{cases}
2x_1 + x_2 + x_3 \le 11 \\
x_1 + 3x_2 + x_3 \le 17 \\
x_1 + x_2 + 4x_3 \le 18
\end{cases}
$$
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$x_1 = $
$x_2 = $
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