Solve using the graphical method: 

Maximize	$\displaystyle {z}={x}+{4}{y}$
Subject to	$\displaystyle {\left.\begin{array}{ccc} {3}{x}+{4}{y}&\le&{40}\\{7}{x}+{6}{y}&\le&{70}\\{x}&\ge&{0}\\{y}&\ge&{0}\end{array}\right.}$

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