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Solve the following linear programming problem. Maximize: z=4x+9y subject to: 6x+7y42 12x+y42 x0, y0 The maximum...

Solve the following linear programming problem.

Maximize: z=4x+9y

subject to: 6x+7y\leq42

12x+y\leq42

x\geq0, y\geq0

The maximum value is ___.

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