# GATE Mechanical 2014 Set 3 | Question: 39

Consider an objective function $Z(x_1,x_2)=3x_1+9x_2$  and the constraints

$x_1+x_2 \leq 8$

$x_1+2x_2 \leq 4$

$x_1 \geq 0$ , $x_2 \geq 0$

The maximum value of the objective function is _______

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