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The maximum value of $z=9 x+13 y$ subject to $2 x+3 y \leq 18,2 x+y \leq 10, x \geq 0, y \geq 0$ is
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The correct answer is:
79
The feasible region is $O A B C$.
$\begin{array}{ll}\text { At } & A(5,0), z=45 \\ \text { At } & B(3,4), z=27+52=79\end{array}$
At $\quad C(0,6), z=78$
$\therefore$ Maximum value of $z$ is 79 .
$\begin{array}{ll}\text { At } & A(5,0), z=45 \\ \text { At } & B(3,4), z=27+52=79\end{array}$
At $\quad C(0,6), z=78$
$\therefore$ Maximum value of $z$ is 79 .
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