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The maximum value of the objective function $Z=3 x+2 y$ for linear constraints $x+y \leq 7$ $2 x+3 y \leq 16, x \geq 0, y \geq 0$ is
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The correct answer is:
21
The feasible region is $O A B C O$.
At $O(0,0), Z=0$
At $A\left(0, \frac{16}{3}\right), Z=\frac{32}{3}$
At $B(5,2), Z=15+4=19$
At $C(7,0), Z=21$
$\therefore$ Maximum value of $Z$ is 21 .
At $O(0,0), Z=0$
At $A\left(0, \frac{16}{3}\right), Z=\frac{32}{3}$
At $B(5,2), Z=15+4=19$
At $C(7,0), Z=21$
$\therefore$ Maximum value of $Z$ is 21 .
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