The function to be maximized is given by $Z=2 x+y$. The feasible region for this function $Z$ is the shaded…
The function to be maximized is given by $Z=2 x+y$. The feasible region for this function $Z$ is the shaded region given below. The maximum value of $Z$ is
and occurs at the point .
$10,(5,0)$
$12,(6,0)$
$9,(1.5,6)$
$21,(0.5,0)$
Solution
Corner points are $(0,5),(5,0),(6,0),(0,7)$ and $\left(\frac{3}{2}, 6\right)$ $Z=2 x+y$ is maximum at $(6,0)$
$Z_{\max }=2 \times 6+0=12$
and occurs at the point
