If the corner points of the bounded feasible region of an LPP with objective function Maximize $Z = 2x + 3y$ are (0, 0), (1, 2) and (1, 1), then its optimal value is

8

The correct answer is Option (3) → 8

$Z=2x+3y$

At $(0,0)$,

$Z=2(0)+3(0)=0$

At $(1,2)$,

$Z=2(1)+3(2)=2+6=8$

At $(1,1)$,

$Z=2(1)+3(1)=2+3=5$

The maximum value among $0,8,5$ is $8$.

Optimal value of $Z$ is $8$.