If corner points of the bounded feasible region are (0, 0), (3, 0) and (0, 3) and objective function is $Z = 4x + 7y$, then the maximum value of Z is

21

The correct answer is Option (2) → 21

Corner points are $(0,0)$, $(3,0)$ and $(0,3)$.

Evaluate $Z=4x+7y$ at each point.

$Z(0,0)=0$

$Z(3,0)=4\cdot3+7\cdot0=12$

$Z(0,3)=4\cdot0+7\cdot3=21$

Maximum value is $21$ at $(0,3)$.

Final answer: $21$