The maximum value of $Z=3x+4y$ subject to constraint $x+y≤6, x, y ≥ 0$ is :

18 20 22 24

24

Using LPP graph method to check values of function at corner points $x, y ≥ 0$ (solution in Ist quadrant) checking at corner points (x,y)     Z=3x+4y   (0,0) 0 (6,0) 18 (0,6) 24 → Maximum