The maximum value of $Z=3x+4y$ subject to constraint $x+y≤6, x, y ≥ 0$ is :
Answer & explanation
Correct answer: option 4
The correct answer is Option 4: 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 |
