The maximum value of $Z=3x+4y$ subject to the constraints : $x+y ≤1, x≥0, y ≥0$ is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 4
$Z=3x+4y$
$x+y ≤1, x≥0, y ≥0$
| at points | value of Z |
| (0, 0) | 0 |
| (0, 1) | 4 |
| (1, 0) | 3 |
Maximum Z = 4