Q72 / 180 · COMEDK 2024 (Memory Based) · Mathematics
The maximum value of $x+y$ subjected to $2 x+3 y \leq 12, x y \geq 0$
- A4
- Correct answerB6
- C8
- D10
Solution
Let $Z=x+y$
$\begin{aligned}<br/>& Z(0,0)=0 \\<br/>& Z(6,0)=6 \\<br/>& Z(0,4)=4<br/>\end{aligned}$
$\therefore$ Maximum value of $Z$ is 6 .
$\begin{aligned}<br/>& Z(0,0)=0 \\<br/>& Z(6,0)=6 \\<br/>& Z(0,4)=4<br/>\end{aligned}$
$\therefore$ Maximum value of $Z$ is 6 .
Hence, the correct answer is option: 'B'.