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Structure of linear programming model - class-X

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QuestionClick to flip

What is the solution of $x\le 4,y\ge 0$ and $x\le -4,y\le 0$ ?

AnswerClick to flip back

$x\le -4,y=0$

💡 Explanation:

$x \le 4$ and $x \le -4$

$\Rightarrow x \le -4$

Also,

$y \ge 0$ and $y \le 0$

$\Rightarrow y = 0$

Hence the solutione is $x \le -4, ; y = 0$.