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The shaded part of the given figure indicates the feasible region. Then the constraints are
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Verified Answer
The correct answer is:
$\mathrm{x}, \mathrm{y} \geq 0 ; \mathrm{x}-\mathrm{y} \geq 0 ; \mathrm{x} \leq 5 ; \mathrm{y} \leq 3$
Here equation of line $\mathrm{OC}$ is $\mathrm{y}=\mathrm{x}$ i.e. $\mathrm{x}-\mathrm{y}=0$ and equation of line $\mathrm{AB}$ is $\mathrm{x}=5$ i.e. $\mathrm{x}-5=0$
Equation of line $\mathrm{BC}$ is $\mathrm{y}=3$ i.e. $\mathrm{y}-3=0$
Hence constraints for the shaded region are $x, y \geq 0, x-5 \leq 0, x$
$$
\begin{aligned}
& -y \geq 0, y-\leq 0 \\
& \text { i.e. } x, y \geq 0, x \leq 5, x-y \geq 0, y \leq 3
\end{aligned}
$$
Equation of line $\mathrm{BC}$ is $\mathrm{y}=3$ i.e. $\mathrm{y}-3=0$
Hence constraints for the shaded region are $x, y \geq 0, x-5 \leq 0, x$
$$
\begin{aligned}
& -y \geq 0, y-\leq 0 \\
& \text { i.e. } x, y \geq 0, x \leq 5, x-y \geq 0, y \leq 3
\end{aligned}
$$
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