The solution set of the inequalities $4 x+3 y \leq 60, y \geq 2 x, x \geq 3, x, y \geq 0$ is represented by…
The solution set of the inequalities $4 x+3 y \leq 60, y \geq 2 x, x \geq 3, x, y \geq 0$ is represented by region
$\mathrm{S}_2$ region
$\mathrm{S}_1$ region
$\mathrm{S}_3$ region
$\mathrm{S}_4$ region
Solution
Take a test point $(4,10)$ that lies within the $S_2$ region.
$\begin{aligned}
& \text { Since } 4(4)+3(10)=46 \leq 60,10 \geq 2(4)=8, \\
& 4 \geq 3,4 \geq 0,10 \geq 0
\end{aligned}$
$\therefore \quad$ The solution set is represented by $\mathrm{S}_2$ region.
