The graphical solution set of the system of in equations $\mathrm{x}+\mathrm{y} \leq 70, \mathrm{x}+2…
The graphical solution set of the system of in equations $\mathrm{x}+\mathrm{y} \leq 70, \mathrm{x}+2 \mathrm{y} \leq 100,2 \mathrm{x}+\mathrm{y} \leq 120, \mathrm{x} \geq 0, \mathrm{y} \geq 0$ is given by
Fig.2
Fig.1
Fig.4
Fig.3
Solution
$\because \mathrm{x}+\mathrm{y} \leq 70, \mathrm{x}+2 \mathrm{y} \leq 100$ and $2 \mathrm{x}+\mathrm{y} \leq 120$ all are satisfied by $(0,0)$
Hence, we should take common side containing the origin which is represented by fig. 3
