Maximize $\displaystyle f(x,y)= 2x+y$

subject to

$\displaystyle 2x-y-8 \leq 0$

$\displaystyle x+2y-14 \leq 0$

$\displaystyle -x+y-4 \leq 0$

$\displaystyle -x \leq 0$

$\displaystyle -y \leq 0$

a)with Graphical method of Linear programming

b)with Simplex method of Linear programming

Thnak you in advance.