Solve the following linear programming problems using the graphical method, simplex method, and MATLAB $($both the MATLAB scripts and outputs are required$).$

a$)$

max,$2x_1+x_2$

subject $to{x}_1+x_{2}9$

$,0x_{1}5,0x_{2}7$

b$)$

min,$x_1+x_2$

subject $to{x}_1+2x_{2}3$

$,2x_1+x_{2}3$

$,0x_1,x_2$