Find a solution to the following linear program using the graphical technique:

minz$=4x_1+6x_2$

$s.t\frac{1}{2}{x}_1+,x_2,,4$

$x_1,-,\frac{2}{3}{x}_{2}6$

$x_1,,0$

$x_2,,0$

a$)$ Graph the problem and shade in the feasible region. Label the axes and

all constraints.

b$)$ What are the $x_1$ and $x_2$ coordinates of the optimal solution$($s$)?$

c$)$ What is the z$-$value of the optimal solution$($s$)?$

Find a solution to the following linear program using the graphical technique:

minz$=4x_1+6x_2$

$s.t\frac{1}{2}{x}_1+,x_2,,4$

$x_1,-,\frac{2}{3}{x}_{2}6$

$x_1,,0$

$x_2,,0$

a$)$ Graph the problem and shade in the feasible region. Label the axes and

all constraints.

b$)$ What are the $x_1$ and $x_2$ coordinates of the optimal solution$($s$)?$

c$)$ What is the z$-$value of the optimal solution$($s$)?$