#$1$

Consider the following linear program with two decision variables, $x_1$ and $x_2.$

max,$x_1,+x_2,$

$s.t.$

$,3x_1+2x_2,120$

$,x_1+2x_2,60$

$,15$

$,x_2,25$

$,x_2,0$

Use the graphical solution method to determine the optimal solution and the associated objective

function value.