Consider the following linear program with two decision variables,

x

$1$

$$and

x

$2$

$.$

ma

$\backslash$times

$1$

$+$

x

$2$

$$

s

$.$

t

$.$

$$

$3$

x

$1$

$+$

$2$

x

$2$

$<=$

$120$

x

$1$

$+$

$2$

x

$2$

$<=$

$60$

x

$1$

$>=$

$15$

x

$1$

$,$

$<=$

$25$

x

$2$

$>=$

$0$

Use the graphical solution method to determine the optimal solution and the associated objective function value.