Find the optimal solution for the following problem.

$($

Round your answers to

$3$

$$decimal places.

$)$

$$

$$

Maximize C

$=$

$1$

$2$

x

$+$

$4$

y

subject to

$1$

$1$

x

$+$

$1$

$3$

y

$<$

$=$

$2$

$0$

$$

$1$

$4$

x

$+$

$1$

$8$

y

$<$

$=$

$3$

$4$

and x

$>$

$=$

$0$

$,$

$$y

$>$

$=$

$0$

$.$

$$

What is the optimal value of y

$?$