Find the optimal solution for the following problem. $($Round your answers to $3$ decimal places.$)$

Maximize C $=12$x $+5$y $+10$z

subject to $5$x $+13$y $+20$z $<=65$

$16$x $+22$y $+8$z $<=130$

and x $>=0,$ y $>=0,$ z $>=0.$ What is the optimal value of x$?$

What is the optimal value of y$?$

What is the optimal value of z$?$