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

Minimize C $=14$x $+7$y $+8$z

subject to $6$x $+12$y $+19$z $>=64$

$17$x $+24$y $+9$z $>=128$

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$?$

What is the minimum value of the objective function?