WK Qu$.5-4$ Find the optimal solution for the following...

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

Maximize $c=,18x+23y+10z$

subject $to14x+16y+23z56$

$,9x+0y+7z112$

and $x0,y0,z0$

a$.$ What is the optimal value of $x?$

b$.$ What is the optimal value of $y?$

c$.$ What is the optimal value of $z?$

d$.$ What is the maximum value of the objective function?

Maximum value