b$.(6$ points$)$ Consider the following problem, where $C_{ij}\text{'}$s are provided as parameters. How many decision variables are in this problem? How many functional constraints are there?

max,${\displaystyle \underset{i=1}{\overset{4}{}}}{y}_i+20$

$s.t.i=1,$dots,$5$

$y_i={\displaystyle \underset{j=1}{\overset{6}{}}}{w}_{ij}$

$w_{ij}{C}_{ij}$

$w_{ij}-y_i=\frac{1}{2}{C}_{ij},i=1,$dots,$5,j=1,$dots,$6$

$y_{i}0,i=1,$dots,$5,j=1,$dots,$6$

$i=1,$dots,$5$

$i=1,$dots,$5$

$i=1,$dots,$5,j=1,$dots,$6$

$i=1,$dots,$5,j=1,$dots,$6$

$i=1,$dots,$5$

i$.(3$ points$)$ How many decision variables are there in this problem?

ii$.(3$ points$)$ How many functional constraints are there $($excluding non$-$negativity constraints$)?$