A company produces four products in its production facility. The facility has four departments labeled A$$D$.$ The routing information, production quantities, and volumes

for each product are given in the table below.

Production Volume

Quantities $($compared to

Product $($per day$)$ Routing Product $1)$

$115$ B$-$A$-$D$-$C$-$A $1$

$220$ A$-$D$-$C$-$B $1$

$314$ A$-$C$-$D$-$B $2$

$410$ B$-$A$-$C$-$D $0\mathrm{.}5$