Tashi can knit $12$ pairs of mittens per day or $18$ scarves per day. Sonam can knit $8$ pairs of mittens per day or $16$ scarves per day.

Suppose Tashi and Sonam teamed up$,$ and $14$ mittens are required in total in a day. What is the maximum number of scarves they could produce in total in a day if they followed the principle of comparative advantage?