A sports stadium sells season tickets to two types of fans: avid fans, whose demand curve is QA $=6-1/10$ PA$,$ and casual fans whose demand curve is QC $=15-1/2$ PC$.$ The sports stadium knows that their costs of production are given by TC$($Q$)=10$Q$,$ how many tickets will they sell to each type of fan? What price would they set in each market?