When Sylvio's Special Social Club charges its members $100 dollars in annual dues, he gets 30 members to join. For every $10 he lowers the dues, he gets an additional 15 people to join the club. a) How much money does Sylvio collect in dues when he charges $100? $90? $80?. b) Use an equation to determine the maximum amount of money Sylvio can collect in dues. c) What price should he charge to attain this maximum value? How many people are in his club when he charges this price?