At a price of p dollars per ticket, the number of tickets that can be sold for a rock concert is given by the demand curve Q = 30p+7,900. At a price of p dollars per ticket, the number of tickets that the concert's promoters are willing to make available is given by the supply curve Q = 10p+6,700.
a. How many tickets can be sold and supplied for $55 per ticket?
b. Find the ticket price at which the quantity of tickets supplied equals the quantity demanded. At this price, how many tickets will be supplied and sold?