Jefferson City has decided to invite an orchestra to play in the city's museum. Your job is to calculate the cost of an individual ticket in order for the city to break even on sales. The city estimates that their total fixed costs are $300,000. The variable cost is $20 per ticket. 

 

(a) If the city sets the price of the ticket at $75, how many tickets does the city need to sell in order to break even? 

(b) If the city sets the price of the tickets at $50, how many tickets does the city need to sell in order to break even?