Please show/explain work and answer all parts

Plainview Arts Center is planning a fundraising dinner. The event will be held in a city park. The city will charge $1,000 for use of the space, and private security will be hired for $400. $1,500 will be spent on advertising. A local band will be hired. The band will be paid $600 plus 12% of ticket sales. Dinner will be catered buffet style, and will cost $25/person (gratuities optional for guests). Ticket price will be $90. Required: a) How many tickets must be sold to break even? b) What will be the profit if 120 tickets are sold? c) An alternative plan has been proposed, to hold a banquet style dinner at a good hotel. Ticket price would be $150. The hotel would provide the banquet at a costs of $60/guest, plus mandatory 20% gratuity. There would be no rent or security costs, and advertsing cost would remain the same. There would be no band; instead, a local television celebrity would be hired for $2,200 to serve as master of ceremonies. If this plan were adopted, how many tickets would have to be sold to earn the same profit as computed in (b) above