agency has to be profitable.

A youth soccer club has contracted with Holiday Helpers, a local travel agency, to broker hotel rooms for out-of-town teams that have entered the club's Labor Day weekend soccer tournament. The agency has 10 teams it needs to arrange rooms for at 7 possible hotels. The following tables show the number of rooms each team needs, the number of rooms available at each hotel, the room rate at each hotel, and the maximum room rate each team wants to pay: Maximum Rooms Room Rooms Team Rate Needed Hotel rate available Arsenal 110 Bates Bees Hampson Comets Harriott Hurricanes Holiday Rapids Marks Stars Roadside Storm Tilton Strikers Tigers United Wildcats All of a team's rooms must be at the same hotel. Formulate a model (decision variables, objective function, and constraints) for the agency to reserve rooms and maximize profit