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 12 teams it needs to arrange rooms for at 8 possible hotels. All of a team's rooms must be at the same hotel. 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: Formulate a model (decision variables, objective function, and constraints) for the agency to reserve rooms for as many teams as possible, according to their needs. Define your decision variables, formulate your objective function and constraints. Please write the