(20 pоints) An Americаn spоrts teаm is plаnning friendly matches against rival teams in preparatiоn for the World Cup. The team should play at least 3 of the following teams. The team does not want to play more than one match in any particular month. The team also wants to play at least one "budget friendly team," where the cost per player to travel is at most $800. The team should play Spain only if they play France. If the team plays Morocco, they also need to play Canada or Argentina. Formulate an integer program to find the sports team schedule that minimizes total cost per player. (Because the team plans to send the same number of players to every match, this is equivalent to minimizing total cost.)