Sevilla and Rome are playing in the UEFA Cup Final. Both coaches must chose between defensive, balanced and offensive play strategies. The following matrix summarizes net goals for Sevilla as a function of the different strategies available to each team. RA RB RD 1 -2 2 1 SA SB SD 0 -3 2 (SA means Sevilla plays aggressively, Rp means Rome plays defensively, and so on) Determine the optimal strategy by solving the associated linear programming model.