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2. (4 points total) Sue loves going to the opera (payoff = 100 utils) and hates going to rock concerts (payoff = -100 utils). Tom loves going to rock concerts (payoff = 100 utils) and hates going to the opera (payoff = -100 utils). However, both Sue and Tom prefer to go out together: each receives an additional 150 utils if they attend the same event. If Sue and Tom go out alone to separate events, they receive no additional utility. This game is played only once. (2 points) Construct the payoff matrix for the game that Sue and Tom play. Sue Opera Rock Sue: Sue: Opera Tom: Tom: Tom Sue: Sue: Rock Tom: Tom: (2 points) Find and identify any and all Nash equilibria. How many are there? Explain how you arrived at your answer. Answers that state the result without any further explanation will not receive credit. I do not need a lengthy answer, but I need enough to demonstrate that you understand what a Nash equilibrium is and how the model works