The following payoff matrix represents a non-sequential, non-repeating game: Carlton Inc. Strategy X Strategy Y Strategy Z 90 80 70 Strategy 1 100 400 600 20 Brown Inc. 40 30 Strategy 2 800 200 300 10 60 50 Strategy 3 500 700 900 a) Name the maximax equilibrium, if any. (If there is no maximax equilibrium, then please type 'there is no maximax equilibrium.") b) Name the maximin equilibrium, if any. (If there is no maximin equilibrium, then please type 'there is no maximin equilibrium.") c) Name the Nash equilibrium, if any. (If there is no Nash equilibrium, then please type 'there is no Nash equilibrium.") d) Name the cooperative (collusive) equilibrium, if any. (If there is no cooperative equilibrium, then please type 'there is no cooperative equilibrium.") e) Name Brown Inc.'s dominant strategy, if any. (If Brown Inc. has no dominant strategy, then please type 'Brown Inc. has no dominant strategy.") f) Name Carlton Inc.'s dominant strategy, if any. (If Carlton Inc. has no dominant strategy, then please type 'Carlton Inc. has no dominant strategy!")