Please solve this problem step by step; including an appropriate payoff matrix, using the meximax criterion, identify the optimal decision, using the maximin criterion, identify the optimal decision, using the minimax regret criterion, identify the optimal decision, using the EMV criterion, identify the optimal decision, using the expected regret criterion, identify the optimal decision and veify that it is the same one identified above, grow a decision tree for the problem and prune it using the EMV criterion