Suppose that a decision-maker faced with four decision alternatives and four states of nature develops the following profit payoff table: States of Nature Decision Alternative si S2 S3 di 840,000 440,000 190.000 d2 370,000 220,000 670,000 d3 50,000 115,000 25,000 a) If the decision maker knows nothing about the probabilities of the four states of nature, what is the recommended decision using the optimistic (maximax), conservative (maximin), and minimax regret approaches? b) Assume that the payoff table provides cost rather than profit payoffs. What is the recommended decision using the optimistic, conservative, and minimax regret approaches