(Decision Theory) A manager has developed a payoff table that indicates the Costs associated with a set of alternatives under two possible states of nature. State of Nature Alternative $2 1-P (P1 0.7) 53 517 3Pi+ 17-17P= 17-14 56 512 GR+ 12-12P - 12-OF 9.2 54 18p+ 4-49-4+1 (5) If you are pessimistic, which alternative is chosch?) (6) If you are optimistic, which alternative is chosen? (7) If the "Laplace criterion" is used, which alternative is chosen? & What is the regret for alternative under $17 0 19-14 (9) What is the regret for alternative /under $27 , (10) If the "MiniMax regret" is used, which alternative is chosen? (7 (1 1) Under risk environment, which alternative is chosen? (12) What is the expected value of perfect information (EVPI)? 45 (13) What is the range of p, for which alternative f would be optimal