The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. The probabilities for the states of nature are P(s1)=0.65,P(s2)=0.15, and P(s3)=0.20. (a) What is the optimal decision strategy if perfect information were available? If s1 then ; If s2 then if s3 then (b) What is the expected value for the decision strategy developed in part (a)? (c) Using the expected value approach, what is the recommended decision without perfect information? What is its expected value? The recommended decision without perfect information is EV= (d) What is the expected value of perfect information? EVPI=