Betsy Pitzer makes decisions according to Bayes€™ decision rule. For her current problem, Betsy has constructed the following payoff table (in units of dollars):

(a) Which alternative should Betsy choose?
(b) Find EVPI.
(c) What is the most that Betsy should consider paying to obtain more information about which state of nature will occur?

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State of Nature Alternative AT Аз Prior probability S1 50 0 20 100 10 40 -100 -40 0.2 10 0.5 0.3