There Is an Option of Paying $100 to Have Research

Multiple Choice

There is an option of paying $100 to have research done to better predict which state of nature will occur.When the true state of nature is S1,the research will accurately predict S1 60% of the time.When the true state of nature is S2,the research will accurately predict S2 80% of the time.
-Given that the research is not done,what is the expected payoff using Bayes' decision rule?

A) 0
B) 29
C) 40
D) 75
E) 100