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.
-What is the expected value of perfect information?

A) 40
B) 45
C) 75
D) 85
E) 100