Wilshaw Associates is considering launching an entirely new service. If the market reaction to this service is good (which has a probability of 0.2) they will make $30,000 a month; if market reaction is medium (with probability 0.5) they will make $10,000; and if reaction is poor (with probability 0.3) they will lose $15,000 a month. Wilshaw can run a survey to test market reaction with results A, B or C.
Experience suggests that the reliability of such surveys is described by the following matrix of P(A/good), P(A/medium), etc. Use a decision tree to find the most that Wilshaw should pay for thissurvey.

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Results Market reaction good medium 0.7 0.2 0.1 0.2 0.6 0.4 0.1 0.2 0.5 poor