Barbara Miller makes decisions according to Bayes' decision rule. For her current problem, Barbara has constructed the following payoff table (in units of hundreds of dollars) and she now wishes to maximize the expected payoff.

The value of x currently is 50, but there is an opportunity to increase x by spending some money now.
What is the maximum amount Barbara should spend to increase x to 75?

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State of Nature S2 Alternative S, S3 A, Az A3 2x 50 10 25 40 90 35 Зх 30 Prior probability 0.4 0.2 0.4