=9.10. 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.

State of Nature Alternative S1 S2 S3 A1 2x 50 10 A2 25 40 90 A3 35 3x 30 Prior probability 0.4 0.2 0.4 State of Nature Alternative S1 S2 S3 A1 4 0 0 A2 0 2 0 A3 3 0 1 Prior probability 0.2 0.5 0.3 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?