Question

In: Statistics and Probability

An individual makes decisions according to Bayes’ decision rule. For her current problem, she has constructed...

An individual makes decisions according to Bayes’ decision rule. For her current problem, she has constructed the following payoff table, and she now wishes to maximize the expected payoff.

Alternative

State of Nature

        q1        q2        q3

a1

3x 40        10

a2

35 50        90

a3

25 2x        30

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 that should be spent to increase x to 75?

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