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State of Nature
the Following Table Displays the Payoffs (In

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State of Nature
The following table displays the payoffs (in thousands of dollars)for five different decision alternatives under three possible states of nature:  State of Nature  Alternative  I  Prob. =0.2 II  Prob. =0.3 III  Prob. =0.5 A $110$80$20 B $90$85$10 C $45$65$45 D $30$60$65 E $10$25$70\begin{array}{l}\text { State of Nature }\\\begin{array} { | c | c | c | c | } \hline \text { Alternative } & \begin{array} { c } \text { I } \\\text { Prob. } = \mathbf { 0 . 2 }\end{array} & \begin{array} { c } \text { II } \\\text { Prob. } = \mathbf { 0 . 3 }\end{array} & \begin{array} { c } \text { III } \\\text { Prob. } = \mathbf { 0 . 5 }\end{array} \\\hline \text { A } & \$ 110 & \$ 80 & - \$ 20 \\\text { B } & \$ 90 & \$ 85 & \$ 10 \\\text { C } & \$ 45 & \$ 65 & \$ 45 \\\text { D } & \$ 30 & \$ 60 & \$ 65 \\\text { E } & \$ 10 & \$ 25 & \$ 70 \\\hline\end{array}\end{array}
-Calculate the expected payoff with perfect information (in thousands of dollars).
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