Q2: Consider the following decision tree, where the probabilities associated with the branches emanating from each event node are shown in parentheses. The dollar amount given next to each branch is the cash flow generated along that branch, 1) Calculate the total net cash flow for each branch and write it to the right of each terminal branch. Use these monetary values to analyze the decision tree. Then determine the value of X for which the decision maker is indifferent between decision alternatives A1 and A2. 2) The decision maker has a utility function U(y) = y^(1/3) where y is the total net cash flow after a terminal branch (you calculated above). Calculate the utility function for each branch. Use these utilities to analyze the decision tree. Then determine the value of X for which the decision maker is indifferent between decision alternatives A1 and A2. A1 -$241 (50%) +$290 (50%) +$690 -$500 (40%) -$541 (60%) +$2041 A2 $X $X = $X^(1/3) =
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For A1: - Branch 1: $(0.5)(5290) = 2645$ - Branch 2: $(0.5)(5241) = 2620.5$ For A2: - Branch 1: $(0.4)(5690) = 2276$ - Branch 2: $(0.4)(5541) = 2216.4$ - Branch 3: $(0.6)(5200 + X) = 3120 + (0.6)X$ 2) Show more…
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