Suppose that a decision maker's utility as a function of her wealth, x, is given by U(x) = In (2x) (where In is the natural logarithm). The decision maker now has $10,000 and two possible decisions. For Alternative 1, she loses $1000 for certain. For Alternative 2, she gains $500 with probability 0.3 and loses $2,000 with probability 0.7. Which alternative should she choose and what is her expected utility (rounded to 2 decimals)? a. She should choose Alternative 2. Her expected utility is 9.90. b. She is indifferent between both alternatives. O c. She should choose Alternative 1. Her expected utility is 9.10. d. She should choose Alternative 1. Her expected utility is 9.80.

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Suppose that a decision maker's utility as a function of her wealth, x, is given by U(x) = In (2x) (where In is the
natural logarithm).
The decision maker now has $10,000 and two possible decisions. For Alternative 1, she loses $1000 for certain. For
Alternative 2, she gains $500 with probability 0.3 and loses $2,000 with probability 0.7. Which alternative should she
choose and what is her expected utility (rounded to 2 decimals)?
a. She should choose Alternative 2. Her expected utility is 9.90.
b. She is indifferent between both alternatives.
c. She should choose Alternative 1. Her expected utility is 9.10.
O d. She should choose Alternative 1. Her expected utility is 9.80.
Transcribed Image Text:Suppose that a decision maker's utility as a function of her wealth, x, is given by U(x) = In (2x) (where In is the natural logarithm). The decision maker now has $10,000 and two possible decisions. For Alternative 1, she loses $1000 for certain. For Alternative 2, she gains $500 with probability 0.3 and loses $2,000 with probability 0.7. Which alternative should she choose and what is her expected utility (rounded to 2 decimals)? a. She should choose Alternative 2. Her expected utility is 9.90. b. She is indifferent between both alternatives. c. She should choose Alternative 1. Her expected utility is 9.10. O d. She should choose Alternative 1. Her expected utility is 9.80.
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