The decision maker has utility function U(x) = 2 ln(x). With 50% probability x=20 and with 50% x=100. The decision maker can buy insurance. For each unit of insurance they buy the get $1 if x=20 realizes. A unit of insurance costs $0.75. How many units of insurance does the decision maker buy?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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The decision maker has utility function U(x) = 2 ln(x). With 50% probability x=20 and with
50% x=100. The decision maker can buy insurance. For each unit of insurance they buy the get
$1 if x=20 realizes. A unit of insurance costs $0.75. How many units of insurance does the
decision maker buy?
80/3
40
40/3
20
O None of the answers is correct.
Transcribed Image Text:The decision maker has utility function U(x) = 2 ln(x). With 50% probability x=20 and with 50% x=100. The decision maker can buy insurance. For each unit of insurance they buy the get $1 if x=20 realizes. A unit of insurance costs $0.75. How many units of insurance does the decision maker buy? 80/3 40 40/3 20 O None of the answers is correct.
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