The table shows the utility Tia receives at various income levels, but she does not know what her income will be next year. There is a 10% chance her income will be $20,000, a 30% chance her income will be $30,000, and a 60% chance her income will be $40,000. We know that Tia is risk-averse because:

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.7P
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I thought the answer was A but it is wrong. I am super confused, thank you!

The table shows the utility Tia receives at various income levels, but she does not know what her income will be next
year. There is a 10% chance her income will be $20,000, a 30% chance her income will be $30,000, and a 60% chance
her income will be $40,000. We know that Tia is risk-averse because:
Table: Utility and Income Levels for Tamara
Income Level
Utility Level (utils)
$20,000
2,500
25,000
26,516
28,000
29,000
30,000
3,000
3,144
31,000
35,000
40,000
3,270
3.350
3,420
3,480
3,680
3,880
her expected income is less than what she may actually earn.
she would prefer $40,000, but there is a risk she will make only $20,000.
she experiences diminishing marginal utility of income.
her expected income is more than what she may actually earn.
Transcribed Image Text:The table shows the utility Tia receives at various income levels, but she does not know what her income will be next year. There is a 10% chance her income will be $20,000, a 30% chance her income will be $30,000, and a 60% chance her income will be $40,000. We know that Tia is risk-averse because: Table: Utility and Income Levels for Tamara Income Level Utility Level (utils) $20,000 2,500 25,000 26,516 28,000 29,000 30,000 3,000 3,144 31,000 35,000 40,000 3,270 3.350 3,420 3,480 3,680 3,880 her expected income is less than what she may actually earn. she would prefer $40,000, but there is a risk she will make only $20,000. she experiences diminishing marginal utility of income. her expected income is more than what she may actually earn.
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