In Problem 10 , if one of the students takes the risky job, how much more would the fruit picking job have needed to pay to attract that student?

Two students, Jim and Kim, are offered summer jobs managing a student house-painting business.
There is a 50 percent chance that either of them will be successful and end up with $21,000 of wealth to get them through the next school year.
But there is also a 50 percent chance that either will end up with only $3,000 of wealth.
Each could take a completely safe but back-breaking job picking fruit that would leave them with a guaranteed $9,000 at the end of the summer.
The table in the next column shows Jim’s and Kim’s utility of wealth schedules.

Problem 10

Does anyone take the painting job? If so, who takes it and why? Does anyone take the job picking fruit? If so, who takes it and why?

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Wealth 0 3,000 6,000 9,000 12,000 15,000 18,000 21,000 Jim's utility 0 100 200 298 391 482 572 660 Kim's utility 0 200 350 475 560 620 660 680