Economics Homework Help- Uncertainty/ Utility Function?

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Maryterese has found what she thinks may be a famous Greek statue. It costs $5,000. She thinks there's a 60 percent chance it's real, and if she buys it, she can resale it at $75,00, which would profit her $2,500. If she buys the statue and it turns out to be a fake, it will be worthless and she'll lose $5, 000. Her current income is $10,000. Her utility function is U(Y) = (100 + 0.01Y)1/2 = ?(100 + 0.01Y).
(a) Calculate Maryterese's expected utility of purchasing the statue.

(b) Maryterese knows an art appraiser down the street. If the statue turns out to be real, she can sell it for a sure $2,500 profit. Calculate Maryterese's expected utility of going to the appraiser.

(c) What's the most she'd be willing to pay the appraiser for information on the authenticity of the statue?
 
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