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Jessica gets 3 CDs for Christmas, but they are currently useless to her because ...

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Jessica gets 3 CDs for Christmas, but they are currently useless to her because she doesn’t have any CD player and she cannot return them for a refund (these 3 CDs are the only CDs she has). Her utility function is U(x, y, z) = x + f(y)z2, where z is the number of CDs she has, y is the number of CD players she has, and x is the money she has to spend on other stuff. Let f(y) = 0 if y < 1 and f(y) = 6 otherwise. What is the maximum amount Jessica would be willing to pay for the CD player?

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