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My Daughter Has Saved Her Money All Year to Buy $35\$ 35

Question 29

Multiple Choice

My daughter has saved her money all year to buy new rollerblades. The best way to describe her preferences are reference dependent - she will be sad if the price is more than $35\$ 35 because she will not be able to afford them, but she will also be sad if the price is less than $35\$ 35 because she missed out on buying them last month and cannot use the money for anything else. Her utility function can be written as U(x,p,ε) =x+z(p,ε) U(x, p, \varepsilon) =x+z(p, \varepsilon) , where x=1\mathrm{x}=1 if she buys the rollerblades and 0 otherwise, p\mathrm{p} is the price of the rollerblades and ε\varepsilon is her reference point. Which of the following functions for z(p,ε) z(p, \varepsilon) best describes the scenario above?


A) z(p,ε) =(35p) z(p, \varepsilon) =(35-p) .
B) z(p,ε) =p35z(p, \varepsilon) =|p-35| .
C) z(p,e) =xpz(p, e) =|x-p| .
D) z(p,e) =(xp) 2z(p, e) =(x-p) ^{2} .

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