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Paul is considering a game where he may win $0, $25, $50, $75, or $100. Mary - a risk analyst - is trying to develop

Paul is considering a game where he may win $0, $25, $50, $75, or $100. Mary - a risk analyst - is trying to develop Paul's value function and figured out that Paul has smallest increment (change) in his 'happiness' between $75 and $100. If Mary uses this increment as a reference standard, then she figured out that Paul's incremental happiness between $0 and $25 is three times that between $75 and $100; the incremental happiness $25 and $50 is two times that between $75 and $100; and the incremental happiness between $50 and $75 is one and a half times that between $75 and $100. Graph Paul's value function

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