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Recall Bob and Ray in Problem 4

question 5

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Recall Bob and Ray in Problem 4. They are thinking of buying a sofa. Bob's utility function is UB(S, MB) = (1 + S) MB and Ray's utility function is UR(S, MR) = (3 + S) MR, where S = 0 if they don't get the sofa and S = 1 if they do and where MB and MR are the amounts of money they have respectively to spend on their private consumptions. Bob has a total of $1,200 to spend on the sofa and other stuff. Ray has a total of $4,000 to spend on the sofa and other stuff. The maximum amount that they could pay for the sofa and still arrange to both be better off than without it is


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