Recall Bob and Ray in Problem 4

question 16

Multiple Choice

Recall Bob and Ray in Problem 4. They are thinking of buying a sofa. Bob's utility function is U_B(S, M_B) = (1 + S) M_B and Ray's utility function is U_R(S, M_R) = (4 + S) M_R, where S = 0 if they don't get the sofa and S = 1 if they do and where M_B and M_R are the amounts of money they have respectively to spend on their private consumptions. Bob has a total of $800 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

• A) $1,000.
• B) $1,200.
• C) $1,800.
• D) $650.
• E) $2,400.

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Definitions:

Final Payment

The last payment made to settle the balance of a financial obligation, such as a loan or mortgage.

Borrower

An individual, company, or institution that receives funds from a lender under the condition of paying back the borrowed amount plus interest.

Compounded Monthly

Interest calculated monthly on the principal sum plus previously earned interest.

Equal Payments

Regularly scheduled payments of the same amount, common in loans and amortization plans.