They Are Thinking of Buying a Sofa

question 13

Multiple Choice

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) = (2 + 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 $2,000 to spend on the sofa and other stuff.Ray has a total of $3,000 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)$3,000.
• B)$1,500.
• C)$2,000.
• D)$1,050.
• E)$4,000.

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Definitions:

Population Parameter

A population parameter is a numerically fixed characteristic or measure of an entire population, such as mean or variance.

Standard Normal Distribution

A normal distribution with a mean of zero and a standard deviation of one, used as a reference in statistical analysis.

Confidence Interval

A continuum of figures obtained from a sample's statistics, likely to envelop the value of an unknown population characteristic.

Population Proportion

The fraction of individuals in a population having a particular attribute, representing a particular kind of population parameter.