Sam's Utility Function Is U(x, Y) = 2x + Y

question 24

Multiple Choice

Sam's utility function is U(x, y) = 2x + y, where x is the number of x's he consumes per week and y is the number of y's he consumes per week. Sam has $200 a week to spend. The price of x is $4. Sam currently doesn't consume any y. Sam has received an invitation to join a club devoted to the consumption of y. If he joins the club, Sam can get a discount on the purchase of y. If he belonged to the club, he could buy y for $1 a unit. How much is the most Sam would be willing to pay to join this club?

• A) Nothing
• B) $100 a week
• C) $50 a week
• D) $40 a week
• E) None of the above.

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Definitions:

Redemption Value

The value at which a bond or other debt instrument can be redeemed before its maturity by the issuer.

Compound-Interest GIC

A Guaranteed Investment Certificate (GIC) where interest is compounded periodically and added to the principal balance, leading to interest earnings on interest.

Maturity Value

The amount that will be payable to the holder of a financial instrument at the date of its maturity, incorporating the principal and any interest earned.

Dollar Amount

A specific sum of money expressed in units of the currency of the United States or another country.