Roger's Utility Function Is U = Min{a₁, A₂} Min{b₁, B₂}

question 54

Multiple Choice

Roger's utility function is U = min{a₁, a₂} min{b₁, b₂}, where a₁ and a₂ are the number of piano lessons he consumes this year and next and b₁ and b₂ are the number of ice skating lessons he consumes this year and next. The price of piano lessons is $10 each and the price of ice skating lessons is $4 each. The prices won't change, but the interest rate is 7%. If Roger consumes 20 piano lessons this year, how many ice-skating lessons will he consume next year?

• A) 50
• B) 20
• C) 40
• D) 30
• E) There is not enough information to be able to tell.

---

Definitions:

Demand Curves

A demand curve represents the relationship between the quantity of a good demanded and its price, typically showing an inverse relationship.

Shift Right

In economic terms, a shift to the right of a demand or supply curve represents an increase in demand or supply.

Remaining Firms

The number of businesses that continue to operate in a market after others have exited, often in response to economic conditions or competitive pressures.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded by consumers at those prices.