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

question 26

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.

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Definitions:

Incremental Manufacturing Cost

The extra expense associated with manufacturing an additional unit of a product.

Contribution Margin

The amount remaining from sales revenue after variable expenses are subtracted, contributing towards covering fixed costs and profit.

Variable Selling Expenses

Costs that fluctuate with the level of sales, such as commissions or shipping fees.

Variable Administrative Expenses

Expenses that vary with the level of business activity, such as sales commissions or supply costs.