Suppose Island Bikes, a Profit-Maximizing Firm, Is the Only Bike

question 132

Multiple Choice

Suppose Island Bikes, a profit-maximizing firm, is the only bike rental company in a small resort town. The marginal cost to Island Bikes of renting out a bike is $3, and Island Bikes has no fixed costs. Each day Island Bikes has six potential customers, whose reservations prices are listed below. $$\begin{array} { | c | c | } \hline \text { Customer } & \begin{array} { c } \text { Reservation Price } \\\text { (\$/Rental) }\end{array} \\\hline \mathrm { A } & 22 \\\hline \mathrm { B } & 16 \\\hline \mathrm { C } & 12 \\\hline \mathrm { D } & 8 \\\hline \mathrm { E } & 6 \\\hline \mathrm { F } & 4 \\\hline\end{array}$$ Suppose Island Bikes knows that customers whose reservation prices are at least $10 always rent bikes before noon, while those whose reservation prices are below $10 never do so. If Island bikes can charge a different price in the morning and in the afternoon, then in the morning, it will rent out ______ bike(s) and charge ______ per bike.

• A)1; $22
• B)2; $16
• C)3; $12
• D)4; $8

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Definitions:

Market Portfolio

A hypothetical collection of all market assets, each proportioned by its market value.

Betas

An evaluation measure for the volatility or inherent risk present in a security or portfolio in comparison to the total market.

Treynor Measure

A performance metric for determining how well an investment compensates the investor for taking risk, calculated as the excess return over the risk-free rate relative to the beta of the portfolio.