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 in the table.
$$\begin{array} { | c | c | }
\hline \text { Custamer } & \begin{array} { c }
\text { Reservetion Price } \
\text { (\$ /Rental) }
\end{array} \
\hline \mathrm { A } & 22 \
\hline \mathrm { B } & 16 \
\hline \mathrm { C } & 12 \
\hline \mathrm { D } & \mathrm { 8 } \
\hline \mathrm { E } & 6 \
\hline \mathrm { F } & 4 \
\hline
\end{array}$$ 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

Question

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 in the table.  
$$\begin{array} { | c | c | } 
\hline \text { Custamer } & \begin{array} { c } 
\text { Reservetion Price } \
\text { (\$ /Rental) }
\end{array} \
\hline \mathrm { A } & 22 \
\hline \mathrm { B } & 16 \
\hline \mathrm { C } & 12 \
\hline \mathrm { D } & \mathrm { 8 } \
\hline \mathrm { E } & 6 \
\hline \mathrm { F } & 4 \
\hline
\end{array}$$ 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

Quizplus · Accepted Answer

Island Bikes will rent out bikes to customers A, B, and C in the morning because their reservation prices are at least $10 and they prefer to rent bikes before noon. The firm will charge $12 per bike, which is the reservation price of customer C, the customer with the lowest reservation price among those willing to rent in the morning. This ensures all customers willing to rent in the morning (A, B, and C) will do so at a price above the marginal cost of $3, maximizing profits for those three rentals.

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