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

question 27

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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 $3, and Island Bikes has no fixed costs. Each day Island Bikes has six potential customers, whose reservations prices are listed below.  Customer  Reservation Price  ($/Rental)  A22B16C12D8E6F4\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 charges different price in the morning and in the afternoon, then what will be its daily economic profit?


Definitions:

Short-rate Refund

A method of calculating the refund amount a policyholder receives if they cancel their insurance policy before it expires, which may include a penalty.

Premium Rate

The rate charged for an insurance policy, reflecting the cost of coverage.

Annual Premium

The annual premium is the total amount paid for an insurance policy in a year, covering the policyholder for a specified term.

Coinsurance Clause

An insurance policy clause specifying that, if a property is not insured up to a certain percentage of its value, the owner is the bearer of part of the insurance and will not be covered for the full amount of damages.

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