Microeconomics
Microeconomics
11th Edition
ISBN: 9781260507140
Author: David C. Colander
Publisher: McGraw Hill Education
Question
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Chapter 20, Problem 4IP

(a)

To determine

The reason for the highest bid was less than or greater than a dollar when dollar was auctioned off.

(b)

To determine

Ability of a rational player ever loses the auction once he started bidding.

(c)

To determine

The rationality to begin bidding.

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Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows. Rental Class Super Saver Deluxe Business Room Type I Type II $30 $35 $20 $30 $40 Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 140 rentals in the Super Saver class, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 100 Type I rooms and 120 Type II rooms. (a) Formulate and solve a linear program to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types. (Assume S₁ is the number of Super Saver rentals allocated to room type I, S₂ is the number of Super Saver…
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