Hire-a-Car System rents three types of cars at two different locations. The profit contribution made per day for each car type at each location is listed below. Car Type Location Economy Mid-size Luxury A $25 $40 $10 B $30 $35 $45 The management forecasts the demand per day by car type as follows: 125 rentals for Economy cars, 55 rentals for Mid-size cars, and 40 rentals for Luxury cars. The vehicle capacity of each location is 100 cars in location A and 120 cars in location B. Develop a linear programming model to maximize profit and determine how many reservations each location should accept for each type of car. Is the demand for any car type not satisfied? Explain
Hire-a-Car System rents three types of cars at two different locations. The profit contribution made per day for each car type at each location is listed below. Car Type Location Economy Mid-size Luxury A $25 $40 $10 B $30 $35 $45 The management forecasts the demand per day by car type as follows: 125 rentals for Economy cars, 55 rentals for Mid-size cars, and 40 rentals for Luxury cars. The vehicle capacity of each location is 100 cars in location A and 120 cars in location B. Develop a linear programming model to maximize profit and determine how many reservations each location should accept for each type of car. Is the demand for any car type not satisfied? Explain
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hire-a-Car System rents three types of cars at two different locations. The profit contribution made per day for each car type at each location is listed below.
|
Car Type |
|||
|
Location |
Economy |
Mid-size |
Luxury |
|
A |
$25 |
$40 |
$10 |
|
B |
$30 |
$35 |
$45 |
The management forecasts the demand per day by car type as follows: 125 rentals for Economy cars, 55 rentals for Mid-size cars, and 40 rentals for Luxury cars. The vehicle capacity of each location is 100 cars in location A and 120 cars in location B.
Develop a linear programming model to maximize profit and determine how many reservations each location should accept for each type of car. Is the demand for any car type not satisfied? Explain.
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