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1. The Eurostar is a high-speed train that travels between London, Brussels, and Paris. There are 30 cars on each departure. Each train car is designated first class or second class. Based on demand for each type of fare, there should always be at least two but no more than four first- class train cars. The management wants to claim that the ratio of first- class to second-class cars never exceeds 1:8. If the profit on each first- class train car is twice as much as the profit of each second-class train car, find the number of each class of train car that will generate a maximum profit.

1. The Eurostar is a high-speed train that travels between London, Brussels, and Paris. There are 30 cars on each departure. Each train car is designated first class or second class. Based on demand for each type of fare, there should always be at least two but no more than four first- class train cars. The management wants to claim that the ratio of first- class to second-class cars never exceeds 1:8. If the profit on each first- class train car is twice as much as the profit of each second-class train car, find the number of each class of train car that will generate a maximum profit.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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1. The Eurostar is a high-speed train that travels between London, Brussels, and Paris. There are 30 cars on each departure. Each train car is designated first class or second class. Based on demand for each type of fare, there should always be at least two but no more than four first- class train cars. The management wants to claim that the ratio of first- class to second-class cars never exceeds 1:8. If the profit on each first- class train car is twice as much as the profit of each second-class train car, find the number of each class of train car that will generate a maximum profit.
Transcribed Image Text:1. The Eurostar is a high-speed train that travels between London, Brussels, and Paris. There are 30 cars on each departure. Each train car is designated first class or second class. Based on demand for each type of fare, there should always be at least two but no more than four first- class train cars. The management wants to claim that the ratio of first- class to second-class cars never exceeds 1:8. If the profit on each first- class train car is twice as much as the profit of each second-class train car, find the number of each class of train car that will generate a maximum profit.
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