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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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