A cruise line sells tickets to two kinds of passengers, luxury and economy class. Suppose that economy passengers pay $ 400 per ticket, while luxury passengers pay $ 800. The cost (in hundreds of dollars) of taking a economy passengers and y luxury passengers is though to be 2y² x² 2xy + 400 200 100 C(x, y) = 3x + 5y + + +35 Your job is to find out how many tickets of each type would lead to the maximum profit. How many ecomony passengers would lead to the highest profit? How many luxury passengers would lead to the highest profit?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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A cruise line sells tickets to two kinds of passengers, luxury and economy class. Suppose
that economy passengers pay $ 400 per ticket, while luxury passengers pay $ 800. The
cost (in hundreds of dollars) of taking a economy passengers and y luxury passengers is
though to be
x² 2xy 2y²
+
400 200 100
C(x, y) = 3x + 5y + +
+35
Your job is to find out how many tickets of each type would lead to the maximum
profit.
How many ecomony passengers would lead to the highest profit?
How many luxury passengers would lead to the highest profit?
Transcribed Image Text:A cruise line sells tickets to two kinds of passengers, luxury and economy class. Suppose that economy passengers pay $ 400 per ticket, while luxury passengers pay $ 800. The cost (in hundreds of dollars) of taking a economy passengers and y luxury passengers is though to be x² 2xy 2y² + 400 200 100 C(x, y) = 3x + 5y + + +35 Your job is to find out how many tickets of each type would lead to the maximum profit. How many ecomony passengers would lead to the highest profit? How many luxury passengers would lead to the highest profit?
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