A tourism agency can sell up to 1500 travel packages for the Sugar Bowl college football postseason game in New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight airplane can carry up to 150 passengers, and the two-stop flight airplane can carry up to 100 passengers. The agency can locate no more than 12 planes for the travel packages. The tourism company makes a profit of $1100 for each non-stop flight airplane sold and $800 for each two-stop flight airplane sold. Assume that each plane will carry the maximum number of passengers. 2 Write a system of linear inequalities to represent the constraints. "Hint remember to 1. Define the variables for this situation. include the general constraints. 3. Graph the system of linear inequalities and shade the feasible region that shows the area of the graph representing valid combinations of nonstop and two-stop flight packages. Be sure to label your axes with correct increments.
A tourism agency can sell up to 1500 travel packages for the Sugar Bowl college football postseason game in New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight airplane can carry up to 150 passengers, and the two-stop flight airplane can carry up to 100 passengers. The agency can locate no more than 12 planes for the travel packages. The tourism company makes a profit of $1100 for each non-stop flight airplane sold and $800 for each two-stop flight airplane sold. Assume that each plane will carry the maximum number of passengers. 2 Write a system of linear inequalities to represent the constraints. "Hint remember to 1. Define the variables for this situation. include the general constraints. 3. Graph the system of linear inequalities and shade the feasible region that shows the area of the graph representing valid combinations of nonstop and two-stop flight packages. Be sure to label your axes with correct increments.
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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Transcribed Image Text:A tourism agency can sell up to 1500 travel packages for the Sugar Bowl college football postseason game in
New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights:
a nonstop flight or a two-stop flight. The nonstop flight airplane can carry up to 150 passengers, and the
two-stop flight airplane can carry up to 100 passengers. The agency can locate no more than 12 planes for the
travel packages. The tourism company makes a profit of $1100 for each non-stop flight airplane sold and $800
for each two-stop flight airplane sold. Assume that each plane will carry the maximum number of passengers.
2. Write a system of linear inequalities to
represent the constraints. "Hint remember to
1. Define the variables for this situation.
include the general constraints.
3. Graph the system of linear inequalities and
shade the feasible region that shows the area
of the graph representing valid combinations
of nonstop and two-stop flight packages. Be
sure to label your axes with correct
increments.
4. Write an objective function that maximizes the
revenue for the tourism agency.
5. Find the maximum revenue for the given
constraints and give the combination of flights
that achieves this maximum.
The maximum revenue would be
and would be achieved using
nonstop flights
and
two-stop flights.
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