2) Fly-High Airlines sels business class and tourist class seats for its charter flights. To charter a plane at least 5 business ctass- tickets must be sold and at least 9 tourist class tickets must be sold. The piane does not hold more than 30 passengers. Fly- High makes $40 profit for each business class ticket sold and $45 profit for each tourist class ticket sold. In order for Fly-High Airlines to maximize its profits, how many tourist class seats should they sel?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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2) Fly-High Airlines sels business class and tourist class seats for its charter flights. To charter a plane at least 5 business class.
tickets must be sold and at least 9 tourist class tickets must be sold. The piane does not hold more then 30 passengers. Fly-
High makes $40 profit for each business ciass ticket sold and $45 profit for each tourist class ticket sold., in arder for Fly-High
Airlines to maximize its profits, how many tourist class seats should they sel?
X> bc seats
's te seats
75,9)
『ニ5
(al,7)
)~ ン
30
max profit i's 13A5.
The airline Should sell
5 business class seats
and 15 tourist class
Seats.
- 19.
Transcribed Image Text:2) Fly-High Airlines sels business class and tourist class seats for its charter flights. To charter a plane at least 5 business class. tickets must be sold and at least 9 tourist class tickets must be sold. The piane does not hold more then 30 passengers. Fly- High makes $40 profit for each business ciass ticket sold and $45 profit for each tourist class ticket sold., in arder for Fly-High Airlines to maximize its profits, how many tourist class seats should they sel? X> bc seats 's te seats 75,9) 『ニ5 (al,7) )~ ン 30 max profit i's 13A5. The airline Should sell 5 business class seats and 15 tourist class Seats. - 19.
We will not solve LP problems yet. Today, your task is to find a "solved" linear programming
problem which is related to your field of specialization. Indicate/acknowledge your source and try to
reconstruct the given solution using the following steps.
Problem
Define the unknowns.
Let x be
and y be
Write the objective function.
Minimize/maximize
Formulate the constraints as a system
of inequalities.
Find the feasible region that
graphically represent the constraints.
Determine the corner points
Calculate the value of the objective
function at each of the corner points to
determine which of them has the
minimum/maximum value
Write your decision rule/conclusion.
Transcribed Image Text:We will not solve LP problems yet. Today, your task is to find a "solved" linear programming problem which is related to your field of specialization. Indicate/acknowledge your source and try to reconstruct the given solution using the following steps. Problem Define the unknowns. Let x be and y be Write the objective function. Minimize/maximize Formulate the constraints as a system of inequalities. Find the feasible region that graphically represent the constraints. Determine the corner points Calculate the value of the objective function at each of the corner points to determine which of them has the minimum/maximum value Write your decision rule/conclusion.
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