During the pandemic, airline companies struggle to revive their profit. To attain the targets, an international airline must sell at least 50 business class and 100 economy class tickets to earn a profit. It makes a profit of $500 by selling each business class ticket and a profit of $250 by selling an economy class ticket. No more than 180 passengers can board the plane at a time. Question1 : How many constraints, excluding the non-negative constraints, will be generated from the problem? Question2: How many business class tickets should be sold by the airline to maximize the profit? Question3: How many economy class tickets should be sold by the airline to maximize the profit? Question4: How much maximum profit the airline can earn?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.3: Systems Of Nonlinear Equations And Inequalities: Two Variables
Problem 3SE: When you graph a system of inequalities, will there always be a feasible region? If so, explain why....
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During the pandemic, airline companies struggle to revive their profit. To attain the targets, an international airline must sell at least 50 business class and 100 economy class tickets to earn a profit. It makes a profit of $500 by selling each business class ticket and a profit of $250 by selling an economy class ticket. No more than 180 passengers can board the plane at a time.
Question1 : How many constraints, excluding the non-negative constraints, will be generated from the problem?

Question2: How many business class tickets should be sold by the airline to maximize the profit?

Question3: How many economy class tickets should be sold by the airline to maximize the profit?

Question4: How much maximum profit the airline can earn?

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