Please Help Me, This Is So Difficult.


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.

Define the variables for this situation.


Write a system of linear inequalities to represent the constraints.


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.




Write an objective function that maximizes the revenue for the tourism agency.


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.

Respuesta :

The maximum revenue would be $9600 and would be achieved using 0 nonstop flights and 12 two-stop flights.

How to define the variables

Let x = number of non-stop airplanes

Let y = number of two-stop airplanes

The system of linear inequalities

Using the variables in (a), we have the following constraints

Total passenger constraint: 150x + 100y <= 1500

Total Airplanes constraint: x + y <= 12

Graph the feasible region.

In (b), we have the following system of linear inequalities

150x + 100y <= 1200

x + y <= 12

See attachment for the graph

The objective function

The objective function of the constraints is:

Max z = 1100x + 800y

The maximum revenue

From the graph of the function, the optimal solution is:

(x,y) = (0,12)

So, the maximum revenue is:

z = 1100x + 800y

z = 1100*0 + 800*12

z = 9600

Hence, the maximum revenue is $9600

Read more about objective functions at:

https://brainly.com/question/16826001

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