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2 years ago

Please Help Me, This Is So Difficult.

Mathematics

1 answer:

Julli [10]2 years ago

6 0

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

<h3>How to define the variables</h3>

Let x = number of non-stop airplanes

Let y = number of two-stop airplanes

<h3>The system of linear inequalities</h3>

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

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

Total Airplanes constraint: x + y <= 12

<h3>Graph the feasible region.</h3>

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

150x + 100y <= 1200

x + y <= 12

See attachment for the graph

<h3>The objective function</h3>

The objective function of the constraints is:

Max z = 1100x + 800y

<h3>The maximum revenue</h3>

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:

brainly.com/question/16826001

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3 years ago

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