The question, “How many ways can 4 students be chosen from a class of 30 students?”, is a(n) _____. combination
2 answers:
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The slope of the equation is calculated as:
Where is the height of the upper part of the slope and
is the height of the low er part.
So, the equation of the line is:
With this equation we can find the height of Alberto after having passed 10 sec.
After 10 seconds Alberto is 350 feet from the bottom of the slope.
Alberto's speed is:
The speed in miles per hour is:
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:
