Thanks in advance for the help
2 answers:
For this case we must find the graphical solution of the following system of equations:
In the attached image it is observed that the lines are parallel, they are intercepted in all the points. In addition, it is observed that if we divide the second equation by 5 we obtain:, if we now multiply by 3 we obtain:
. Being shown that the lines are equal, therefore, the system has more than one solution.
ANswer:
Option B
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Using the vertex of a quadratic function, it is found that:
a) The revenue is maximized with 336 units.
b) The maximum revenue is of $56,448.
<h3>What is the vertex of a quadratic equation?</h3>A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
The demand function is given by:
p(x) = 336 - 0.5x.
Hence, the revenue function is:
R(x) = xp(x)
R(x) = -0.5x² + 336x.
Which has coefficients a = -0.5, b = 336.
Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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