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Using the vertex of the quadratic equation, it is found that the maximum profit she can earn is of $106.
<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.
In this problem, her profit is modeled by:
Which is a quadratic equation with coefficients a = -1, b = 14, c = 57, hence, her maximum profit in dollars is given by:
More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967