A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
Y=-3x^2+155x-1148
Y=-3x^2+155x-1148
2 answers:
Answer:
The maximum amount of profit the company can make is $854.08
Step-by-step explanation:
Let
x ----> the selling price of each widget
y ---> the amount of profit
we have
This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
so
The y-coordinate of the vertex represent the maximum amount of profit the company can make
using a graphing tool
Find out the vertex of the quadratic equation
The vertex is the point (25.83,854.08)
see the attached figure
The y-coordinate of the vertex is 854.08
therefore
The maximum amount of profit the company can make is $854.08
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