Answer:
Each widget should be sold for $22.2.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]
In this question:
The profit, y, is a quadratic function related to the price of widgets, x.
We want to find the price of each widget to generate maximum profit, that is, the x value of the vertex.
The profit function is:
[tex]y = -5x^2 + 222x - 1510[/tex]
So [tex]a = -5, b = 222, c = -1510[/tex]
The price for maximum profit is given by:
[tex]x_{v} = -\frac{b}{2a} = -\frac{222}{2(-5)} = -\frac{222}{-10} = 22.2[/tex]
Each widget should be sold for $22.2.
Answer:
Guys its 22.20 not 22.2.
Step-by-step explanation:
Brainliest????
