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 what price the widgets should be sold for , Greg nearest cent , for the company make the maximum profit y=-5x^2+222x-1510

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:

It's vertex is the point

In which

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is

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:

So

The price for maximum profit is given by:

Each widget should be sold for $22.2.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.