Given:
Five and one half of 2 and one third.
To find:
The number for the given statement.
Solution:
Five and one half =
2 and one third =
The given statement is five and one half of 2 and one third.
Here, the word "of" is used for multiplication.
So, the expression for the given statement is:
Therefore, the required number is .
Given:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation
To find:
The maximum amount of profit the company can make, to the nearest dollar.
Solution:
If a quadratic equation is , then the vertex is
If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.
We have,
Here, . Clearly, a<0. So, the vertex is the point of maxima.
Putting x=23.931 in the given equation, we get
The vertex is at (23.931,6568.138).
Therefore, the maximum profit is $6568.138 when x=23.931.