Can somebody please help me asap
1 answer:
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Answer:
Widgets should be sold by $38.88 to maximize the profit.
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
Where
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 is given by:
Which is a quadratic function with
The maximum profit happens at the x of the vertex. Thus
Widgets should be sold by $38.88 to maximize the profit.
For this case we must find an expression equivalent to:
So:
We expanded by moving 2 out of the logarithm:
By definition of logarithm properties we have to:
The logarithm of a product is equal to the sum of the logarithms of each factor:
The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.
Then, rewriting the expression:
We apply distributive property:
Answer:
An equivalent expression is: