A line that divides a circle into two equal halves is the?
2 answers:
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Answer:
The maximum revenue is 16000 dollars (at p = 40)
Step-by-step explanation:
One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.
Given function is:
Taking derivative wrt p
Now putting R'(p) = 0
As p is is positive and the second derivative is -20, the function will have maximum value at p = 40
Putting p=40 in function
The maximum revenue is 16000 dollars (at p = 40)
When solving polynomial equations, first set the equation
equal to zero, then check for a Greatest Common Factor.
Since there is no greatest common factor, this will make life a
little bit more difficult because we will have to factor the trinomial.
First, find all possible factors for constant term.
I have listed these in red below.
Make sure to reverse the factors since in each binomial,
the first term is different so we need to reverse the factors.
The factors of 5x² will just be 5x and z.
After finding factors for the constant and the leading
coefficient for your trinomial, we can eliminate some factors.
If you have an odd coefficient on the middle term,
you can eliminate any pairs of even factors.
So the group I crossed out in purple below will be eliminated.
Another strategy is to use factors a little closer together.
So I would go with the 4 and 3 group.
Surely enough, our trinomial does factor with the 4 and 3.
Now set the factored trinomial equal to 0.
Then use zero product property and you have your answer.
Hi there!
The answer is
We have the following inequality.
We can divide both sides by -6, but because we divide by a negative number, we must flip the sign.
The answer is
We have the following inequality.
We can divide both sides by -6, but because we divide by a negative number, we must flip the sign.