A corporation reported profit of approximately $1500 million with approximately $24,300 million in revenues. Compare the profit
1 answer:
Answer:
Step-by-step explanation:
Given:
Profit = $1500 million
Revenue = $24,300 million
Profit to Revenue = [Since they both have same unit ($), this sign can be omitted]
<em>Now let's reduce the ratio above to its lowest terms...</em>
[First, the millions at the numerator and denominator cancel out]
[Next, the two zeros at the numerator and denominator cancel out]
[Next, divide both the numerator and denominator by 3]
Since no further division can be done, then the profit to revenue is in its lowest terms as
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Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is
Let y be the newspaper they sell, then the income will be
Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be
Plugging the value of y in the first expression we have that the income will be
Then the income is given by the function
To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,
no we equate the derivative to zero and solve for x.
This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then
Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.
With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.
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Given:
Circumference of a circle = C
Diameter of a circle = d
To find:
The relationship between the circumference, c, and diameter, d, of any circle.
Solution:
We know that, circumference of a circle is
It can be written as
On dividing both sides by d, we get
Therefore, the correct option is (F).