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.
Therefore the price to maximize the income is $0.35+$0.45=$0.80.
Answer:
3/2
Step-by-step explanation:
you basically just simplify the exponents first, and then simplify from there.
If you take 1/2 of a pizza and divide it up between 6 people, will you have more than 1 whole Pizza or less than 1 whole pizza?
If you divide up a fraction into smaller pieces it will always be less than 1 because it started out less than 1 and you're making it even smaller.
Answer:
Grant will make $60 from selling 12 magazines.
Step-by-step explanation:
Let m represent number of magazine sold and A represent amount of money earned.
We have been given that Grant earns $5 for each magazine he sells. So amount earned from m magazines would be 5 times m that is 
dollars.
Now, we will equate total amount earned by Grant with A as:
Therefore, our required equation would be .
To find the amount earned by Grant by selling 12 magazines, we will substitute 
in our equation as:
Therefore, Grant will make $60 from selling 12 magazines.
See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5
<h3>How to plot the numbers on the number line?</h3>
The numbers are given as:
5.3, 5 1/5 and 5
We start by representing the numbers as decimals (i.e. real numbers).
So, we have:
5.3, 5.2 and 5
Reorder the numbers in ascending number (i.e. from least to greatest)
So, we have
5, 5.2 and 5.3
Next, we plot the numbers on a number line using a scale of 0.1
This can be visualized as
5 5.2 5.3
See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5
Read more about number line at
brainly.com/question/24644930
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