Answer:15
Step-by-step explanation:
Given
Craftsman sell 10 Jewelry set for $500 each
For each additional set he will decrease the price by $ 25
Suppose he sells n set over 10 set
Earning
Earning
differentiate to get the maximum value
Equate to get maximum value
Thus must sell 5 extra set to maximize its earnings.
Answer:
No. James didn't have enough ticket takers to process the average number of patrons hat usually attend the events.
He need to hire 2 more ticket taker (i.e 20 ticket takers) in order to process the average number of patrons hat usually attend the events.
Step-by-step explanation:
Given:
Average amount of patron per event= 7000
Each ticket taker can process = 350
Number of ticket takers hired = 18
We need to find the whether he hire enough to process the average number of patrons that usually attend the events.
Solution:
We will find the Average amount of patron ticket takers can process.
Now we can say that
Average amount of patron ticket takers can process is equal to Each ticket taker can process multiplied by Number of ticket takers hired.
framing in equation form we get;
Average amount of patron ticket takers can process =
Hence With the required hires James cannot fully process the patrons usually attending the event.
To find how many ticket takers required we will divide average number of patrons with Each ticket taker can process.
framing in equation form we get;
ticket takers required =
hence In order t process the the average number of patrons that usually attend the events James will require 20 ticket takers.
Answer:
The final amount if 784 is decreased by 1% followed by a 4% increase is 807.52.
Step-by-step explanation:
General Formula
<em>A way to solve this problem is as follows</em>:
The general formula for this is taking into account that:
The <em>starting point</em> is number 784.
The most important key is the solution for this answer is that:
Where <em>x</em> is a number that we need to find. Then
[1]
Is 784 increased or decreased after all?
We also need to evaluate the following: if a quantity decreases a percentage, and then increases in another percentage, what is the final percentage? In this case, we have first that 784 decreases by 1% and then increases by 4%. As a result 784 will +4% - 1% = +3%, that is, 784 will increase in 3%.
Finding the result
If 784 increases by 3%, we have:
Which is equal to
Solving for <em>x</em>, we first multiply by 784 to both sides of the previous formula:
Remember that if we add, subtract, multiply, divide... to both sides of the equation, we do not "alter" this equation.
Subtracting 784 to both sides:
Multiplying by -1 to both sides:
We have to remember that:
Then
Therefore, using formula [1], an increase of 3% is
Since an increase of 3% is 23.52, we have to add this to the starting point 784, and finally the amount is 784 + 23.52 = 807.52.
As a result, the final amount if 784 is decreased by 1% followed by a 4% increase is 807.52.
In a more <em>terse way</em> of solving this problem, we can say that:
Increase of 4% = 784 * 0.04 = 31.36.
Decrease of 1% = 784 * 0.01 = 7.84.
Difference = 31.36 - 7.84 = 23.52.
Then, we need to add this value to 784, and 784 + 23.52 = 807.52 (the same result).