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anonymous
 one year ago
Fan and Medal!
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars each:
P(n) = 250n^2 + 2,500n  4,000
Part A: What are the zeroes of the above function, and what do they represent? Show your work. (4 points)
Part B: Find the maximum profit by completing the square of the function P(n). Show the steps of your work. (4 points)
Part C: What is the axis of symmetry of the function P(n)? (2 points)
anonymous
 one year ago
Fan and Medal! The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars each: P(n) = 250n^2 + 2,500n  4,000 Part A: What are the zeroes of the above function, and what do they represent? Show your work. (4 points) Part B: Find the maximum profit by completing the square of the function P(n). Show the steps of your work. (4 points) Part C: What is the axis of symmetry of the function P(n)? (2 points)

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[P(n) = 250n^2 + 2,500n  4,000 \] you want the zeros?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I already finished part A I know the 0's are 2 and 8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(n\) is the price i guess if he prices the tickets at $2 or at $8 he makes no money

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The zeroes of the function would be 2 and 8. The zeroes of the function above represents the specific prices, 2 and 8, which will result in a zero profit.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes looks good to me

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now how do I "complete the square"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is a much easier way to do it (find the max) than completing the square, but we can do it that way too if you have to

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0first of all it is pretty obvious that if it is zero at 2 and at 8 then it is the biggest half way between at 5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0plus the first coordinate of the vertex is always \[\frac{b}{2a}\] which in your case is \[\frac{2500}{2\times (250)}=5\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, but it specifically asks to complete the square (which I hate because it's so confusing)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but we can still complete the square if you are dying to do it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0factor out the \(250\) from the first two terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[ 250n^2 + 2,500n  4,000 \] \[250(n^210n)4,000\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0P(n)=250(n^210n)4000?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right that is step one

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then half of \(10\) is \(5\) complete the square via \[250(n5)^24000+25\times 250\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah... I got lost there ):

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0when you replace \(n^210n\) by \(n5)^2\) you have changed it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(n5)^2=n^210n+25\] so you have added \(25\) when you make the change

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohh, okay I see that now, but like if it's so many numbers and such, my brain likes to just stop reading it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because when you square \(n5\) you get \((n5)^2=n^210n+25\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now don't forget the \(250\) outside the parentheses

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so actually you have subtracted \(25\times 250\) so you have to add it back

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hence \[250(n5)^24000+25\times 250\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but why the times symbol?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what else would you like me to write? look at this line \[250(n5)^2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if you multiply that out you get \[250(n^210n+25)\] as a first step

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I meant the times symbol for 25 x 250

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and when you multiply that out, you get \[250n^2+2500n6250\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you subtracted \(6250\) from the original expression, so you have to add it back

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is really a much much easier way to do it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, but my algebra teachers just love making us suffer haha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0since you know that the first coordinate of the vertex is \(5\) if you want the second coordinate, all you have to do is find \(P(5)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can pretend to to it the other way, but then just find \(P(5)\) and write that out at the end

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so after P(n)=250(n5)^24000+25*250 ,what do I do, or is that the final step?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0algebra teachers lead sad lives, most are either frustrated mathematicians or are teaching at the outer edge of their knowledge

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0compute the number at the end

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0250(n5)^24000+6250

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[400+25\times 250=2250\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And now? do I make it (n5)(n5)?
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