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 - 5,250 Part A: What are the zeroes of the above function, and what do they represent? Show your work.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

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 - 5,250 Part A: What are the zeroes of the above function, and what do they represent? Show your work.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

What does n represent?
dollars

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

precisely, n, is a price per ticket.
What does P(n) represent?
profit
Yes, when P(n) is 0, that means that the profit is zero (i.e. made nothing), right?
yes
The x-intercepts of this function are the values of n (or the value of the price per ticket) with which the P(n) (or the profit) is 0. (There are going to be 2 x-intercepts)
okay
So, if you find the x-intercepts, you are going to find the 2 possible values of a price per ticket with which the promoter will NOT profit (but will not lose).
So, do you see what these x-intercepts would mean?
yes
Ok, now you have to solve for these x-intercepts.
the x intercepts are 3 and 7?
yes, very good!
Perfect!
So, when the ticket costs 3$ or 7$ , then the promoter doesn't gain or lose.
now what?
when the *average* ticket I should say
Well, all you had to do is to find these zero (these x-intercepts), and to then say what these x-intercepts represent in your situtation.
you found x=3, and x=7 ((( and that is correct ))) now you have to say what do these intercepts mean/do/represent?
just say what we have agreed on in the beginning.
can you help me with part B?
what is part B?
I can try my best with it:)
Part B: Find the maximum profit by completing the square of the function P(n). Show the steps of your work.
Oh, good
``` SIDE - NOTE: Most people would say that this question requires calculus, but in a case of a parabola (a quadratic does not). (this what most people say is a mistake). ``` ALL YOU GOT TO DO: You have to write your P(n) in a vertex form, and the vertex is going to be the maximum.
so (5,1000)?
Let me see.... i wil be typing, and if it is right I will post the work, and if it is not, then I will ask you to redo it and follow along with me.
hope that is fair.
yes
\(\large\color{black}{ \displaystyle P(n) = -250{\rm n}^2 + 2,500{\rm n} - 5,250 }\) \(\large\color{black}{ \displaystyle P(n) = -250({\rm n}^2 -10{\rm n}) - 5,250 }\) \(\large\color{black}{ \displaystyle P(n) = -250({\rm n}^2 -10{\rm n}+25-25) - 5,250 }\) \(\large\color{black}{ \displaystyle P(n) = -250({\rm n}^2 -10{\rm n}+25)+(-250)(-25) - 5,250 }\) \(\large\color{black}{ \displaystyle P(n) = -250({\rm n}^2 -10{\rm n}+25)+1000 }\) \(\large\color{black}{ \displaystyle P(n) = -250({\rm n}-5)^2+1000 }\)
yes, that is correct
And quite quick
1 graphed it
oh, you graphed it... good, but it is very good (I would insist that even required) to know that without graphing.... in any case though, lets do a little review of what you have actually found just now,
the axis of symmetry would be 5 right? (Thats part C)
okay
yes part C is correct
now the review of what does the vertex of (5,1000) actually mean in this case.
thats the maximum about of profit the promoter can make?
that is you are refering to the point to a 5 or a 1000 ?
1000 makes more sense 1 think
yes
and what does 5 mean, can you tell me?
the amount the tickets cost?
yes
So when the average ticket costs 5$, you get a maximum profit of 1000
makes sense
A quite small, if not miserable profit in a real life situation... but won't be talking about a real life situation because such situations are never modeled with quadratics in real life....
yeah, so you got any questions regarding any of the PARTS ?
nope thats it
as usual you're the most helpful person on the whole site. Thanks!
\(\large{\bbox[5pt, cyan ,border:2px solid black ]{ \rm Thanks! }}\)
I wouldn't say I am most helpful, but won't deny some use.; you are always welcome!

Not the answer you are looking for?

Search for more explanations.

Ask your own question