The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars each: P(n) = -250n2 + 2,500n - 5,250 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
@ganeshie8
@$w3G_Godd
@hartnn
A) P(n) means the profit of selling tickets at n price. So, say P(12) = 10,000. This means the profit is $10,000 if the they decide to sell the concert tickets at $12 each. find zeros means find what value of n gives P(n) = 0. suppose n is, like P(500) = 0, this means there would be no profit if each ticket cost like $500 each. Of course you to find the actual value of n that makes the equations equal 0.
B and C are just calculator problems. ill leave that to @ganeshie8
Wait so I'm not understanding what the zeros mean?
@$w3G_Godd
maybe @ganeshie8 can explain it better for me im not really good at that
@ganeshie8
@ganeshie8
I think i got b and c. I just need a
for b i gotP(n)=-250n^2 +2,500n-4,000 p(n)'= -500n + 2500 pur p(n)'=0 u will get n = 5. -250(5^2) + 2500(5) - 4000 = 2250
for c i got(b/2*a) b=2500 and a=-250 -(b/2*a)=(2500/500) =5
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