Question

Please Help Ill Give Medal and Fan U!!!!!!!



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 zeros of the above function and what do they represent? Show your work.

Part B: Find the maximum profit by completing the square of the function P(n). Show your work.

Part C: What is the axis of symmetry of the function P(n)?

Answer 1

for part A put P(n)=-250n^2 +2,500n-4,000=0 and u'ii get values of n. i think those will be zeroes of the above function
for part B
P(n)=-250n^2 +2,500n-4,000
differntiate it
p(n)'= -500n + 2500
pur p(n)'=0
u will get n = 5.
now If you put 5 into the original function, it becomes
-250(5^2) + 2500(5) - 4000
= 2250
for part C
i'm assuming u know theory of quadratic equations
as the above function is a quadratic equation so it's axis of symmetry=-(b/2*a)
here b=2500 and a=-250
so -(b/2*a)=(2500/500)=5
hope u understand