SOLUTION: The function p=-h^2+60h-400 models the daily profit a barber shop makes from haircuts that include a shampoo. P is the profit in dollars, and h is the price of a haircut with a sha

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Question 919758: The function p=-h^2+60h-400 models the daily profit a barber shop makes from haircuts that include a shampoo. P is the profit in dollars, and h is the price of a haircut with a shampoo. How can i find the price that yields the maximum daily profit and the amount of the daily profit?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
the vertex form of a Parabola opening up(a>0) or down(a<0),
y=a%28x-h%29%5E2+%2Bk. V(h, k)
Completing the Square to Obtain the Vertex Form:
y = ax^2 + bx + c = 0
p=-h^2+60h-400 = 0 b%2F%28-2a%29+=+%2860%29%2F%281%29+=+30 30 the x-value for the Vertex
p = -(h - 30)^2 + 900 - 400= 0 -a%28b%2F%28-2a%29%29%5E2+= 900
p = -(h - 30)^2 + 500
V(30, 500)
h = $30, Profit $500