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Answer:
R(p) = -3500p^2 +48000p . . . revenue function
$6.86 . . . price for maximum revenue
Step-by-step explanation:
The 2-point form of the equation for a line can be used to find the attendance function.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (27000 -20000)/(6 -8)(x -8) +20000
y = -3500(x -8) +20000
y = 48000 -3500x . . . . y seats sold at price x
The per-game revenue is the product of price and quantity sold. In functional form, this is ...
R(p) = p(48000-3500p)
R(p) = -3500p^2 +48000p . . . per game revenue
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Revenue is maximized when its derivative is zero.
R'(p) = -7000p +48000
p = 48/7 ≈ 6.86
A ticket price of $6.86 would maximize revenue.
Answer:
3x-x+2=4
Step-by-step explanation:
Number of boys = x
Number of girls = x plus 15% of x = 1.15x
Ratio of boys to girls x:1.15x = 1:1.15 = 20:23
First, you have to figure out how many gallons Alonzo fills an hour. That's 6 times 60. 6*60=360. Then you figure out how many pints are in a gallon. That's 8 pints to a gallon. So 360 *8=2880. Alonzo fills 2,880 pints per hour!
Answer:
A 8^1/2
Step-by-step explanation: