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professor190 [17]
3 years ago
9

The ticket office at Orchestra Center estimates that if it charges x dollars for box seats for a concert, it will sell 50 - x bo

x seats. The function S = 50x - x2 gives the estimated income from the sale of box seats. Graph the function, and use the graph to find the price for box seats that will give the greatest income.
Mathematics
2 answers:
yan [13]3 years ago
6 0
S=50x-x^2

dS/dx=50-2x

d2S/dx2=-2

Since acceleration is a constant negative, when velocity equals zero, it is at the absolute maximum point for S(x)...

dS/dx=0 only when 50-2x=0, 2x=50, x=25

So the price that will maximize income is $25.00 a seat.

And that maximum income is:

S(25)=50x-x^2

S(25)=$625.00


mamaluj [8]3 years ago
4 0

Answer:

$25 per box seat

Step-by-step explanation:

I took the exam

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What is the solution to the linear equation?
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Hope that helps!!! (Answer:   Letter Choice (A),  p  =  1







8 0
3 years ago
Who’s right? And why?
kvasek [131]

Answer: Raymond is correct

The DJ charges $75 an hour.

=================================================

Explanation:

x = number of hours

y = total cost

The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)

Another point is (5,425) because a 5-hour event costs $425.

Let's find the slope of the line through these two points.

(x_1,y_1) = (3,275) \text{ and } (x_2,y_2)  = (5,425)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{425 - 275}{5 - 3}\\\\m = \frac{150}{2}\\\\m = 75\\\\

The slope is 75, meaning that each time y goes up by 75, x goes up by 1.

Flipped around it means each time x goes up by 1, y goes up by 75.

This means each time we add on an extra hour, the cost goes up by $75.

The DJ charges $75 an hour. Raymond is correct.

3 0
2 years ago
Give the domain and range. Tell if it is a function.
Anna [14]
It’s not a function
That’s all I know sorry!
6 0
3 years ago
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