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ASHA 777 [7]
3 years ago
15

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:
Rasek [7]3 years ago
5 0

Answer:  

Here, the given function,

S(x) = 50 x - x ^2 ----- (1)

For the maximum value of s(x),

s'(x) = 0

Where s'(x) is the first derivative of S(x)

By differetiating equation (1) with respect to x,

We get,

S'(x)= 50 - 2x

⇒ For maximum value of S(x), s'(x) = 0

⇒  50 - 2x = 0

⇒ 2x = 50

⇒ x = $ 25



Dmitriy789 [7]3 years ago
4 0
To estimate the price of box seats for the ticket office to have the greatest income, we derive the equation and equate the derivative to zero. 
                                    S = 50x - x²
Deriving,
                                dS = 50 - 2x = 0
The value of zero from the generated equation is 25. Thus, the company should sell tickets at approximately $25. 
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Talja [164]
11 liters of 25% orange juice, 4 liters of 10% orange juice:

1' let x to be 25% orange juice and y be 10% orange juice

2' .25x+.10y=(15).21

3' x+y=15

4' 2.5x+y=31.5 divide all sides by 10

5' -x-y=-15 multiply all sides by -1

6' 1.5x=16.5

7' x=11

8' y=15-11=4

so 11 and 4 are the answers.


4 0
3 years ago
99.73-63.434 rounded to the nearest whole number
Bingel [31]
<span>99.73-63.434 = 
</span>36.296
Round this to the nearest whole number 
= 36
6 0
3 years ago
I will mark brainliest
uranmaximum [27]
To start off, simplify the equation if needed:
3m>=21
Since both sides are divisible by 3, you can simplify for the equation to be

m>=7

Next is to find the domain of the line graph. Since the sign is more than or equal to (>=), the circle is closed.
And since m is MORE THAN OR EQUAL TO, the section starts at 7 (closed circle), and continues after. Therefore, your answer will be the third selection.
3 0
2 years ago
The price P of a good and the quality Q of a good are linked.
Irina-Kira [14]

the equilibrium point, is when Demand = Supply, namely, when the amount of "Q"uantity demanded by customers is the same as the Quantity supplied by vendors.

That occurs when both of these equations are equal to each other.

let's do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case, 12.


\bf \stackrel{\textit{Supply}}{-\cfrac{3}{4}Q+35}~~=~~\stackrel{\textit{Demand}}{\cfrac{2}{3}Q+1}\implies \stackrel{\textit{multiplying by 12}}{12\left( -\cfrac{3}{4}Q+35 \right)=12\left( \cfrac{2}{3}Q+1 \right)} \\\\\\ -9Q+420=8Q+12\implies 408=17Q\implies \cfrac{408}{17}=Q\implies \boxed{24=Q} \\\\\\ \stackrel{\textit{using the found Q in the Demand equation}}{P=\cfrac{2}{3}(24)+1}\implies P=16+1\implies \boxed{P=17} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{Equilibrium}{(24,17)}~\hfill



3 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 14PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
maksim [4K]

Answer:

a. d.

Step-by-step explanation:

4 0
3 years ago
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