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olya-2409 [2.1K]
3 years ago
8

La funcion que representa el beneficio obtenido por una empresa si vende x unidades de uno de sus productos es f(x)= -70x^2+2800

x-45000. ¿cuantas unidades tiene que vender para maximizar sus beneficios?
Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0

Answer:

20

Step-by-step explanation:

La función es

f(x)=-70x^2+2800x-45000

Diferenciando con respecto a x obtenemos

f'(x)=-140x+2800

Igualar con cero

0=-140x+2800\\\Rightarrow x=\dfrac{2800}{140}\\\Rightarrow x=20

Doble derivada de la función

f''(x)=-140

Entonces, la función es máxima cuando el número de unidades vendidas,  x=20,

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What is the solution of
kobusy [5.1K]

Answer:

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Isolating √(2x+4): Addind √x both sides of the equation:

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Simplifying on the left side, and applying on the right side the formula:

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Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

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Let's prove the solutions in the orignal equation:

1) x=0:

\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(0)+4}-\sqrt{0}=2\\ \sqrt{0+4}-0=2\\ \sqrt{4}=2\\ 2=2

x=0 is a solution


2) x=16

\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(16)+4}-\sqrt{16}=2\\ \sqrt{32+4}-4=2\\ \sqrt{36}-4=2\\ 6-4=2\\ 2=2

x=16 is a solution


Then the solutions are x=0 and x=16


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Answer:

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7 0
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