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Marysya12 [62]
3 years ago
14

En una empresa agrícola, la utilidad (en miles de dólares) al vender x repuestos para tractores agrícolas está dada por la funci

ón () = − 2+ 32 a) Determine la cantidad de repuestos que se deben vender para obtener la máxima utilidad. b) ¿Cuál es el valor de la máxima utilidad?
Mathematics
1 answer:
Katena32 [7]3 years ago
6 0

Answer:

a. 5

b. 32

Step-by-step explanation:

Lo primero es corregir la función, la cual esta dada por () = − x^2+ 32, faltaba la x en la función, sino no tendría sentido.

a. debemos buscar la cantidad de repuesto donde el valor no sea haga negativo, por lo tanto debe ser un numero que al cuadrado no sea mayor que 32, pero sea el que más se encuentre cerca.

en este caso el valor es 5, debido que 6^2 es 36, es decir se pasa y 4^2 es 16, aunque no se pasa, es mejor 5^2 que es 25 y se encuentra más cerca.

b. El valor de máxima utilidad sería 32, ya que ese sería el mayor valor que podría tomar la función, el termino independiente.

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Answer:

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