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Sagot :
Usando conceptos de funciones cuadráticas, se encuentra que:
- El máximo ingreso será alcanzado en 6 años.
- El máximo ingreso será de 800 miles de soles.
La función que estimate el tiempo es dada por:
[tex]I(t) = -64 + 288t - 24t^2[/tex]
Que es una función cuadrática con coeficientes [tex]a = -24, b = 288, c = -64[/tex].
El año en qué se alcanzará el máximo ingreso es el valor de t de el vertice, o sea:
[tex]t_V = -\frac{b}{2a} = -\frac{288}{2(-24)} = \frac{288}{48} = 6[/tex]
El máximo ingreso será alcanzado en 6 años.
El valor del máximo ingreso es el valor de I de el vertice, o sea:
[tex]I_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Entonces:
[tex]I_v = -\frac{288^2 - 4(-24)(-64)}{4(-24)} = 800[/tex]
El máximo ingreso será de 800 miles de soles.
Un problema similar es dado en https://brainly.com/question/21434178
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