A line passes through the point (-4,9) and has a slope of
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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:
Que es una función cuadrática con coeficientes .
El año en qué se alcanzará el máximo ingreso es el <u>valor de t de el vertice</u>, o sea:
El máximo ingreso será alcanzado en 6 años.
El valor del máximo ingreso es el valor de <u>I de el vertice</u>, o sea:
Entonces:
El máximo ingreso será de 800 miles de soles.
Un problema similar es dado en brainly.com/question/21434178
Answer:
The length and width of the plot that will maximize the area of the rectangular plot are 54 ft and 27 ft respectively.
Step-by-step explanation:
Given that,
The length of fencing of the rectangular plot is = 108 ft.
Let the longer side of the rectangular plot be x which is also the side along the river side and the width of the rectangular plot be y.
Since the fence along the river does not need.
So the total perimeter of the rectangle is =2(x+y) -x
=2x+2y-y
=x+2y
So,
x+2y =108
⇒x=108 -2y
Then the area of the rectangle plot is A = xy
A=xy
⇒A= (108-2y)y
⇒ A = 108y-2y²
A = 108y-2y²
Differentiating with respect to x
A'= 108 -4y
Again differentiating with respect to x
A''= -4
For maximum or minimum, A'=0
108 -4y=0
⇒4y=108
⇒y=27.
Since at y= 27, A''<0
So, at y=27 ft , the area of the rectangular plot maximum.
Then x= (108-2.27)
=54 ft.
The length and width of the plot that will maximize the area of the rectangular plot are 54 ft and 27 ft respectively.