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Inga [223]
2 years ago
12

Una compañía distribuidora de software puede vender 1200 unidades por semana cuando el precio es de $350 pesos. Además se determ

ina que si reduce $30 pesos al precio puede vender 120 unidades más por semana. Si la demanda es lineal. Plantear la función para la demanda en función del precio y utilizarla para obtener el precio si se vendieron 35 software.
Mathematics
1 answer:
notsponge [240]2 years ago
4 0

La ecuación de la linea es: y = -4x + 2600

<h3>¿Como determinar la relación lineal?</h3>

Tenemos dos puntos para nuestra linea, los cuales son (350, 1200) y (320, 1320).

Con esos dos puntos podemos obtener la pendiente de la linea:

a = \frac{1320 - 1200}{\ 320 - \ 350}  = -4

Entonces la linea es algo como:

y = (-4)*x + b

Para obtener el valor de b usamos uno de los dos puntos dados, como el primero:

1200 = (-4)*350 + b

1200 = -1400 + b

1200 + 1400 = b = 2600

Entonces la linea es:

y = -4x + 2600

Si se vendieron 35 unidades, podemos reemplazar:

35 = -4*x + 2600

4x = 2600 - 35 = 2565

x = 2565/4 = 641.25

Es decir, el precio es $641.25

Sí quieres aprender más sobre lineas:

brainly.com/question/4025726

#SPJ1

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