¿Cuál es el precio si la cantidad de unidades demandada es 2940 usando la función demanda [tex]$D(X)=-6X+4200$[/tex]?

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13-08-2024
Mathematics

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¿Cuál es el precio si la cantidad de unidades demandada es 2940 usando la función demanda [tex]$D(X)=-6X+4200$[/tex]?

Sagot :

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GinnyAnsweridn GinnyAnsweridn · Answer 1 · 2024-08-13T19:11:51-04:00

Para resolver esta pregunta, seguimos estos pasos:

1. Entender la función demanda: La función demanda está dada por [tex]$D(X) = -6X + 4200$[/tex]. Esta función nos dice que el precio de un bien depende de la cantidad de unidades demandadas [tex]$X$[/tex].

2. Identificar la cantidad de unidades demandadas: En este problema, nos dicen que la cantidad de unidades demandadas es [tex]$X = 2940$[/tex].

3. Sustituir la cantidad de unidades demandadas en la función demanda: Debemos reemplazar [tex]$X$[/tex] por 2940 en la ecuación de la función demanda.

La ecuación es:
[tex]\[ D(X) = -6X + 4200 \][/tex]

Sustituyendo [tex]$X = 2940$[/tex] en la ecuación, tenemos:
[tex]\[ D(2940) = -6(2940) + 4200 \][/tex]

4. Realizar las operaciones necesarias: Primero multiplicamos:
[tex]\[ -6 \times 2940 = -17640 \][/tex]

Luego, sumamos este resultado a 4200:
[tex]\[ D(2940) = -17640 + 4200 = -13440 \][/tex]

5. Interpretar el resultado: El resultado nos da el precio correspondiente a una demanda de 2940 unidades.

Por lo tanto, el precio cuando la cantidad de unidades demandadas es 2940 es [tex]$-13440$[/tex].

Sagot :

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