Question

Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6

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Answer to a math question Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6

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Santino
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37 Answers
Primero, vamos a encontrar el precio de equilibrio en el mercado de las pelotas de golf. Para esto, tenemos las funciones de demanda y oferta:

Función de demanda: Q = 120 - 2Px - 2Py + 0,2I
Función de oferta: Q = 2Px + 40

Para encontrar el precio de equilibrio, igualamos las funciones de demanda y oferta:

120 - 2Px - 2Py + 0,2I = 2Px + 40

Simplificando la ecuación, tenemos:

4Px + 2Py = 80 + 0,2I

Reemplazamos los valores conocidos: I = 200 y Py = 40

4Px + 2(40) = 80 + 0,2(200)
4Px + 80 = 80 + 40
4Px = 40

Dividimos ambos lados de la ecuación por 4:

Px = 10

Ahora que tenemos el precio de equilibrio (Px = 10), podemos encontrar la cantidad de equilibrio utilizando la función de oferta:

Q = 2Px + 40
Q = 2(10) + 40
Q = 20 + 40
Q = 60

Por lo tanto, en el equilibrio, el precio es 10 y la cantidad es 60.

Ahora calculemos la elasticidad en el equilibrio. La elasticidad de demanda se calcula utilizando la fórmula:

Elasticidad = (% cambio en cantidad demandada) / (% cambio en precio)

Dado que estamos en el equilibrio, no hay cambios en el precio ni en la cantidad. Por lo tanto, la elasticidad en el equilibrio es 0.

Respuesta: d) 0,6.

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