Suppose that the quantity of DVD players sold increased from 200 to 400 when the price fell from $225 to $175. Over this price range, the absolute value of the price elasticity of demand for DVD players is

a. 0.25.
b. 0.375.
c. 1.0.
d. 2.67.
e. 4.0.

Respuesta :

Answer:

Option D.

Explanation:

Given information:

[tex]Q_1=200, Q_2=400[/tex]

[tex]P_1=225, P_2=175[/tex]

Formula for price elasticity of demand is

[tex]E_d=\frac{Q_2-Q_1}{P_2-P_1}\times \frac{P_1+P_2}{Q_1+Q_2}[/tex]

Substitute the given values in the above formula.

[tex]E_d=\frac{400-200}{175-225}\times \frac{225+175}{200+400}[/tex]

[tex]E_d=\frac{200}{-50}\times \frac{400}{600}[/tex]

[tex]E_d=-\frac{8}{3}[/tex]

[tex]E_d\approx -2.67[/tex]

Absolute value is

[tex]|E_d|= |-2.67|=2.67[/tex]

The absolute value of the price elasticity of demand for DVD players is 2.67.

Therefore, the correct option is D.