Answer:
[tex]e_p[/tex] ≅ -1.7.
Explanation:
Let's calculate the change in quantity:
[tex]\frac{Q_2 - Q_1}{\frac{Q_2+Q_1}{2} } = \frac{50-100}{\frac{50+100}{2} } = (approx.) -0.67.[/tex]
Let's now calculate the change in price:
[tex]\frac{P_2 - QP_1}{\frac{P_2+P_1}{2} } = \frac{3.00-2.00}{\frac{3.00+2.00}{2} } = 0.40.[/tex]
Finally, let's calculate the price elasticity of demand:
[tex]e_p = \frac{-0.67}{0.40} = (approx) -1.7.[/tex]