Problems and Applications Q8 Suppose subway ridership in New York City rose by 8 percent after a fare decrease of 25 cents to $2.50. Using the midpoint method, an estimate of the price elasticity of demand for subway rides is . True or False: According to your estimate, the Transit Authority's revenue rises when the fare decreases. True False

Respuesta :

Answer: -0.85

False.

Explanation: Price Elasticity of Demand = [tex]\frac{Percentage change in Quantity}{Percentage change in price}[/tex]

Percentage change in price = [tex]\frac{New Price- Original Price}{Average Price}[/tex]

Average Price = [tex]\frac{New Price + Old Price}{2}[/tex]

Old Price = 0.25 + New Price (2.5)  = 2.75

Average Price = [tex]\frac{2.75 +2.50}{2}[/tex]

=[tex]\frac{5.25}{2}[/tex]

=2.625

Percentage change in price = [tex]\frac{New Price- Original Price}{Average Price}[/tex]

=[tex]\frac{2.50-2.75}{2.65}[/tex]

=[tex]\frac{-0.25}{2.65}[/tex]

=-0.094

Price Elasticity of Demand = [tex]\frac{Percentage change in Quantity}{Percentage change in price}[/tex]

Price Elasticity of Demand= 8%/0.094 = [tex]\frac{0.08}{-0.094}[/tex]

=-0.85

B. False, the Transit Authority's revenue rises when the fare increases. The price elasticity of demand for subway rides is less than 1, meaning that demand is price inelastic and a change in price creates a smaller change in quantity demanded. If fares decrease, revenue decreases. If fares increase, revenue increases. Prices should be raised to increase revenue.