Answer:
Qd = 400 units
elasticity of demand of the Accord with respect to the price of Camry = 0.5
elasticity with respect to the price of gasoline = -0.075
Explanation:
Solution:
The annual demand function for the Honda Accord is:
Qd = 430 – 10 PA + 10 PC – 10 PG
Where,
PA = Price of Honda Accord
PC = Price of Honda Camry
PG = Price of Gasoline per gallon.
Selling Price of both cars = $20,000
Fuel Cost = $3 per gallon.
a) Elasticity of Demand of the Accord with respect to the price of Camry.
First, we need to calculate the number of units demanded.
Qd = 430 – 10 PA + 10 PC – 10 PG
Qd = 430 – 10 (20) + 10 (20) – 10 (3.00)
Qd = 430 - 200 + 200 - 30
Qd = 430 - 30
Qd = 400 units
Cross-price elasticity of the Accord with respect to the price of the Camry will be:
Cross Price = (dQd/dPC) x (PC)/(Qd)
dQd/dPC = 10
PC = 20
Qd = 400
So,
Cross Price = 10* 20/400
Cross Price = 0.5
b) Elasticity with respect to the price of gasoline?
Elasticity = (dQd/dPG)*(PG/Qd)
dQd/dPG = -10
PG = 20
Qd = 400
Elasticity = (-10)*(3/400)
Elasticity = -0.075
